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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Autores principales:	A. Tripathi, B. Chauhan, A. K. Rao, R. P. Malik
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/b78a4d7849f14e7594f39a6748800170
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spelling	oai:doaj.org-article:b78a4d7849f14e7594f39a67488001702021-11-22T01:10:37ZReparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches1687-736510.1155/2021/2056629https://doaj.org/article/b78a4d7849f14e7594f39a67488001702021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/2056629https://doaj.org/toc/1687-7365We 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.A. TripathiB. ChauhanA. K. RaoR. P. MalikHindawi LimitedarticlePhysicsQC1-999ENAdvances in High Energy Physics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 A. Tripathi B. Chauhan A. K. Rao R. P. Malik Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches
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
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
title	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_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_sort	reparameterization invariant model of a supersymmetric system: brst and supervariable approaches
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/b78a4d7849f14e7594f39a6748800170
work_keys_str_mv	AT atripathi reparameterizationinvariantmodelofasupersymmetricsystembrstandsupervariableapproaches AT bchauhan reparameterizationinvariantmodelofasupersymmetricsystembrstandsupervariableapproaches AT akrao reparameterizationinvariantmodelofasupersymmetricsystembrstandsupervariableapproaches AT rpmalik reparameterizationinvariantmodelofasupersymmetricsystembrstandsupervariableapproaches
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Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches

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