Finite nilpotent symmetry in Batalin-Vilkovisky formalism

Mandal, Bhabani Prasad; Kumar, Sumit; Upadhyay, Sudhaker

doi:10.1209/0295-5075/92/21001

Cited by 46 publications

(49 citation statements)

References 45 publications

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“…[52][53][54][55]. Such a method is usually implemented for the quantization of gauge field theories and topological field theories in Lagrangian formulation [56][57][58]. Nevertheless also a corresponding Hamiltonian formulation is available [59,60].…”

Section: Discussion and Comparisons With Literaturementioning

confidence: 99%

Hamiltonian approach to GR – Part 2: covariant theory of quantum gravity

2017

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A non-perturbative quantum field theory of General Relativity is presented which leads to a new realization of the theory of covariant quantum gravity (CQG-theory). The treatment is founded on the recently identified Hamiltonian structure associated with the classical space-time, i.e., the corresponding manifestly covariant Hamilton equations and the related Hamilton-Jacobi theory. The quantum Hamiltonian operator and the CQG-wave equation for the corresponding CQG-state and wave function are realized in 4-scalar form. The new quantum wave equation is shown to be equivalent to a set of quantum hydrodynamic equations which warrant the consistency with the classical GR Hamilton-Jacobi equation in the semiclassical limit. A perturbative approximation scheme is developed, which permits the adoption of the harmonic oscillator approximation for the treatment of the Hamiltonian potential. As an application of the theory, the stationary vacuum CQG-wave equation is studied, yielding a stationary equation for the CQG-state in terms of the 4-scalar invariant-energy eigenvalue associated with the corresponding approximate quantum Hamiltonian operator. The conditions for the existence of a discrete invariant-energy spectrum are pointed out. This yields a possible estimate for the graviton mass together with a new interpretation about the quantum origin of the cosmological constant.

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Section: Discussion and Comparisons With Literaturementioning

confidence: 99%

Hamiltonian approach to GR – Part 2: covariant theory of quantum gravity

2017

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“…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%

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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“…The BV formulation (independently introduced by Zinn-Justin [21]) extends the BRST approach [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. In fact, the BRST symmetry [37,38] is a very important symmetry for gauge theories [26,[39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54]. Besides the covariant description to perform the gauge-fixing in quantum field theory, BV formulation was also applied to other problems like analysing possible deformations of the action and anomalies.…”

Section: Introductionmentioning

confidence: 99%

The Quantum Description of BF Model in Superspace

Dwivedi

2018

Advances in High Energy Physics

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We consider the BRST symmetric four-dimensional BF theory, a topological theory, containing antisymmetric tensor fields in Landau gauge and extend the BRST symmetry by introducing a shift symmetry to it. Within this formulation, the antighost fields corresponding to shift symmetry coincide with antifields of standard field/antifield formulation. Furthermore, we provide a superspace description for the BF model possessing extended BRST and extended anti-BRST transformations.

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Finite nilpotent symmetry in Batalin-Vilkovisky formalism

Cited by 46 publications

References 45 publications

Hamiltonian approach to GR – Part 2: covariant theory of quantum gravity

Hamiltonian approach to GR – Part 2: covariant theory of quantum gravity

Non-perturbative to perturbative QCD via the FFBRST

The Quantum Description of BF Model in Superspace

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