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Related papers: Extended BRST quantization in general coordinates

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We discuss a recently proposed method of quantizing general non-Lagrangian gauge theories. The method can be implemented in many different ways, in particular, it can employ a conversion procedure that turns an original non-Lagrangian field…

High Energy Physics - Theory · Physics 2010-10-27 S. L. Lyakhovich , A. A. Sharapov

We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for…

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

In perturbative quantum gravity, the sum of the classical Lagrangian density, a gauge fixing term and a ghost term is invariant under two sets of supersymmetric transformations called the BRST and the anti-BRST transformations. In this…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Mir Faizal

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

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 examine a covariant quantization of electromagnetic fields by using an operator derived from a constant scalar that can be called extended Lorentz gauge. The quantization can avoid an inconsistency between Lorentz gauge and a commutation…

General Physics · Physics 2020-08-03 Masahito Morimoto

A large class of non-critical string theories with extended worldsheet gauge symmetry are described by two coupled, gauged Wess-Zumino-Witten Models. We give a detailed analysis of the gauge invariant action and in particular the gauge…

High Energy Physics - Theory · Physics 2016-08-24 Alex Deckmyn , Ruud Siebelink , Walter Troost , Alexander Sevrin

The BRST-anti-BRST covariant extension is suggested for the split involution quantization scheme for the second class constrained theories. The constraint algebra generating equations involve on equal footing a pair of BRST charges for…

High Energy Physics - Theory · Physics 2009-10-31 I. Yu. Karataeva , S. L. Lyakhovich

It is well-known that principal bundles and associated bundles underlie the geometric structure of classical gauge field theories. In this paper, we explore the reformulation of gauge theories in terms of Lie algebroids and their associated…

High Energy Physics - Theory · Physics 2021-10-04 Luca Ciambelli , Robert G. Leigh

This paper develops an enlarged BRST framework to treat the large gauge transformations of a given quantum field theory. It determines the associated infinitely many Noether charges stemming from a gauge fixed and BRST invariant Lagrangian,…

High Energy Physics - Theory · Physics 2024-10-07 Laurent Baulieu , Tom Wetzstein

A topological gauge invariant lagrangian for Seiberg-Witten monopole equations is constructed. The action is invariant under a huge class of gauge transformations which after BRST fixing leads to the BRST invariant action associated to…

High Energy Physics - Theory · Physics 2007-05-23 R. Gianvittorio , I. Martin , A. Restuccia

We present a new collective field formalism with two rather than one collective field to derive the antifield formalism for extended BRST invariant quantisation. This gives a direct and physical proof of the scheme of Batalin, Lavrov and…

High Energy Physics - Theory · Physics 2007-05-23 Frank De Jonghe

A general field-antifield BV formalism for antisymplectic first class constraints is proposed. It is as general as the corresponding symplectic BFV-BRST formulation and it is demonstrated to be consistent with a previously proposed…

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

We construct Hamiltonian dynamics of the generalized spherically symmetric gravitational model in extended phase space. We start from the Faddeev - Popov effective action with gauge-fixing and ghost terms, making use of gauge conditions in…

General Relativity and Quantum Cosmology · Physics 2014-06-13 T. P. Shestakova

This thesis describes the mathematical structures of the quantum BRST constraint method. Ultimately, the quantum BRST structures are formulated in a C*-algebraic context, leading to comparison of the quantum BRST and the Dirac constraint…

Operator Algebras · Mathematics 2009-05-25 Patrick Costello

We construct detour complexes from the BRST quantization of worldline diffeomorphism invariant systems. This yields a method to efficiently extract physical quantum field theories from particle models with first class constraint algebras.…

High Energy Physics - Theory · Physics 2009-05-12 F. Bastianelli , O. Corradini , A. Waldron

It is shown that for a large class of non-holonomic quantum mechanical systems one can make the computation of BRST charge fully algorithmic. Two computer algebra programs written in the language of {\tt REDUCE} are described. They are able…

High Energy Physics - Theory · Physics 2015-06-26 A. Burnel , H. Caprasse , A. Dresse

Among theoretical issues in General Relativity the problem of constructing its Hamiltonian formulation is still of interest. The most of attempts to quantize Gravity are based upon Dirac generalization of Hamiltonian dynamics for system…

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

The osp(1,2)-covariant Lagrangian quantization of general gauge theories is formulated which applies also to massive fields. The formalism generalizes the Sp(2)-covariant BLT approach and guarantees symplectic invariance of the quantized…

High Energy Physics - Theory · Physics 2007-05-23 B. Geyer , P. M. Lavrov , D. Mülsch

We analyze higher gauge theories in various dimensions using a supergeometric method based on a differential graded symplectic manifold, called a QP-manifold, which is closely related to the BRST-BV formalism in gauge theories. Extensions…

High Energy Physics - Theory · Physics 2016-08-24 Ursula Carow-Watamura , Marc Andre Heller , Noriaki Ikeda , Yukio Kaneko , Satoshi Watamura