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Related papers: BRST Gauge Fixing and Regularization

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Spin-5/2 gauge fields are quantized in an irreducible way within both the BRST and BRST-anti-BRST manners. To this end, we transform the reducible generating set into an irreducible one, such that the physical observables corresponding to…

High Energy Physics - Theory · Physics 2009-10-31 C. Bizdadea , S. O. Saliu , E. N. Tîmneanu

The quantization of spontaneously broken gauge theories in noncommutative geometry(NCG) has been sought for some time, because quantization is crucial for making the NCG approach a reliable and physically acceptable theory. Lee, Hwang and…

High Energy Physics - Theory · Physics 2014-11-18 Yoshitaka Okumura

We apply the Batalin-Fradkin-Tyutin (BFT) method to the SU(2) Skyrmion to study the full symmetry structure of the model at the first class Hamiltonian level. On the other hand, we also analyze the symmetry structure of the action having…

High Energy Physics - Phenomenology · Physics 2009-10-31 Soon-Tae Hong , Yong-Wan Kim , Young-Jai Park

By undertaking additional analyses postponed in a previous paper, we complete our construction of a manifestly supersymmetric gauge-covariant regularization of supersymmetric chiral gauge theories. We present the following: An evaluation of…

High Energy Physics - Theory · Physics 2009-10-31 Takuya Hayashi , Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki

The constrained Hamiltonian formalism is worked out for the theories where the gauge symmetry parameters are unfree, being restricted by differential equations. The Hamiltonian BFV-BRST embedding is elaborated for this class of gauge…

High Energy Physics - Theory · Physics 2020-01-15 V. A. Abakumova , I. Yu. Karataeva , S. L. Lyakhovich

We consider BRST-invariant inner product states for quantum electrodynamics constructed from trivial BRST-invariant states and a gauge regulator. The trivial states are products of matter and ghost states and are annihilated by hermitian…

High Energy Physics - Theory · Physics 2009-10-28 Géza Fülöp

A new approach with BRST invariance is suggested to cure the degeneracy problem of ill defined path integrals in the path-integral calculationof quantum mechanical tunneling effects in which the problem arises due to the occurrence of zero…

High Energy Physics - Theory · Physics 2009-10-28 Jian-Ge Zhou , F. Zimmerschied , J. -Q. Liang , H. J. W. Mueller-Kirsten

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

Gauge-invariant systems of a general form with higher order derivatives of gauge parameters are investigated within the framework of the BFV formalism. Higher order terms of the BRST charge and BRST-invariant Hamiltonian are obtained. It is…

High Energy Physics - Theory · Physics 2009-10-30 Khazret S. Nirov

We newly apply the improved Batalin-Fradkin-Tyutin(BFT) Hamiltonian method to the O(3) nonlinear sigma model, and directly obtain the compact form of nontrivial first class Hamiltonian by introducing the BFT physical fields. Furthermore,…

High Energy Physics - Theory · Physics 2009-10-31 Soon-Tae Hong , Won Tae Kim , Young-Jai Park

By means of a generalized quartet mechanism we show in a model independent way that a BRST quantization on an inner product space leads to physical states of the form |ph>=e^{[Q, \psi]} |ph>_0 where Q is the nilpotent BRST operator, \psi a…

High Energy Physics - Theory · Physics 2019-08-17 Igor Batalin , Robert Marnelius

We present an analysis on the BRST symmetry transformations of the Horava theory under the BFV quantization, both in the nonprojectable and projectable cases. We obtain that the BRST transformations are intimately related to a particular…

High Energy Physics - Theory · Physics 2023-03-13 Jorge Bellorin , Claudio Borquez , Byron Droguett

Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge…

High Energy Physics - Theory · Physics 2018-08-01 Andrei O. Barvinsky , Diego Blas , Mario Herrero-Valea , Sergey M. Sibiryakov , Christian F. Steinwachs

The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

High Energy Physics - Theory · Physics 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

We describe gauge-fixing at the level of virtual paths in the path integral as a non-symplectic BRST-type of flow on the path phase space. As a consequence a gauge-fixed, non-local symplectic structure arises. Restoring of locality is…

High Energy Physics - Theory · Physics 2009-10-30 K. Bering

We give a formal proof of the equivalence of Hamiltonian and Lagrangian BRST quantization. This is done for a generic $Sp(2)$-symmetric theory using flat (Darboux) coordinates. A new quantum master equation is derived in a Hamiltonian…

High Energy Physics - Theory · Physics 2015-06-26 K. Bering

We study the groups of local BRST cohomology associated to the general systems of ordinary differential equations, not necessarily Lagrangian or Hamiltonian. Starting with the involutive normal form of the equations, we explicitly compute…

Mathematical Physics · Physics 2015-06-05 D. S. Kaparulin , S. L. Lyakhovich , A. A. Sharapov

In the BRST-BFV scheme for noncommutative D-branes with constant NS $B$-field, introducing ghost degrees of freedom we construct the gauge fixed Hamiltonian and corresponding effective Lagrangian invariant under nilpotent BRST charge. It is…

High Energy Physics - Theory · Physics 2007-05-23 Soon-Tae Hong

The anti-BRST transformation, in its Sp(2)-symmetric version, for the general case of any stage-reducible gauge theories is implemented in the usual BV approach. This task is accomplished not by duplicating the gauge symmetries but rather…

High Energy Physics - Theory · Physics 2014-11-18 Liviu Tatar , Radu Tatar

Unimodular gravity (UG) is an important theory which may explain the smallness of the cosmological constant. To get insight into the covariant quantization of UG, we discuss the BRST quantization of General Relativity (GR) with a…

High Energy Physics - Theory · Physics 2022-01-05 Taichiro Kugo , Ryuichi Nakayama , Nobuyoshi Ohta