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Recently it has been shown that the theory in the quadratic gauge on 4-sphere, $\mathbb{S}^{4}$ consists of two phases namely, the confined and the deconfined phases. A suitable finite field dependent BRST (FFBRST) transformation…

高能物理 - 理论 · 物理学 2024-05-01 Haresh Raval

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…

高能物理 - 理论 · 物理学 2019-08-06 Haresh Raval , Bhabani Prasad Mandal , Urjit A. Yajnik

The Becchi-Rouet-Stora and Tyutin (BRST) transformation plays a crucial role in the quantization of gauge theories. The BRST transformation is also very important tool in characterizing the various renormalizable field theoretic models. The…

高能物理 - 理论 · 物理学 2013-08-06 Sudhaker Upadhyay

Podolsky's electromagnetism which explains some of unresolved problems of usual QED has been investigated in the framework of finite field dependent (FFBRST) BRST transformation. In this generalized QED (GQED), BRST invariant effective…

高能物理 - 理论 · 物理学 2018-10-17 Krishnanand Kr. Mishra , Bhabani Prasad Mandal

We develop the finite field-dependent BRST (FFBRST) transformation for arbitrary spin-s conformal field theories. We discuss the novel features of the FFBRST transformation in these systems. To illustrate the results we consider the spin-1…

高能物理 - 理论 · 物理学 2015-04-21 Sudhaker Upadhyay , Bhabani Prasad Mandal

In this paper we analyse the ABJM theory in ${\cal N}=1$ superspace. Firstly we study the linear and non-linear BRST transformations for the ABJM theory. Then we derive the finite field dependent version of these BRST (FFBRST)…

高能物理 - 理论 · 物理学 2014-10-07 Mir Faizal , Sudhaker Upadhyay , Bhabani Prasad Mandal

The analytic structure of {\it physical} amplitudes is considered for gauge theories with confinement of excitations corresponding to the elementary fields. Confinement is defined in terms of the BRST algebra. BRST-invariant, local,…

高能物理 - 理论 · 物理学 2007-05-23 Reinhard Oehme

In this paper we analyse the Bagger-Lambert-Gustavsson (BLG) theory in $\mathcal{N} =1$ superspace. Furthermore, we will construct the BRST transformations for this theory. These BRST transformations will be integrated out to obtain the…

高能物理 - 理论 · 物理学 2015-06-12 Mir Faizal , Bhabani P Mandal , Sudhaker Upadhyay

The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

高能物理 - 理论 · 物理学 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field-antifield formalism is developed. It is based on a gauged (involving a…

高能物理 - 理论 · 物理学 2014-12-03 Alexander Reshetnyak

Finite field-dependent BRST (FFBRST) transformations were constructed by integrating infinitesimal BRST transformation in a closed form. Such a generalized transformations have been extended in various branch of physics and found many…

高能物理 - 理论 · 物理学 2016-01-05 Sudhaker Upadhyay , Bhabani Prasad Mandal

Confinement is an ubiquitous phenomenon when matter couples to gauge fields, which manifests itself in a linear string potential between two static charges. Although gauge fields can be integrated out in one dimension, they can mediate…

Most of the known models describing the fundamental interactions have a gauge freedom. In the standard path integral, it is necessary to "fix the gauge" in order to avoid integrating over unphysical degrees of freedom. Gauge independence…

高能物理 - 理论 · 物理学 2007-05-23 Andrea Fuster , Marc Henneaux , Axel Maas

In this paper we will analyse the anti-BRST symmetries of Bagger-Lambert-Gustavsson (BLG) theory in presence of a boundary. We will analyses these symmetries in both linear and non-linear gauges. We will also derive the finite field version…

高能物理 - 理论 · 物理学 2015-03-16 Mir Faizal , Sudhaker Upadhyay , Bhabani P. Mandal

In this paper we discuss the absolutely anticommuting nilpotent symmetries for perturbative quantum gravity in general curved spacetime in linear and non-linear gauges. Further, we analyze the finite field-dependent BRST (FFBRST)…

广义相对论与量子宇宙学 · 物理学 2013-11-25 Sudhaker Upadhyay

We construct the field dependent mixed BRST (combination of BRST and anti-BRST) transformations for pure gauge theories. These are shown to be an exact nilpotent symmetry of both the effective action as well as the generating functional for…

高能物理 - 理论 · 物理学 2012-07-30 Sudhaker Upadhyay , Bhabani Prasad Mandal

We investigate the gauge symmetry and gauge fixing dependence properties of the effective average action for quantum gravity models of general form. Using the background field formalism and the standard BRST-based arguments, one can…

Using the technique of finite field dependent BRST transformations we show that the classical massive Yang-Mills theory and the pure Yang-Mills theory whose gauge symmetry is broken by a gauge fixing term are identical from the view point…

高能物理 - 理论 · 物理学 2009-10-31 Rabin Banerjee , Bhabani Prasad Mandal

We generalize the usual gauge transformations connected with the 1-form gauge potential to the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the four (3+1)-dimensional (4D) topologically massive non-Abelian…

高能物理 - 理论 · 物理学 2011-04-01 R. Kumar , R. P. Malik

We consider the general gauge theory with a closed irreducible gauge algebra possessing the non-anomalous global (super)symmetry in the case when the gauge fixing procedure violates the global invariance of classical action. The theory is…

高能物理 - 理论 · 物理学 2018-08-01 I. L. Buchbinder , P. M. Lavrov
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