2018/04/30 by S. Kumar, S. KUMAR, B. Chauhan +1
Physics and Astronomy · #BRST quantization #Conserved quantity #Homogeneous space #Invariant (physics) #Nilpotent #Nuclear physics research studies #Poisson bracket #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #Relativistic particle #hep-th
paper · pdf · doi:10.1142/s0217751x18501336
published as Int. J. Mod. Phys. A 33: 1850133 (34 pages), 2018 · LaTeX file, 32 pages, journal version
openalex created_date 2018/08/03 · openalex publication_date 2018/08/08 · arxiv created 2018/08/23 · arxiv updated 2018/08/24 · openalex updated_date 2026/08/05
We exploit the potential and power of the Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST invariant restrictions on the (anti-)chiral supervariables to derive the proper nilpotent (anti-)BRST symmetries for the reparametrization invariant one (0[Formula: see text]+[Formula: see text]1)-dimensional (1D) toy models of a free relativistic particle as well as a free spinning (i.e. supersymmetric) relativistic particle within the framework of (anti-)chiral supervariable approach to BRST formalism. Despite the (anti-)chiral super expansions of the (anti-)chiral supervariables, we observe that the (anti-)BRST charges, for the above toy models, turn out to be absolutely anticommuting in nature. This is one of the novel observations of our present endeavor. For this proof, we utilize the beauty and strength of Curci–Ferrari (CF)-type restriction in the context of a spinning relativistic particle but no such restriction is required in the case of a free scalar relativistic particle. We have also captured the nilpotency property of the conserved charges as well as the (anti-)BRST invariance of the appropriate Lagrangian(s) of our present toy models within the framework of (anti-)chiral supervariable approach.