Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST Approach
Within the framework of the Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the full set of proper BRST and anti-BRST transformations for a 2D diffeomorphism invariant theory which is described by the Lagrangian density of a standard bosonic string. The above (anti-)BRST transformations are o...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/8155214 |
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| author | R. P. Malik |
| author_facet | R. P. Malik |
| author_sort | R. P. Malik |
| collection | DOAJ |
| description | Within the framework of the Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the full set of proper BRST and anti-BRST transformations for a 2D diffeomorphism invariant theory which is described by the Lagrangian density of a standard bosonic string. The above (anti-)BRST transformations are off-shell nilpotent and absolutely anticommuting. The latter property is valid on a submanifold of the space of quantum fields where the 2D version of the universal (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions is satisfied. We derive the precise forms of the BRST and anti-BRST invariant Lagrangian densities as well as the exact expressions for the conserved (anti-)BRST and ghost charges. The lucid derivation of the proper anti-BRST symmetry transformations and the emergence of the CF-type restrictions are completely novel results for our present bosonic string which has already been discussed earlier in literature where only the BRST symmetry transformations have been pointed out. We briefly mention the derivation of the CF-type restrictions from the modified version of the Bonora-Tonin superfield approach, too. |
| format | Article |
| id | doaj-art-9a53e33c202243fe986c14fe68e797f6 |
| institution | Kabale University |
| issn | 1687-7365 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-9a53e33c202243fe986c14fe68e797f62025-02-03T06:05:54ZengWileyAdvances in High Energy Physics1687-73652022-01-01202210.1155/2022/8155214Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST ApproachR. P. Malik0Physics DepartmentWithin the framework of the Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the full set of proper BRST and anti-BRST transformations for a 2D diffeomorphism invariant theory which is described by the Lagrangian density of a standard bosonic string. The above (anti-)BRST transformations are off-shell nilpotent and absolutely anticommuting. The latter property is valid on a submanifold of the space of quantum fields where the 2D version of the universal (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions is satisfied. We derive the precise forms of the BRST and anti-BRST invariant Lagrangian densities as well as the exact expressions for the conserved (anti-)BRST and ghost charges. The lucid derivation of the proper anti-BRST symmetry transformations and the emergence of the CF-type restrictions are completely novel results for our present bosonic string which has already been discussed earlier in literature where only the BRST symmetry transformations have been pointed out. We briefly mention the derivation of the CF-type restrictions from the modified version of the Bonora-Tonin superfield approach, too.http://dx.doi.org/10.1155/2022/8155214 |
| spellingShingle | R. P. Malik Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST Approach Advances in High Energy Physics |
| title | Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST Approach |
| title_full | Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST Approach |
| title_fullStr | Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST Approach |
| title_full_unstemmed | Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST Approach |
| title_short | Nilpotent Symmetries of a Model of 2D Diffeomorphism Invariant Theory: BRST Approach |
| title_sort | nilpotent symmetries of a model of 2d diffeomorphism invariant theory brst approach |
| url | http://dx.doi.org/10.1155/2022/8155214 |
| work_keys_str_mv | AT rpmalik nilpotentsymmetriesofamodelof2ddiffeomorphisminvarianttheorybrstapproach |