On gauge-invariant deformation of reducible gauge theories
Abstract New method for construction of gauge-invariant deformed theory from an initial gauge theory proposed in our previous papers (Buchbinder and Lavrov in JHEP 06:854, 2021; Buchbinder and Lavrov in Eur Phys J C 81:856, 2021) for closed/open gauge algebras is extended to the case of reducible ga...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10394-x |
| _version_ | 1818203045118345216 |
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| author | P. M. Lavrov |
| author_facet | P. M. Lavrov |
| author_sort | P. M. Lavrov |
| collection | DOAJ |
| description | Abstract New method for construction of gauge-invariant deformed theory from an initial gauge theory proposed in our previous papers (Buchbinder and Lavrov in JHEP 06:854, 2021; Buchbinder and Lavrov in Eur Phys J C 81:856, 2021) for closed/open gauge algebras is extended to the case of reducible gauge algebras. The deformation procedure is explicitly described with the help of generating functions of anticanonical transformations depending on fields of the initial gauge action only. The deformed gauge-invariant action and the deformed gauge generators are described with the help of the generating functions in a closed and simple form. As an example of reducible gauge systems we consider the free fermionic p-form fields or, in another words, the antisymmetric tensor-spinor fields. It is proved that gauge-invariant deformation of fermionic p-form fields leads always to non-local deformed theory which does not contain a closed local sector. In its turn the model based on two fermionic 2-form fields and a real massive scalar field admits local interactions between these fields in local sector of the deformed action. |
| first_indexed | 2024-12-12T03:19:06Z |
| format | Article |
| id | doaj.art-5b64c015e6644f4286018d6f3b16288c |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-12-12T03:19:06Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-5b64c015e6644f4286018d6f3b16288c2022-12-22T00:40:13ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-05-018251910.1140/epjc/s10052-022-10394-xOn gauge-invariant deformation of reducible gauge theoriesP. M. Lavrov0Center of Theoretical Physics, Tomsk State Pedagogical UniversityAbstract New method for construction of gauge-invariant deformed theory from an initial gauge theory proposed in our previous papers (Buchbinder and Lavrov in JHEP 06:854, 2021; Buchbinder and Lavrov in Eur Phys J C 81:856, 2021) for closed/open gauge algebras is extended to the case of reducible gauge algebras. The deformation procedure is explicitly described with the help of generating functions of anticanonical transformations depending on fields of the initial gauge action only. The deformed gauge-invariant action and the deformed gauge generators are described with the help of the generating functions in a closed and simple form. As an example of reducible gauge systems we consider the free fermionic p-form fields or, in another words, the antisymmetric tensor-spinor fields. It is proved that gauge-invariant deformation of fermionic p-form fields leads always to non-local deformed theory which does not contain a closed local sector. In its turn the model based on two fermionic 2-form fields and a real massive scalar field admits local interactions between these fields in local sector of the deformed action.https://doi.org/10.1140/epjc/s10052-022-10394-x |
| spellingShingle | P. M. Lavrov On gauge-invariant deformation of reducible gauge theories European Physical Journal C: Particles and Fields |
| title | On gauge-invariant deformation of reducible gauge theories |
| title_full | On gauge-invariant deformation of reducible gauge theories |
| title_fullStr | On gauge-invariant deformation of reducible gauge theories |
| title_full_unstemmed | On gauge-invariant deformation of reducible gauge theories |
| title_short | On gauge-invariant deformation of reducible gauge theories |
| title_sort | on gauge invariant deformation of reducible gauge theories |
| url | https://doi.org/10.1140/epjc/s10052-022-10394-x |
| work_keys_str_mv | AT pmlavrov ongaugeinvariantdeformationofreduciblegaugetheories |