An alternative to the horizontality condition in the superfield approach to BRST symmetries

Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the fram...
Ausführliche Beschreibung

Gespeichert in:

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

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2007

Schlagwörter:	Gauge Theory Ghost Lagrangian Density Symmetry Transformation Abelian Gauge Theory

Übergeordnetes Werk:	Enthalten in: The European physical journal - Berlin : Springer, 1998, 51(2007), 1 vom: 01. Juni, Seite 169-177
Übergeordnetes Werk:	volume:51 ; year:2007 ; number:1 ; day:01 ; month:06 ; pages:169-177

Links:	Volltext

DOI / URN:	10.1140/epjc/s10052-007-0282-y

Katalog-ID:	SPR008310777

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912			\|a GBV_ILN_95
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
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912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
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912			\|a GBV_ILN_267
912			\|a GBV_ILN_293
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
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912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2068
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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
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Indexfelder

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allfields	10.1140/epjc/s10052-007-0282-y doi (DE-627)SPR008310777 (SPR)s10052-007-0282-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.50 bkl Malik, R.P. verfasserin aut An alternative to the horizontality condition in the superfield approach to BRST symmetries 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed out clearly. Gauge Theory (dpeaa)DE-He213 Ghost (dpeaa)DE-He213 Lagrangian Density (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Abelian Gauge Theory (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 51(2007), 1 vom: 01. Juni, Seite 169-177 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:51 year:2007 number:1 day:01 month:06 pages:169-177 https://dx.doi.org/10.1140/epjc/s10052-007-0282-y 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 33.50 ASE AR 51 2007 1 01 06 169-177
spelling	10.1140/epjc/s10052-007-0282-y doi (DE-627)SPR008310777 (SPR)s10052-007-0282-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.50 bkl Malik, R.P. verfasserin aut An alternative to the horizontality condition in the superfield approach to BRST symmetries 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed out clearly. Gauge Theory (dpeaa)DE-He213 Ghost (dpeaa)DE-He213 Lagrangian Density (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Abelian Gauge Theory (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 51(2007), 1 vom: 01. Juni, Seite 169-177 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:51 year:2007 number:1 day:01 month:06 pages:169-177 https://dx.doi.org/10.1140/epjc/s10052-007-0282-y 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 33.50 ASE AR 51 2007 1 01 06 169-177
allfields_unstemmed	10.1140/epjc/s10052-007-0282-y doi (DE-627)SPR008310777 (SPR)s10052-007-0282-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.50 bkl Malik, R.P. verfasserin aut An alternative to the horizontality condition in the superfield approach to BRST symmetries 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed out clearly. Gauge Theory (dpeaa)DE-He213 Ghost (dpeaa)DE-He213 Lagrangian Density (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Abelian Gauge Theory (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 51(2007), 1 vom: 01. Juni, Seite 169-177 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:51 year:2007 number:1 day:01 month:06 pages:169-177 https://dx.doi.org/10.1140/epjc/s10052-007-0282-y 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 33.50 ASE AR 51 2007 1 01 06 169-177
allfieldsGer	10.1140/epjc/s10052-007-0282-y doi (DE-627)SPR008310777 (SPR)s10052-007-0282-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.50 bkl Malik, R.P. verfasserin aut An alternative to the horizontality condition in the superfield approach to BRST symmetries 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed out clearly. Gauge Theory (dpeaa)DE-He213 Ghost (dpeaa)DE-He213 Lagrangian Density (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Abelian Gauge Theory (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 51(2007), 1 vom: 01. Juni, Seite 169-177 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:51 year:2007 number:1 day:01 month:06 pages:169-177 https://dx.doi.org/10.1140/epjc/s10052-007-0282-y 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 33.50 ASE AR 51 2007 1 01 06 169-177
allfieldsSound	10.1140/epjc/s10052-007-0282-y doi (DE-627)SPR008310777 (SPR)s10052-007-0282-y-e DE-627 ger DE-627 rakwb eng 530 ASE 33.50 bkl Malik, R.P. verfasserin aut An alternative to the horizontality condition in the superfield approach to BRST symmetries 2007 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed out clearly. Gauge Theory (dpeaa)DE-He213 Ghost (dpeaa)DE-He213 Lagrangian Density (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Abelian Gauge Theory (dpeaa)DE-He213 Enthalten in The European physical journal Berlin : Springer, 1998 51(2007), 1 vom: 01. Juni, Seite 169-177 (DE-627)253722934 (DE-600)1459069-4 1434-6052 nnns volume:51 year:2007 number:1 day:01 month:06 pages:169-177 https://dx.doi.org/10.1140/epjc/s10052-007-0282-y 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 33.50 ASE AR 51 2007 1 01 06 169-177
language	English
source	Enthalten in The European physical journal 51(2007), 1 vom: 01. Juni, Seite 169-177 volume:51 year:2007 number:1 day:01 month:06 pages:169-177
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author	Malik, R.P.
spellingShingle	Malik, R.P. ddc 530 bkl 33.50 misc Gauge Theory misc Ghost misc Lagrangian Density misc Symmetry Transformation misc Abelian Gauge Theory An alternative to the horizontality condition in the superfield approach to BRST symmetries
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topic_title	530 ASE 33.50 bkl An alternative to the horizontality condition in the superfield approach to BRST symmetries Gauge Theory (dpeaa)DE-He213 Ghost (dpeaa)DE-He213 Lagrangian Density (dpeaa)DE-He213 Symmetry Transformation (dpeaa)DE-He213 Abelian Gauge Theory (dpeaa)DE-He213
topic	ddc 530 bkl 33.50 misc Gauge Theory misc Ghost misc Lagrangian Density misc Symmetry Transformation misc Abelian Gauge Theory
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title	An alternative to the horizontality condition in the superfield approach to BRST symmetries
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title_full	An alternative to the horizontality condition in the superfield approach to BRST symmetries
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title_sort	alternative to the horizontality condition in the superfield approach to brst symmetries
title_auth	An alternative to the horizontality condition in the superfield approach to BRST symmetries
abstract	Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed out clearly.
abstractGer	Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed out clearly.
abstract_unstemmed	Abstract We provide an alternative to the gauge covariant horizontality condition, which is responsible for the derivation of the nilpotent (anti-) BRST symmetry transformations for the gauge and (anti-) ghost fields of a (3+1)-dimensional (4D) interacting 1-form non-Abelian gauge theory in the framework of the usual superfield approach to the Becchi–Rouet–Stora–Tyutin (BRST) formalism. The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. The key differences and the striking similarities between the above two conditions are pointed out clearly.
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title_short	An alternative to the horizontality condition in the superfield approach to BRST symmetries
url	https://dx.doi.org/10.1140/epjc/s10052-007-0282-y
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doi_str	10.1140/epjc/s10052-007-0282-y
up_date	2024-07-03T18:35:02.002Z
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The above covariant horizontality condition is replaced by a gauge invariant restriction on the (4,2)-dimensional supermanifold, parameterised by a set of four spacetime coordinates, $ x^{μ} $(μ=0,1,2,3), and a pair of Grassmannian variables, θ and θ̄. The latter condition enables us to derive the nilpotent (anti-) BRST symmetry transformations for all the fields of an interacting 1-form 4D non-Abelian gauge theory in which there is an explicit coupling between the gauge field and the Dirac fields. 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An alternative to the horizontality condition in the superfield approach to BRST symmetries

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