Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches
Joint Authors
Malik, R. P.
Chauhan, B.
Tripathi, A.
Rao, A. K.
Source
Advances in High Energy Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-17
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We discuss the continuous and infinitesimal gauge, supergauge, reparameterization, nilpotent Becchi-Rouet-Stora-Tyutin (BRST), and anti-BRST symmetries and derive corresponding nilpotent charges for the one 0+1-dimensional (1D) massive model of a spinning relativistic particle.
We exploit the theoretical potential and power of the BRST and supervariable approaches to derive the (anti-)BRST symmetries and coupled (but equivalent) Lagrangians for this system.
In particular, we capture the off-shell nilpotency and absolute anticommutativity of the conserved (anti-)BRST charges within the framework of the newly proposed (anti-)chiral supervariable approach (ACSA) to BRST formalism where only the (anti-)chiral supervariables (and their suitable super expansions) are taken into account along the Grassmannian direction(s).
One of the novel observations of our present investigation is the derivation of the Curci-Ferrari- (CF-) type restriction by the requirement of the absolute anticommutativity of the (anti-)BRST charges in the ordinary space.
We obtain the same restriction within the framework of ACSA to BRST formalism by (i) the symmetry invariance of the coupled Lagrangians and (ii) the proof of the absolute anticommutativity of the conserved and nilpotent (anti-)BRST charges.
The observation of the anticommutativity property of the (anti-)BRST charges is a novel result in view of the fact that we have taken into account only the (anti-)chiral super expansions.
American Psychological Association (APA)
Tripathi, A.& Chauhan, B.& Rao, A. K.& Malik, R. P.. 2020. Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches. Advances in High Energy Physics،Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1126507
Modern Language Association (MLA)
Tripathi, A.…[et al.]. Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches. Advances in High Energy Physics No. 2020 (2020), pp.1-25.
https://search.emarefa.net/detail/BIM-1126507
American Medical Association (AMA)
Tripathi, A.& Chauhan, B.& Rao, A. K.& Malik, R. P.. Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches. Advances in High Energy Physics. 2020. Vol. 2020, no. 2020, pp.1-25.
https://search.emarefa.net/detail/BIM-1126507
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1126507