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Related papers: Extended BRST symmetries. Quantum approach

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Quantization of systems with constraints can be carried on with several methods. In the Dirac formulation the classical generators of gauge transformations are required to annihilate physical quantum states to ensure their gauge invariance.…

General Relativity and Quantum Cosmology · Physics 2014-09-09 M. Castellana , G. Montani

In the presence of consistent regulators, the standard procedure of BRST gauge fixing (or moving from one gauge to another) can require non-trivial modifications. These modifications occur at the quantum level, and gauges exist which are…

High Energy Physics - Theory · Physics 2009-10-28 P. H. Damgaard , F. De Jonghe , R. Sollacher

BRST quantization of the one-dimensional constrained matrix model which describes two-dimensional Yang-Mills theory on the cylinder is performed. Classical and quantum BRST generators and BRST-invariant hamiltonians are constructed.…

High Energy Physics - Theory · Physics 2008-11-26 Pavel Buividovich

The quantization of classical theories that admit more than one Hamiltonian description is considered. This is done from a geometrical viewpoint, both at the quantization level (geometric quantization) and at the level of the dynamics of…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Alejandro Corichi , Michael P. Ryan,

There is an elaborated abstract form of BRST quantization on inner product spaces within the operator formalism which leads to BRST invariant states of the form |ph>=e^{[Q,\psi]} |\phi> where \psi is a gauge fixing fermion, and where |\phi>…

High Energy Physics - Theory · Physics 2009-10-31 Robert Marnelius , Niclas Sandstrom

The Hamiltonian BRST quantization of the null spinning string for different number of supersymmetries is given. A null spinning string with manifest space-time conformal invariance is constructed. Its Brst quantization gives negative…

High Energy Physics - Theory · Physics 2009-10-28 P. Saltsidis

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for a supersymmetric system of a free spinning relativistic particle within the framework of superfield…

High Energy Physics - Theory · Physics 2012-12-19 A. Shukla , S. Krishna , R. P. Malik

In this short letter, we rediscuss the model for non-commutative U(1) gauge theory presented in [arXiv:0912.2634] and argue that by treating the "soft-breaking terms" of that model in the realm of an extended BRST symmetry, a future…

High Energy Physics - Theory · Physics 2011-04-05 Daniel N. Blaschke , Thomas Garschall , Franz Heindl , Manfred Schweda , Michael Wohlgenannt

It is shown how the BRST quantization can be applied to a gauge invariant sector of theories with anomalously broken symmetries. This result is used to show that shifting the anomalies to a classically trivial sector of fields (Wess-Zumino…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga

It is shown that the quantum master equation of the Field Antifield quantization method at one loop order can be translated into the requirement of a superfield structure for the action. The Pauli Villars regularization is implemented in…

High Energy Physics - Theory · Physics 2008-11-26 Everton M. C. Abreu , Nelson R. F. Braga

The finite field dependent BRST (FFBRST) technique generally interrelates two different gauge fixed theories. Here we propose a new and unique FFBRST transformation that transforms the effective theory in Lorenz gauge, which represents…

High Energy Physics - Theory · Physics 2022-06-13 Haresh Raval , Bhabani Prasad Mandal

The quantum Hamiltonian reduction on the OSp(1,2) super Kac-Moody algebra is described in the BRST formalism. Using a free field representation of the KM currents, the super Kac-Moody algebra is shown to be reduced to a superconformal one…

High Energy Physics - Theory · Physics 2009-10-22 T. Kuramoto

In this work, we investigate the BRST quantization of the massive $\mathcal{N}=4$ supersymmetric spinning particle, with a twofold purpose: exploring different approaches to give mass to spinning particle models and formulating a…

High Energy Physics - Theory · Physics 2024-02-22 Filippo Fecit

The present article is primarily a review of the projection-operator approach to quantize systems with constraints. We study the quantization of systems with general first- and second-class constraints from the point of view of…

High Energy Physics - Theory · Physics 2007-05-23 John R. Klauder

We describe the procedure of dimensional reduction of massless fields in $(D+1)$ dimensional Minkowski space to massive ones in $D$ dimensions in the first-quantized setting. The procedure is compatible with Lagrangian and in a…

High Energy Physics - Theory · Physics 2020-02-21 Alexander Chekmenev

We propose a general method for deformation quantization of any second-class constrained system on a symplectic manifold. The constraints determining an arbitrary constraint surface are in general defined only locally and can be components…

High Energy Physics - Theory · Physics 2009-11-11 Igor Batalin , Maxim Grigoriev , Simon Lyakhovich

The local, covariant, continuous, anticommuting and nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for all the fields of a (0 + 1)-dimensional spinning relativistic particle are obtained in the framework…

High Energy Physics - Theory · Physics 2009-01-07 R. P. Malik

Several examples of similarity transformations connecting two string theories with different backgrounds are reviewed. We also discuss general structure behind the similarity transformations from the point of view of the topological…

High Energy Physics - Theory · Physics 2026-02-26 Mitsuhiro Kato

A new local, covariant and nilpotent symmetry is shown to exist for the interacting BRST invariant U(1) gauge theory in two dimensions of space-time. Under this new symmetry, it is the gauge-fixing term that remains invariant and the…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

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
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