Browsing by Author "Ronaldo Thibes"

Now showing 1 - 2 of 2

A unifying framework for BRST and BRST-related symmetries
(Institute of Physics, 2023) Bhabani Prasad Mandal; Sumit Kumar Rai; Ronaldo Thibes
We propose a general framework to study BRST-related transformations. We investigate different forms of BRST and BRST-related symmetries, realized within a prototypical first-class system, including ordinary BRST, anti-BRST, dual-BRST, anti-dual-BRST and additional sets of new BRST-related symmetries. We identify a precise discrete group of symmetries of the ghost sector, responsible for connecting the various forms of BRST-related transformations. Their distinct roles in different Hamiltonian and Lagrangian approaches are clarified. As a unifying framework, we use a gauge invariant prototypical first-class system encompassing an extensive class of physical models. Copyright © 2023 The author(s)
BFV quantization and BRST symmetries of the gauge invariant fourth-order Pais-Uhlenbeck oscillator
(Elsevier B.V., 2022) Bhabani Prasad Mandal; Vipul Kumar Pandey; Ronaldo Thibes
We perform the BFV-BRST quantization of the fourth-order Pais-Uhlenbeck oscillator (PUO) for the first time. We show that although the PUO is not naturally constrained in the sense of Dirac-Bergmann, it is possible to profit from the introduction of suitable constraints in phase space in order to obtain a proper BRST invariant quantum system. Starting from its second-class constrained system description, we use the BFFT formalism to obtain first-class constraints as gauge symmetry generators. After the Abelianization of the constraints, we obtain the conserved BRST charge, the corresponding BRST transformations and proceed further to the BFV functional quantization of the model. We further construct appropriate finite field dependent BRST transformation to establish the interconnections between different BRST invariant effective theories of PUO in different gauges. Our approach sheds light on the open problem of the quantization of general higher derivative quantum field theories. © 2022 The Author(s)