Canonical quantization and chromodynamics in a spherical cavity
Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low the...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Buser, R. F. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1988 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 1988 |
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| Übergeordnetes Werk: |
Enthalten in: International journal of theoretical physics - Kluwer Academic Publishers-Plenum Publishers, 1968, 27(1988), 8 vom: Aug., Seite 925-993 |
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| Übergeordnetes Werk: |
volume:27 ; year:1988 ; number:8 ; month:08 ; pages:925-993 |
| Links: |
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| DOI / URN: |
10.1007/BF00669439 |
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OLC2052330062 |
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| 520 | |a Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. | ||
| 650 | 4 | |a Ghost | |
| 650 | 4 | |a Cavity Mode | |
| 650 | 4 | |a Spherical Cavity | |
| 650 | 4 | |a Canonical Quantization | |
| 650 | 4 | |a Quantization Formalism | |
| 700 | 1 | |a Viollier, R. D. |4 aut | |
| 700 | 1 | |a Zimak, P. |4 aut | |
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10.1007/BF00669439 doi (DE-627)OLC2052330062 (DE-He213)BF00669439-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Buser, R. F. verfasserin aut Canonical quantization and chromodynamics in a spherical cavity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1988 Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. Ghost Cavity Mode Spherical Cavity Canonical Quantization Quantization Formalism Viollier, R. D. aut Zimak, P. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 27(1988), 8 vom: Aug., Seite 925-993 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:27 year:1988 number:8 month:08 pages:925-993 https://doi.org/10.1007/BF00669439 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 33.00 VZ AR 27 1988 8 08 925-993 |
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10.1007/BF00669439 doi (DE-627)OLC2052330062 (DE-He213)BF00669439-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Buser, R. F. verfasserin aut Canonical quantization and chromodynamics in a spherical cavity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1988 Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. Ghost Cavity Mode Spherical Cavity Canonical Quantization Quantization Formalism Viollier, R. D. aut Zimak, P. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 27(1988), 8 vom: Aug., Seite 925-993 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:27 year:1988 number:8 month:08 pages:925-993 https://doi.org/10.1007/BF00669439 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 33.00 VZ AR 27 1988 8 08 925-993 |
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10.1007/BF00669439 doi (DE-627)OLC2052330062 (DE-He213)BF00669439-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Buser, R. F. verfasserin aut Canonical quantization and chromodynamics in a spherical cavity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1988 Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. Ghost Cavity Mode Spherical Cavity Canonical Quantization Quantization Formalism Viollier, R. D. aut Zimak, P. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 27(1988), 8 vom: Aug., Seite 925-993 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:27 year:1988 number:8 month:08 pages:925-993 https://doi.org/10.1007/BF00669439 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 33.00 VZ AR 27 1988 8 08 925-993 |
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10.1007/BF00669439 doi (DE-627)OLC2052330062 (DE-He213)BF00669439-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Buser, R. F. verfasserin aut Canonical quantization and chromodynamics in a spherical cavity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1988 Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. Ghost Cavity Mode Spherical Cavity Canonical Quantization Quantization Formalism Viollier, R. D. aut Zimak, P. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 27(1988), 8 vom: Aug., Seite 925-993 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:27 year:1988 number:8 month:08 pages:925-993 https://doi.org/10.1007/BF00669439 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 33.00 VZ AR 27 1988 8 08 925-993 |
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10.1007/BF00669439 doi (DE-627)OLC2052330062 (DE-He213)BF00669439-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Buser, R. F. verfasserin aut Canonical quantization and chromodynamics in a spherical cavity 1988 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 1988 Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. Ghost Cavity Mode Spherical Cavity Canonical Quantization Quantization Formalism Viollier, R. D. aut Zimak, P. aut Enthalten in International journal of theoretical physics Kluwer Academic Publishers-Plenum Publishers, 1968 27(1988), 8 vom: Aug., Seite 925-993 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:27 year:1988 number:8 month:08 pages:925-993 https://doi.org/10.1007/BF00669439 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_70 GBV_ILN_130 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_2279 GBV_ILN_4012 GBV_ILN_4306 GBV_ILN_4310 GBV_ILN_4318 GBV_ILN_4700 33.00 VZ AR 27 1988 8 08 925-993 |
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Buser, R. F. Viollier, R. D. Zimak, P. |
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canonical quantization and chromodynamics in a spherical cavity |
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Canonical quantization and chromodynamics in a spherical cavity |
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Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. © Plenum Publishing Corporation 1988 |
| abstractGer |
Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. © Plenum Publishing Corporation 1988 |
| abstract_unstemmed |
Abstract The canonical quantization formalism is applied to the Lagrange density of chromodynamics, which includes gauge fixing and Faddeev-Popov ghost terms in a general covariant gauge. We develop the quantum theory of the interacting fields in the Dirac picture, based on the Gell-Mann and Low theorem and the Dyson expansion of the time evolution operator. The physical states are characterized by their invariance under Becchi-Rouet-Stora transformations. Subsequently, confinement is introduced phenomenologically by imposing, on the quark, gluon, and ghost field operators, the linear boundary conditions of the MIT bag model at the surface of a spherically symmetric and static cavity. Based on this formalism, we calculate, in the Feynman gauge, all nondivergent Feynman diagrams of second order in the strong coupling constantg. Explicit values of the matrix elements are given for low-lying quark and gluon cavity modes. © Plenum Publishing Corporation 1988 |
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Canonical quantization and chromodynamics in a spherical cavity |
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