Augmented superfield approach to gauge-invariant massive 2-form theory
Abstract We discuss the complete sets of the off-shell nilpotent (i.e. $$s^2_{(a)b} = 0$$ s ( a ) b 2 = 0 ) and absolutely anticommuting (i.e. $$s_b s_{ab} + s_{ab} s_b = 0$$ s b s a b + s a b s b = 0 ) Becchi–Rouet–Stora–Tyutin (BRST) $$(s_b)$$ ( s b ) and anti-BRST $$(s_{ab})$$ ( s a b ) symmetrie...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-4954-y |
| _version_ | 1819012169388261376 |
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| author | R. Kumar S. Krishna |
| author_facet | R. Kumar S. Krishna |
| author_sort | R. Kumar |
| collection | DOAJ |
| description | Abstract We discuss the complete sets of the off-shell nilpotent (i.e. $$s^2_{(a)b} = 0$$ s ( a ) b 2 = 0 ) and absolutely anticommuting (i.e. $$s_b s_{ab} + s_{ab} s_b = 0$$ s b s a b + s a b s b = 0 ) Becchi–Rouet–Stora–Tyutin (BRST) $$(s_b)$$ ( s b ) and anti-BRST $$(s_{ab})$$ ( s a b ) symmetries for the $$(3+1)$$ ( 3 + 1 ) -dimensional (4D) gauge-invariant massive 2-form theory within the framework of an augmented superfield approach to the BRST formalism. In this formalism, we obtain the coupled (but equivalent) Lagrangian densities which respect both BRST and anti-BRST symmetries on the constrained hypersurface defined by the Curci–Ferrari type conditions. The absolute anticommutativity property of the (anti-) BRST transformations (and corresponding generators) is ensured by the existence of the Curci–Ferrari type conditions which emerge very naturally in this formalism. Furthermore, the gauge-invariant restriction plays a decisive role in deriving the proper (anti-) BRST transformations for the Stückelberg-like vector field. |
| first_indexed | 2024-12-21T01:39:47Z |
| format | Article |
| id | doaj.art-6b481236ac174c0b9e8f9d265e64f605 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T01:39:47Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6b481236ac174c0b9e8f9d265e64f6052022-12-21T19:20:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-06-0177611210.1140/epjc/s10052-017-4954-yAugmented superfield approach to gauge-invariant massive 2-form theoryR. Kumar0S. Krishna1Department of Physics and Astrophysics, University of DelhiIndian Institute of Science Education and Research MohaliAbstract We discuss the complete sets of the off-shell nilpotent (i.e. $$s^2_{(a)b} = 0$$ s ( a ) b 2 = 0 ) and absolutely anticommuting (i.e. $$s_b s_{ab} + s_{ab} s_b = 0$$ s b s a b + s a b s b = 0 ) Becchi–Rouet–Stora–Tyutin (BRST) $$(s_b)$$ ( s b ) and anti-BRST $$(s_{ab})$$ ( s a b ) symmetries for the $$(3+1)$$ ( 3 + 1 ) -dimensional (4D) gauge-invariant massive 2-form theory within the framework of an augmented superfield approach to the BRST formalism. In this formalism, we obtain the coupled (but equivalent) Lagrangian densities which respect both BRST and anti-BRST symmetries on the constrained hypersurface defined by the Curci–Ferrari type conditions. The absolute anticommutativity property of the (anti-) BRST transformations (and corresponding generators) is ensured by the existence of the Curci–Ferrari type conditions which emerge very naturally in this formalism. Furthermore, the gauge-invariant restriction plays a decisive role in deriving the proper (anti-) BRST transformations for the Stückelberg-like vector field.http://link.springer.com/article/10.1140/epjc/s10052-017-4954-y |
| spellingShingle | R. Kumar S. Krishna Augmented superfield approach to gauge-invariant massive 2-form theory European Physical Journal C: Particles and Fields |
| title | Augmented superfield approach to gauge-invariant massive 2-form theory |
| title_full | Augmented superfield approach to gauge-invariant massive 2-form theory |
| title_fullStr | Augmented superfield approach to gauge-invariant massive 2-form theory |
| title_full_unstemmed | Augmented superfield approach to gauge-invariant massive 2-form theory |
| title_short | Augmented superfield approach to gauge-invariant massive 2-form theory |
| title_sort | augmented superfield approach to gauge invariant massive 2 form theory |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-4954-y |
| work_keys_str_mv | AT rkumar augmentedsuperfieldapproachtogaugeinvariantmassive2formtheory AT skrishna augmentedsuperfieldapproachtogaugeinvariantmassive2formtheory |