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We propose a modification of the gauge-fixing procedure in the Lagrangian method of superfield BRST quantization for general gauge theories which simultaneously provides a natural generalization of the well-known BV quantization scheme as…

High Energy Physics - Theory · Physics 2009-10-31 Bodo Geyer , Petr M. Lavrov , Pavel Yu. Moshin

The aim of this paper is to find higher order geometrical corrections to the Einstein-Hilbert action that can lead to only second order equations of motion. The metric formalism is used, and static spherically symmetric and…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Aimeric Colléaux , Sergio Zerbini

We propose a topological model of induced gravity (pregeometry) where both Newton's coupling constant and the cosmological constant appear as integration constants in solving field equations. The matter sector of a scalar field is also…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Ichiro Oda

We extend Padmanabhan's entropy functional formalism to show that, in addition to the Gauss-Bonnet or the entire series of Lanczos-Lovelock Lagrangians already obtained, more general higher-order corrections to General Relativity, i.e., the…

General Relativity and Quantum Cosmology · Physics 2015-08-17 Fayçal Hammad

Stochastic quantization is applied to derivation of equations connecting multilocal gauge-invariant correlators in different field theories. They include Abelian Higgs Model, QCD with spinless quarks at T=0 and T>0 and QED, where spin…

High Energy Physics - Theory · Physics 2015-06-26 D. V. Antonov

A modified Einstein-Gauss-Bonnet gravity in four dimensions where the quadratic Gauss-Bonnet term is coupled to a scalar field is considered. The field equations of the model are obtained by variational methods by making use of the…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Hatice Özer , Ahmet Baykal , Özgür Delice

In this letter a new gauge invariant, metric independent action is introduced from which Witten's Topological Quantum Field Theory may be obtained after gauge fixing using standard BRST techniques. In our model the BRST algebra of…

High Energy Physics - Theory · Physics 2009-10-28 R. Gianvittorio , A. Restuccia , J. Stephany

General aspects of vielbein representation, ADM formulation and canonical quantization of gravity are reviewed using pure gravity in three dimensions as a toy model. The classical part focusses on the role of observers in general…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Hans-Juergen Matschull

We present BRST gauge fixing approach to quantum mechanics in phase space. The theory is obtained by $\hbar$-deformation of the cohomological classical mechanics described by d=1, N=2 model. We use the extended phase space supplied by the…

High Energy Physics - Theory · Physics 2007-05-23 A. K. Aringazin

An irreducible antifield BRST quantization method for reducible gauge theories is proposed. The general formalism is illustrated in the case of the Freedman-Townsend model.

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , S. O. Saliu

It is outlined how deformations of field theoretical rigid symmetries can be constructed and classified by cohomological means in the extended antifield formalism. Special attention is devoted to deformations referring only to a subset of…

High Energy Physics - Theory · Physics 2015-06-26 Friedemann Brandt

It is proposed that a non-Abelian adjoint two-form in BF type theories transform inhomogeneously under the gauge group. The resulting restrictions on invariant actions are discussed. The auxiliary one-form which is required for maintaining…

High Energy Physics - Theory · Physics 2008-11-26 Amitabha Lahiri

The existing approaches to quantization of gravity aim at giving quantum description of 3-geometry following to the ideas of the Wheeler -- DeWitt geometrodynamics. In this description the role of gauge gravitational degrees of freedom is…

General Relativity and Quantum Cosmology · Physics 2012-05-31 T. P. Shestakova

In this paper we investigate the Yokoyama gaugeon formalism for perturbative quantum gravity in a general curved spacetime. Within the gaugeon formalism, we extend the configuration space by introducing vector gaugeon fields describing a…

High Energy Physics - Theory · Physics 2014-02-14 Sudhaker Upadhyay

We describe the idea of studying quantum gravity by means of dynamical triangulations and give examples of its implementation in 2, 3 and 4 space time dimensions. For $d=2$ we consider the generic hermitian 1-matrix model. We introduce the…

High Energy Physics - Theory · Physics 2007-05-23 C. F. Kristjansen

We study the 3-form gauge theory in the context of generalized BRST formulation. We construct the finite field-dependent BRST (FFBRST) symmetry for such a theory. The generating functional for 3-form gauge theory in noncovariant gauge is…

High Energy Physics - Theory · Physics 2013-04-09 Sudhaker Upadhyay , Manoj Kumar Dwivedi , Bhabani Prasad Mandal

In this paper, we propose a generalization of an improved gauge unfixing formalism in order to generate gauge symmetries in the non-Abelian valued systems. This generalization displays a proper and formal reformulation of second-class…

High Energy Physics - Theory · Physics 2022-05-20 Paulo R. F. Alves , Cleber N. Costa , D. Fiorentini , V. J. Vasquez Otoya , Everton M. C. Abreu , Jorge Ananias Neto

A novel inhomogeneous gauge transformation law is proposed for a non-Abelian adjoint two-form in four dimensions. Rules for constructing actions invariant under this are given. The auxiliary vector field which appears in some of these…

High Energy Physics - Theory · Physics 2009-11-07 Amitabha Lahiri

In this paper the quantization of the 2$+$1-dimensional gravity couplet to the massless Dirac field is carried out. The problem is solved by the application of the new Dynamic Quantization Method [1,2]. It is well-known that in general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. N. Vergeles

Searching for new non-perturbatively renormalizable quantum gravity theories, functional renormalization group (RG) flows are studied on a theory space of action functionals depending on the metric and the torsion tensor, the latter…

High Energy Physics - Theory · Physics 2016-03-23 Martin Reuter , Gregor M. Schollmeyer