Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism

Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST fo...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Malik, R. P. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2005

Schlagwörter:	Manifold Gauge Symmetry Minkowski Spacetime Relativistic Particle Symmetry Transformation

Anmerkung:	© Springer-Verlag 2005

Übergeordnetes Werk:	Enthalten in: The European physical journal - Berlin : Springer, 1998, 45(2005), 2 vom: 05. Dez., Seite 513-524
Übergeordnetes Werk:	volume:45 ; year:2005 ; number:2 ; day:05 ; month:12 ; pages:513-524

Links:	Volltext

DOI / URN:	10.1140/epjc/s2005-02425-4

Katalog-ID:	SPR008305870

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912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_206
912			\|a GBV_ILN_267
912			\|a GBV_ILN_293
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2018
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
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912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
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912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
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allfields	10.1140/epjc/s2005-02425-4 doi (DE-627)SPR008305870 (SPR)s2005-02425-4-e DE-627 ger DE-627 rakwb eng Malik, R. P. verfasserin aut Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism 2005 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2005 Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided. Manifold (dpeaa)DE-He213 Gauge Symmetry (dpeaa)DE-He213 Minkowski Spacetime (dpeaa)DE-He213 Relativistic Particle (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 45(2005), 2 vom: 05. Dez., Seite 513-524 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:45 year:2005 number:2 day:05 month:12 pages:513-524 https://dx.doi.org/10.1140/epjc/s2005-02425-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_267 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 45 2005 2 05 12 513-524
spelling	10.1140/epjc/s2005-02425-4 doi (DE-627)SPR008305870 (SPR)s2005-02425-4-e DE-627 ger DE-627 rakwb eng Malik, R. P. verfasserin aut Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism 2005 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2005 Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided. Manifold (dpeaa)DE-He213 Gauge Symmetry (dpeaa)DE-He213 Minkowski Spacetime (dpeaa)DE-He213 Relativistic Particle (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 45(2005), 2 vom: 05. Dez., Seite 513-524 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:45 year:2005 number:2 day:05 month:12 pages:513-524 https://dx.doi.org/10.1140/epjc/s2005-02425-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_267 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 45 2005 2 05 12 513-524
allfields_unstemmed	10.1140/epjc/s2005-02425-4 doi (DE-627)SPR008305870 (SPR)s2005-02425-4-e DE-627 ger DE-627 rakwb eng Malik, R. P. verfasserin aut Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism 2005 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2005 Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided. Manifold (dpeaa)DE-He213 Gauge Symmetry (dpeaa)DE-He213 Minkowski Spacetime (dpeaa)DE-He213 Relativistic Particle (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 45(2005), 2 vom: 05. Dez., Seite 513-524 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:45 year:2005 number:2 day:05 month:12 pages:513-524 https://dx.doi.org/10.1140/epjc/s2005-02425-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_267 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 45 2005 2 05 12 513-524
allfieldsGer	10.1140/epjc/s2005-02425-4 doi (DE-627)SPR008305870 (SPR)s2005-02425-4-e DE-627 ger DE-627 rakwb eng Malik, R. P. verfasserin aut Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism 2005 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2005 Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided. Manifold (dpeaa)DE-He213 Gauge Symmetry (dpeaa)DE-He213 Minkowski Spacetime (dpeaa)DE-He213 Relativistic Particle (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 45(2005), 2 vom: 05. Dez., Seite 513-524 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:45 year:2005 number:2 day:05 month:12 pages:513-524 https://dx.doi.org/10.1140/epjc/s2005-02425-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_267 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 45 2005 2 05 12 513-524
allfieldsSound	10.1140/epjc/s2005-02425-4 doi (DE-627)SPR008305870 (SPR)s2005-02425-4-e DE-627 ger DE-627 rakwb eng Malik, R. P. verfasserin aut Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism 2005 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2005 Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided. Manifold (dpeaa)DE-He213 Gauge Symmetry (dpeaa)DE-He213 Minkowski Spacetime (dpeaa)DE-He213 Relativistic Particle (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 45(2005), 2 vom: 05. Dez., Seite 513-524 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:45 year:2005 number:2 day:05 month:12 pages:513-524 https://dx.doi.org/10.1140/epjc/s2005-02425-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_110 GBV_ILN_120 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_267 GBV_ILN_293 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2106 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_4012 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4338 AR 45 2005 2 05 12 513-524
language	English
source	Enthalten in The European physical journal 45(2005), 2 vom: 05. Dez., Seite 513-524 volume:45 year:2005 number:2 day:05 month:12 pages:513-524
sourceStr	Enthalten in The European physical journal 45(2005), 2 vom: 05. Dez., Seite 513-524 volume:45 year:2005 number:2 day:05 month:12 pages:513-524
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author	Malik, R. P.
spellingShingle	Malik, R. P. misc Manifold misc Gauge Symmetry misc Minkowski Spacetime misc Relativistic Particle misc Symmetry Transformation Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism
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topic_title	Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism Manifold (dpeaa)DE-He213 Gauge Symmetry (dpeaa)DE-He213 Minkowski Spacetime (dpeaa)DE-He213 Relativistic Particle (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213
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title	Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism
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title_sort	nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism
title_auth	Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism
abstract	Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided. © Springer-Verlag 2005
abstractGer	Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided. © Springer-Verlag 2005
abstract_unstemmed	Abstract. The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided. © Springer-Verlag 2005
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title_short	Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism
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The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework of the augmented superfield approach to the BRST formalism. The trajectory of this super particle, parametrized by a monotonically increasing evolution parameter τ, is embedded in a D-dimensional flat Minkowski spacetime manifold. This physically useful 1-dimensional system is considered on a three (1 + 2)-dimensional supermanifold which is parametrized by an even element (τ) and a couple of odd elements (θ and $\bar{\theta}$) of the Grassmann algebra. Two anticommuting sets of (anti-) BRST symmetry transformations, corresponding to the underlying (super) gauge symmetries for the above system, are derived in the framework of augmented superfield formulation where the horizontality condition, and the invariance of conserved quantities on the (super) manifolds play decisive roles. Geometrical interpretations for the above nilpotent symmetries (and their generators) are provided.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Manifold</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Gauge Symmetry</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Minkowski Spacetime</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Relativistic Particle</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Symmetry Transformation</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">The European physical journal</subfield><subfield code="d">Berlin : Springer, 1998</subfield><subfield code="g">45(2005), 2 vom: 05. 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Nilpotent symmetries for a spinning relativistic particlein augmented superfield formalism

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