Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches
We carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of the one 0+1-dimensional (1D) model of a free massive spinning relativistic particle (i.e., a supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. We use the modif...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/2056629 |
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| author | A. Tripathi B. Chauhan A. K. Rao R. P. Malik |
| author_facet | A. Tripathi B. Chauhan A. K. Rao R. P. Malik |
| author_sort | A. Tripathi |
| collection | DOAJ |
| description | We carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of the one 0+1-dimensional (1D) model of a free massive spinning relativistic particle (i.e., a supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. We use the modified Bonora-Tonin (BT) supervariable approach (MBTSA) to BRST formalism to obtain the nilpotent (anti-)BRST symmetry transformations of the target space variables and the (anti-)BRST invariant Curci-Ferrari- (CF-) type restriction for the 1D model of our supersymmetric (SUSY) system. The nilpotent (anti-)BRST symmetry transformations for other variables of our model are derived by using the (anti-)chiral supervariable approach (ACSA) to BRST formalism. Within the framework of the latter, we have shown the existence of the CF-type restriction by proving the (i) symmetry invariance of the coupled Lagrangians and (ii) the absolute anticommutativity property of the conserved (anti-)BRST charges. The application of the MBTSA to a physical SUSY system (i.e., a 1D model of a massive spinning particle) is a novel result in our present endeavor. In the application of ACSA, we have considered only the (anti-)chiral super expansions of the supervariables. Hence, the observation of the absolute anticommutativity of the (anti-)BRST charges is a novel result. The CF-type restriction is universal in nature as it turns out to be the same for the SUSY and non-SUSY reparameterization (i.e., 1D diffeomorphism) invariant models of the (non-)relativistic particles. |
| format | Article |
| id | doaj-art-b78a4d7849f14e7594f39a6748800170 |
| institution | Kabale University |
| issn | 1687-7365 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b78a4d7849f14e7594f39a67488001702025-02-03T01:28:54ZengWileyAdvances in High Energy Physics1687-73652021-01-01202110.1155/2021/2056629Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable ApproachesA. Tripathi0B. Chauhan1A. K. Rao2R. P. Malik3Physics DepartmentPhysics DepartmentPhysics DepartmentPhysics DepartmentWe carry out the Becchi-Rouet-Stora-Tyutin (BRST) quantization of the one 0+1-dimensional (1D) model of a free massive spinning relativistic particle (i.e., a supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. We use the modified Bonora-Tonin (BT) supervariable approach (MBTSA) to BRST formalism to obtain the nilpotent (anti-)BRST symmetry transformations of the target space variables and the (anti-)BRST invariant Curci-Ferrari- (CF-) type restriction for the 1D model of our supersymmetric (SUSY) system. The nilpotent (anti-)BRST symmetry transformations for other variables of our model are derived by using the (anti-)chiral supervariable approach (ACSA) to BRST formalism. Within the framework of the latter, we have shown the existence of the CF-type restriction by proving the (i) symmetry invariance of the coupled Lagrangians and (ii) the absolute anticommutativity property of the conserved (anti-)BRST charges. The application of the MBTSA to a physical SUSY system (i.e., a 1D model of a massive spinning particle) is a novel result in our present endeavor. In the application of ACSA, we have considered only the (anti-)chiral super expansions of the supervariables. Hence, the observation of the absolute anticommutativity of the (anti-)BRST charges is a novel result. The CF-type restriction is universal in nature as it turns out to be the same for the SUSY and non-SUSY reparameterization (i.e., 1D diffeomorphism) invariant models of the (non-)relativistic particles.http://dx.doi.org/10.1155/2021/2056629 |
| spellingShingle | A. Tripathi B. Chauhan A. K. Rao R. P. Malik Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches Advances in High Energy Physics |
| title | Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches |
| title_full | Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches |
| title_fullStr | Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches |
| title_full_unstemmed | Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches |
| title_short | Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches |
| title_sort | reparameterization invariant model of a supersymmetric system brst and supervariable approaches |
| url | http://dx.doi.org/10.1155/2021/2056629 |
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