2017/12/31 by B. Chauhan, S. Kumar, R. P. Malik
Physics and Astronomy 路 #BRST quantization #Black Holes and Theoretical Physics #Gauge theory #Introduction to gauge theory #Invariant (physics) #Nilpotent #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #Supercharge #Supermanifold #Supersymmetric gauge theory #Supersymmetry #hep-th
paper 路 pdf 路 doi:10.1142/s0217751x19501318
published as Int. J. Mod. Phys. A 34: 1950131 (2019) 路 LaTeX file, 27 pages, journal version
openalex created_date 2019/08/13 路 openalex publication_date 2019/08/22 路 arxiv created 2019/10/21 路 arxiv updated 2019/10/30 路 openalex updated_date 2026/08/05
We exploit the power and potential of the (anti-)chiral superfield approach (ACSA) to Becchi鈥揜ouet鈥揝tora鈥揟yutin (BRST) formalism to derive the nilpotent (anti-)BRST symmetry transformations for any arbitrary [Formula: see text]-dimensional interacting non-Abelian 1-form gauge theory where there is an [Formula: see text] gauge invariant coupling between the gauge field and the Dirac fields. We derive the conserved and nilpotent (anti-)BRST charges and establish their nilpotency and absolute anticommutativity properties within the framework of ACSA to BRST formalism. The clinching proof of the absolute anticommutativity property of the conserved and nilpotent (anti-)BRST charges is a novel result in view of the fact that we consider, in our endeavor, only the (anti-)chiral super expansions of the superfields that are defined on the [Formula: see text]-dimensional super-submanifolds of the general [Formula: see text]-dimensional supermanifold on which our [Formula: see text]-dimensional ordinary interacting non-Abelian 1-form gauge theory is generalized. To corroborate the novelty of the above result, we apply the ACSA to an [Formula: see text] supersymmetric (SUSY) quantum mechanical (QM) model of a harmonic oscillator and show that the nilpotent and conserved [Formula: see text] supercharges of this system do not absolutely anticommute.