Finite field-dependent BRS transformations

Joglekar, Satish D.; Mandal, Bhabani Prasad

doi:10.1103/physrevd.51.1919

Cited by 99 publications

(318 citation statements)

References 6 publications

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“…Now, we may further apply second FFBRST such that ζ → ζ in the same Lorenz gauge by well known methods [6]. We may summarize this symbolically as the conversion from one theory to another,…”

Section: Connecting Two Different Regimesmentioning

confidence: 99%

“…However, since the transformation parameter is field dependent in nature, FFBRST transformation does not leave the path integral measure, Dφ invariant and produces a non-trivial Jacobian factor J . This J can further be cast as a local functional of fields, e i S J (where the S J is the action representing the Jacobian factor J ) if the following condition is met [6] …”

Section: Connecting Two Different Regimesmentioning

confidence: 99%

“…Extensions of the usual Lorenz gauge by including the next order terms quadratic in gauge fields have been studied in several contexts [1][2][3][4][5][6]. In [7,8] it was shown that a purely quadratic gauge condition without the linear terms leads to a suggestive effective lagrangian giving masses to off-diagonal gluons.…”

Section: Introductionmentioning

confidence: 99%

“…[6] by integrating infinitesimal usual BRST transformations. Such FFBRST transformations have exactly the same form as the infinitesimal ones, with the difference that the infinitesimal global anti-commuting parameter is replaced by an anti-commuting but finite parameter dependent on space time fields, but with no explicit dependence on space time coordinates.…”

Section: Introductionmentioning

confidence: 99%

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Non-perturbative to perturbative QCD via the FFBRST

Raval¹,

Mandal²

2018

Eur. Phys. J. C

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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.

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Section: Connecting Two Different Regimesmentioning

confidence: 99%

Section: Connecting Two Different Regimesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Non-perturbative to perturbative QCD via the FFBRST

Raval¹,

Mandal²

2018

Eur. Phys. J. C

Self Cite

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“…The BSRT symmetry has found dual analogue of Hodge theory [35,36]. The generalization of BRST transformation by making the transformation parameter finite and field dependent, known as FFBRST transformation [37,38], has found many interests in gauge theories [38][39][40][41][42][43][44]. For example, the FFBRST symmetry gets relevance in W -algebra of higher derivative theory [41].…”

Section: Introductionmentioning

confidence: 99%

Quantum Gauge Symmetry of Reducible Gauge Theory

Dwivedi

2017

Int J Theor Phys

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We derive the gaugeon formalism of the Kalb-Ramond field theory, a reducible gauge theory, which discusses the quantum gauge freedom. In gaugeon formalism, theory admits quantum gauge symmetry which leaves the action form-invariant. The BRST symmetric gaugeon formalism is also studied which introduces the gaugeon ghost fields and gaugeon ghosts of ghosts fields. To replace the Yokoyama subsidiary conditions by a single Kugo-Ojima type condition the virtue of BRST symmetry is utilized. Under generalized BRST transformations, we show that the gaugeon fields appear naturally in the reducible gauge theory.

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Renormalizability of supersymmetric group field cosmology

Upadhyay

2014

Gen Relativ Gravit

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In this paper we consider the gauge invariant third quantized model of supersymmetric group field cosmology. The supersymmetric BRST invariance for such theory in non-linear gauge is also analysed. The path integral formulation to the case of a multiverse made up of homogeneous and isotropic spacetimes filled with a perfect fluid is presented. The renormalizability for the scattering of universes in multiverse are established with suitably constructed master equations for connected diagrams and proper vertices. The Slavnov-Taylor identities for this theory hold to all orders of radiative corrections.

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Finite field-dependent BRS transformations

Cited by 99 publications

References 6 publications

Non-perturbative to perturbative QCD via the FFBRST

Non-perturbative to perturbative QCD via the FFBRST

Quantum Gauge Symmetry of Reducible Gauge Theory

Renormalizability of supersymmetric group field cosmology

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