Browsing by Author "Haresh Raval"

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BRST symmetry as a mechanism for confinement in the inter gauge framework
(Elsevier B.V., 2022) Haresh Raval; Bhabani Prasad Mandal
The finite field dependent BRST (FFBRST) technique generally interrelates two different gauge fixed theories. Here we propose a new and unique FFBRST transformation that transforms the effective theory in Lorenz gauge, which represents perturbative or deconfined phase of QCD to massive gauge theory. The exercise serves two purposes. First is of course that it is a distinct connection where one of the theories is not gauge fixed and BRST invariant therefore, it is expected to give newer insights into FFBRST technique itself. Second is that a particular case of this transformation holds a novel physical significance of acting as general mechanism for confinement across two different gauge theories. Thus, the present task identifies a profound non-perturbative implication of the BRST symmetry in a general setting. © 2022
Deconfinement to confinement as PT phase transition
(Elsevier B.V., 2019) Haresh Raval; Bhabani Prasad Mandal
We consider SU(N) QCD in a new quadratic gauge which highlights certain characteristic of the theory in the non-perturbative sector. By considering natural hermiticity property of the ghost fields we cast this model as non-Hermitian but symmetric under combined Parity (P) and Time reversal (T) transformations. We explicitly study the PT phase transition in this model. This is very first such study in the non-Hermitian gauge theory. The ghost fields condensate which give rise to spontaneous breaking of PT symmetry. This leads to realize the transition from deconfined phase to confined phase as a PT phase transition in this system. The hidden C-symmetry in this system is identified as inner automorphism in this theory. Explicit representation is constructed for the C-symmetry. © 2019 The Authors
Deconfinement to Confinement as PT Phase Transition
(Springer Science and Business Media Deutschland GmbH, 2021) Haresh Raval; Bhabani Prasad Mandal
We consider SU(N) QCD in a new quadratic gauge which highlights a certain characteristic of the theory in the non-perturbative sector. By considering the natural hermiticity property of the ghost fields, we cast this model as non-Hermitian but symmetric under combined Parity (P) and Time reversal (T) transformations. We explicitly study the PT phase transition in this model. This is the very first such study in the non-Hermitian gauge theory. The ghost fields condensate which give rise to spontaneous breaking of PT symmetry. This leads to realize the transition from deconfined phase to confined phase as a PT phase transition in this system. The hidden C-symmetry in this system is identified as inner automorphism in this theory. Explicit representation is constructed for the C-symmetry. © 2021, Springer Nature Singapore Pte Ltd.
Equivalence of two solutions of physical massive gravity
(World Scientific Publishing Co. Pte Ltd, 2019) Haresh Raval; Krishnanand Kr. Mishra; Bhabani Prasad Mandal
We study some aspects of linearized gravity as gauge theory, with massive deformation. Recently, it has been shown that there are two distinct solutions, which represent physical massive gravity. The purpose of the present work is to show that these two seemingly discrete solutions are equivalent at the level of generating functional. The significance of this simple work lies in the fact that one solution represents physical massive gravity at Fierz-Pauli (FP) point and the other outside the FP point. © 2019 World Scientific Publishing Company.
Non-perturbative to perturbative QCD via the FFBRST
(Springer New York LLC, 2018) Haresh Raval; Bhabani Prasad Mandal
Recently a new type of quadratic gauge was introduced in QCD in which the degrees of freedom are suggestive of a phase of abelian dominance. In its simplest form it is also free of Gribov ambiguity. However this gauge is not suitable for usual perturbation theory. The finite field dependent BRST (FFBRST) transformation is a method established to interrelate generating functionals for different effective versions of gauge fixed field theories. In this paper we propose a FFBRST transformation suitable for transforming the theory in the new quadratic gauge into the standard Lorenz gauge Faddeev–Popov version of the effective lagrangian. The task is made interesting by the fact that the effective lagrangian is invariant under two different BRST transformations which leads to suitable extension of the previous procedures to accomplish the required result. We are thus able to identify a field redefinition to go from a non-perturbative phase of QCD to perturbative QCD. © 2018, The Author(s).