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Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space which can describe…

Mathematical Physics · Physics 2012-03-13 C. Wiesendanger

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…

High Energy Physics - Theory · Physics 2012-07-30 Sudhaker Upadhyay , Bhabani Prasad Mandal

The metric-affine gauge theory of gravity provides a broad framework in which gauge theories of gravity can be formulated. In this article we fit metric-affine gravity into the covariant BRST--antifield formalism in order to obtain gauge…

High Energy Physics - Theory · Physics 2009-10-30 Frank Gronwald

We provide a generalization of the horizontality condition of the usual superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism to obtain the nilpotent (anti-)BRST symmetry transformations for all the fields of a four (3 +…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

Renormalized gauge-invariant observables in gauge theories form an algebra which is obtained as the cohomology of the derivation $[\textbf{Q}_L, -]$ with $\textbf{Q}_L$ the renormalized interacting quantum BRST charge. For a large class of…

High Energy Physics - Theory · Physics 2018-08-14 Mojtaba Taslimi Tehrani

By proceeding with the idea that the presence of physical (BRST invariant) extra factors in the path integral is equivalent to taking into account explicitly the arbitrariness in resolving the quantum master equation, we consider the…

High Energy Physics - Theory · Physics 2017-03-24 Igor A. Batalin , Peter M. Lavrov

The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the ghost sector are taken into account by using the…

High Energy Physics - Theory · Physics 2009-11-11 Ben Craps , Kostas Skenderis

A previously proposed generalized BRST quantization on inner product spaces for second class constraints is further developed through applications. This BRST method involves a conserved generalized BRST charge Q which is not nilpotent but…

High Energy Physics - Theory · Physics 2009-10-30 Robert Marnelius , Ikuo S. Sogami

In the Batalin - Fradkin - Vilkovisky approach to quantization of gauge theories a principal role is given to the BRST charge which can be constructed as a series in Grassmannian (ghost) variables with coefficients given by generalized…

General Relativity and Quantum Cosmology · Physics 2015-04-09 T. P. Shestakova

In this paper the novel features of Yokoyama gaugeon formalism are stressed out for the theory of perturbative quantum gravity in Einstein curved spacetime. The quantum gauge transformations for the theory of perturbative gravity are…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Sudhaker Upadhyay

Reducible constrained Hamiltonian systems are quantized accordingly an irreducible BRST manner. Our procedure is based on the construction of an irreducible theory which is physically equivalent with the original one. The equivalence…

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

To avoid the problems which are connected with the long distance behavior of perturbative gauge theories we present a local construction of the observables which does not involve the adiabatic limit. First we construct the interacting…

High Energy Physics - Theory · Physics 2010-12-13 M. Duetsch , K. Fredenhagen

It is argued that the massive non-Abelian gauge field theory without involving Higgs bosons may be well established on the basis of gauge-invariance principle because the dynamics of the field is gauge-invariant in the physical space…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

We scrutinize the many known forms of BRST symmetries, as well as some new ones, realized within a prototypical first-class system. Similarities and differences among ordinary BRST, anti-BRST, dual-BRST and anti-dual-BRST symmetries are…

High Energy Physics - Theory · Physics 2022-10-28 Bhabani Prasad Mandal , Sumit Kumar Rai , Ronaldo Thibes

The paper provides a framework for a systematic analysis of the local BRST cohomology in a large class of gauge theories. The approach is based on the cohomology of s+d in the jet space of fields and antifields, s and d being the BRST…

High Energy Physics - Theory · Physics 2009-10-30 Friedemann Brandt

The path integral of a gauge theory is studied in Coulomb-like gauges. The Christ-Lee terms of operator ordering are reproduced {\it{within}} the path integration framework. In the presence of fermions, a new operator term, in addition to…

High Energy Physics - Theory · Physics 2009-10-31 Hai-cang Ren

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

A new generalization of the vector Schwinger model is considered where gauge symmetry is broken at the quantum mechanical level. By proper extension of the phase space this broken symmetry has been restored. Also an equivalent first class…

High Energy Physics - Theory · Physics 2007-05-23 Anisur Rahaman

The generalized version of a lower dimensional model where vector and axial vector interaction get mixed up with different weight is considered. The bosonized version of which does not posses the local gauge symmetry. An attempt has been…

High Energy Physics - Theory · Physics 2016-11-22 Anisur Rahaman , Safia Yasmin

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