Generalized BRST symmetry for arbitrary spin conformal field theory

Upadhyay, Sudhaker; Mandal, Bhabani Prasad

doi:10.1016/j.physletb.2015.03.066

Cited by 26 publications

(20 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Group index a is summed over. This FFBRST transformation is particularly different among others [15][16][17][18][19][20][21][22][23][24][25][26][27][28] due to the unique form of transformations (11) and by the fact that the field dependent parameter in Eq. (18) (18), under which the measure changes…”

Section: Connecting Two Different Regimesmentioning

confidence: 95%

“…They are thus capable of connecting generating functionals of two different BRST invariant theories and have been used to study different gauge field theoretic models with various effective actions [15][16][17][18][19][20][21][22][23][24][25][26][27][28]. In this paper we construct an appropriate FFBRST transformation to establish the connection at the level of generating functionals between the recently introduced quadratic gauge with substantial implications in the non-perturbative QCD [7][8][9] and the familiar Lorenz gauge which is suitable to describe the perturbative QCD.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non-perturbative to perturbative QCD via the FFBRST

Raval¹,

Mandal²

2018

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Connecting Two Different Regimesmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Non-perturbative to perturbative QCD via the FFBRST

Raval¹,

Mandal²

2018

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…The corresponding compensation equation, providing (37) and its solution for the given interaction (31), with bosonic potential…”

Section: Generating the Interaction Termsmentioning

confidence: 99%

Comments on interactions in the SUSY models

2016

Self Cite

View full text Add to dashboard Cite

We consider special supersymmetry (SUSY) transformations with m generators ← − s α , for some class of models and study the physical consequences when making the Grassmann-odd transformations to form an Abelian supergroup with finite parameters and a set of group-like elements with finite parameters being functionals of the field variables. The SUSY-invariant path integral measure within conventional quantization scheme leads to the appearance of the Jacobian under a change of variables generated by such SUSY transformations, which is explicitly calculated. The Jacobian implies, first of all, the appearance of trivial interactions in the transformed action, and, second, the presence of a modified Ward identity which reduces to the standard Ward identities in the case of constant parameters. We examine the case of the N = 1 and N = 2 supersymmetric harmonic oscillators to illustrate the general concept by a simple free model with (1, 1) physical degrees of freedom. It is shown that the interaction terms U tr have a corresponding SUSYexact form:← − s ← − s generated naturally under such generalized formulation. We argue that the case of a non-trivial interaction cannot be obtained in such a way.

show abstract

“…[22]. Over the period it has found various applications in field theory [23][24][25][26][27][28][29][30][31][32][33]. In a recent interesting work, the FFBRST technique itself has been extended to include connection of the theory with two different gauge fixings with a theory having only Lorenz gauge fixing [34].…”

Section: Introductionmentioning

confidence: 99%

Equivalence of two solutions of physical massive gravity

Raval

Mishra

Mandal

2019

Int. J. Mod. Phys. A

Self Cite

View full text Add to dashboard Cite

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 represent physical massive gravity at Fierz-Pauli (FP) point and other outside the FP point.

show abstract

Generalized BRST symmetry for arbitrary spin conformal field theory

Cited by 26 publications

References 44 publications

Non-perturbative to perturbative QCD via the FFBRST

Non-perturbative to perturbative QCD via the FFBRST

Comments on interactions in the SUSY models

Equivalence of two solutions of physical massive gravity

Contact Info

Product

Resources

About