Re-parameterization invariance of FRW model: Supervariable and BRST approaches
We perform the Becchi-Rouet-Stora-Tyutin (BRST) quantization of a (0+1)-dimensional cosmological Friedmann-Robertson-Walker (FRW) model. This quantization leverages the classical infinitesimal and continuous re-parameterization symmetry transformations of the system. To derive the nilpotent re-param...
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Elsevier
2025-03-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325000264 |
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| author | B. Chauhan R. Tripathi |
| author_facet | B. Chauhan R. Tripathi |
| author_sort | B. Chauhan |
| collection | DOAJ |
| description | We perform the Becchi-Rouet-Stora-Tyutin (BRST) quantization of a (0+1)-dimensional cosmological Friedmann-Robertson-Walker (FRW) model. This quantization leverages the classical infinitesimal and continuous re-parameterization symmetry transformations of the system. To derive the nilpotent re-parameterization invariant BRST-anti-BRST symmetry transformations for the scale factor and corresponding momentum variables present in the cosmological FRW model, we employ the modified Bonora-Tonin supervariable approach (MBTSA) to BRST formalism. Through this approach, we also establish the BRST-anti-BRST invariant Curci-Ferrari (CF)-type restriction for this cosmological re-parameterization invariant model. Further, we obtain the off-shell nilpotent quantum BRST-anti-BRST symmetry transformations for other variables within the model using the (anti-)chiral supervariable approach (ACSA) to BRST formalism. Within the framework of ACSA, the CF-type restriction is demonstrated through two key aspects: (i) the invariance of the coupled Lagrangians under symmetry transformations, and (ii) the absolute anti-commutativity of the conserved BRST-anti-BRST charges. Notably, applying the MBTSA to a physical cosmological system, specifically a one-dimensional one, constitutes a novel contribution to this work. Additionally, in the application of ACSA, we restrict our analysis to (anti-)chiral super expansions of supervariables, leading to the unique observation of the absolute anti-commutativity of the conserved BRST-anti-BRST charges. Moreover, we highlight that the CF-type restriction demonstrates a universal nature, remaining consistent across any re-parameterization invariant models in general D-dimensional spacetime. |
| format | Article |
| id | doaj-art-4840a2e6e2044eec90907d8339386052 |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-4840a2e6e2044eec90907d83393860522025-02-06T05:11:03ZengElsevierNuclear Physics B0550-32132025-03-011012116816Re-parameterization invariance of FRW model: Supervariable and BRST approachesB. Chauhan0R. Tripathi1Corresponding author.; Department of Physics, Sunbeam Women's College Varuna, Varanasi, 221 002 (Uttar Pradesh), IndiaDepartment of Physics, Sunbeam Women's College Varuna, Varanasi, 221 002 (Uttar Pradesh), IndiaWe perform the Becchi-Rouet-Stora-Tyutin (BRST) quantization of a (0+1)-dimensional cosmological Friedmann-Robertson-Walker (FRW) model. This quantization leverages the classical infinitesimal and continuous re-parameterization symmetry transformations of the system. To derive the nilpotent re-parameterization invariant BRST-anti-BRST symmetry transformations for the scale factor and corresponding momentum variables present in the cosmological FRW model, we employ the modified Bonora-Tonin supervariable approach (MBTSA) to BRST formalism. Through this approach, we also establish the BRST-anti-BRST invariant Curci-Ferrari (CF)-type restriction for this cosmological re-parameterization invariant model. Further, we obtain the off-shell nilpotent quantum BRST-anti-BRST symmetry transformations for other variables within the model using the (anti-)chiral supervariable approach (ACSA) to BRST formalism. Within the framework of ACSA, the CF-type restriction is demonstrated through two key aspects: (i) the invariance of the coupled Lagrangians under symmetry transformations, and (ii) the absolute anti-commutativity of the conserved BRST-anti-BRST charges. Notably, applying the MBTSA to a physical cosmological system, specifically a one-dimensional one, constitutes a novel contribution to this work. Additionally, in the application of ACSA, we restrict our analysis to (anti-)chiral super expansions of supervariables, leading to the unique observation of the absolute anti-commutativity of the conserved BRST-anti-BRST charges. Moreover, we highlight that the CF-type restriction demonstrates a universal nature, remaining consistent across any re-parameterization invariant models in general D-dimensional spacetime.http://www.sciencedirect.com/science/article/pii/S0550321325000264Cosmological FRW modelRe-parameterization (i.e. diffeomorphism) invariant symmetriesBRST-anti-BRST symmetriesModified Bonora-Tonin (BT) supervariable approachCurci-Ferrari (CF)-type restriction(Anti-)chiral supervariable approach, conserved (anti-)BRST charges |
| spellingShingle | B. Chauhan R. Tripathi Re-parameterization invariance of FRW model: Supervariable and BRST approaches Nuclear Physics B Cosmological FRW model Re-parameterization (i.e. diffeomorphism) invariant symmetries BRST-anti-BRST symmetries Modified Bonora-Tonin (BT) supervariable approach Curci-Ferrari (CF)-type restriction (Anti-)chiral supervariable approach, conserved (anti-)BRST charges |
| title | Re-parameterization invariance of FRW model: Supervariable and BRST approaches |
| title_full | Re-parameterization invariance of FRW model: Supervariable and BRST approaches |
| title_fullStr | Re-parameterization invariance of FRW model: Supervariable and BRST approaches |
| title_full_unstemmed | Re-parameterization invariance of FRW model: Supervariable and BRST approaches |
| title_short | Re-parameterization invariance of FRW model: Supervariable and BRST approaches |
| title_sort | re parameterization invariance of frw model supervariable and brst approaches |
| topic | Cosmological FRW model Re-parameterization (i.e. diffeomorphism) invariant symmetries BRST-anti-BRST symmetries Modified Bonora-Tonin (BT) supervariable approach Curci-Ferrari (CF)-type restriction (Anti-)chiral supervariable approach, conserved (anti-)BRST charges |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325000264 |
| work_keys_str_mv | AT bchauhan reparameterizationinvarianceoffrwmodelsupervariableandbrstapproaches AT rtripathi reparameterizationinvarianceoffrwmodelsupervariableandbrstapproaches |