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In the BRST quantization of gauge theories, the zero locus $Z_Q$ of the BRST differential $Q$ carries an (anti)bracket whose parity is opposite to that of the fundamental bracket. We show that the on-shell BFV/BV gauge symmetries are in a…

High Energy Physics - Theory · Physics 2009-10-31 M. A. Grigoriev , A. M. Semikhatov , I. Yu. Tipunin

A superspace formulation for the Batalin Vilkovisky formalism (also called field-antifield quantization ) with extended BRST invariance (BRST and anti-BRST invariance ) for gauge theories with closed algebra is presented. In contrast to a…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Sergio M. de Souza

Buchholz and Fredenhagen proved that particles in the vacuum sector of a scale invariant local quantum field theory do not scatter. More recently, Weinberg argued that conformal primary fields satisfy the wave equation if they have…

High Energy Physics - Theory · Physics 2014-03-21 Szilard Farkas

We propose a new BRST-like quantization procedure which is applicable to dynamical systems containing both first and second class constraints. It requires no explicit separation into first and second class constraints and therefore no…

High Energy Physics - Theory · Physics 2009-11-07 Igor Batalin , Simon Lyakhovich , Robert Marnelius

We study a sixth order derivative scalar field model in Minkowski spacetime as a toy model of higher-derivative critical gravity theories. This model is consistently quantized when using the Becchi-Rouet-Stora-Tyutin (BRST) quantization…

High Energy Physics - Theory · Physics 2015-06-16 Yong-Wan Kim , Yun Soo Myung , Young-Jai Park

We present an alternative quantization for irreducible open gauge theories. The method relies on the possibility of modifying the classical BRST operator and the gauge-fixing action written as in Yang-Mills type theories, in order to obtain…

High Energy Physics - Theory · Physics 2009-11-07 N. Djeghloul , M. Tahiri

An irreducible Hamiltonian BRST quantization method for reducible first-class systems is proposed. The general theory is illustrated on a two-stage reducible model, the link with the standard reducible BRST treatment being also emphasized.

High Energy Physics - Theory · Physics 2016-12-28 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

The paper is devoted to the study of BRST charge in perturbed two dimensional conformal field theory. The main goal is to write the operator equation expressing the conservation law of BRST charge in perturbed theory in terms of purely…

High Energy Physics - Theory · Physics 2008-11-26 Anton M. Zeitlin

We show that there exists a representation of a matrix valued gauge field via intrinsic "BRST" operator assigned to matrix valued generators of a gauge algebra. In this way, we reproduce the standard formulation of the ordinary Yang - Mills…

High Energy Physics - Theory · Physics 2016-08-16 Igor A. Batalin , Peter M. Lavrov

The experimental realization of increasingly complex synthetic quantum systems calls for the development of general theoretical methods, to validate and fully exploit quantum resources. Quantum-state tomography (QST) aims at reconstructing…

Disordered Systems and Neural Networks · Physics 2018-05-17 Giacomo Torlai , Guglielmo Mazzola , Juan Carrasquilla , Matthias Troyer , Roger Melko , Giuseppe Carleo

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

Podolsky's electromagnetism which explains some of unresolved problems of usual QED has been investigated in the framework of finite field dependent (FFBRST) BRST transformation. In this generalized QED (GQED), BRST invariant effective…

High Energy Physics - Theory · Physics 2018-10-17 Krishnanand Kr. Mishra , Bhabani Prasad Mandal

We propose a new general BRST approach to string and string-like theories which have a wider range of applicability than e g the conventional conformal field theory method. The method involves a simple general regularization of all basic…

High Energy Physics - Theory · Physics 2015-06-26 Stephen Hwang , Robert Marnelius , Panagiotis Saltsidis

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

We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories…

High Energy Physics - Theory · Physics 2009-03-31 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

A new vector field is introduced into 2-form Einstein gravity in four dimensions to restore a large symmetry of its topological version. Two different expressions for the BRST charge are given in the system: one of them associated with a…

High Energy Physics - Theory · Physics 2009-10-22 A. Nakamichi , T. Ueno

We develop the BRST approach for all massless integer and half-integer higher spins in 4D Minkowski space, using the two component spinor nota- tion and develop the Lagrangian formulation for supersymmetric higher spin models. It is shown…

High Energy Physics - Theory · Physics 2016-01-27 I. L. Buchbinder , K. Koutrolikos

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

The BRST generator is realized as a Hermitian nilpotent operator for a finite-dimensional gauge system featuring a quadratic super-Hamiltonian and linear supermomentum constraints. As a result, the emerging ordering for the Hamiltonian…

High Energy Physics - Theory · Physics 2009-10-30 Rafael Ferraro , Daniel M. Sforza

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