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The BRST quantization of a gauge theory in noncommutative geometry is carried out in the ``matrix derivative" approach. BRST/anti-BRST transformation rules are obtained by applying the horizontality condition, in the superconnection…

高能物理 - 理论 · 物理学 2009-10-28 Chang-Yeong Lee , Dae Sung Hwang , Yuval Ne'eman

We introduce and study a new discrete basis of gravity constraints by making use of harmonic expansion for closed cosmological models. The full set of constraints is splitted into area-preserving spatial diffeomorphisms, forming closed…

高能物理 - 理论 · 物理学 2009-10-30 A. Yu. Kamenshchik , S. L. Lyakhovich

By parametrizing the action integral for the standard Schrodinger equation we present a derivation of the recently proposed method for quantizing a parametrized theory. The reformulation suggests a natural extension from conventional to…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Charles H-T Wang , Smaragda Kessari , Edward R Irvine

Exploring the analogy between quantum mechanics and statistical mechanics we formulate an integrated version of the Quantropy functional [1]. With this prescription we compute the propagator associated to Boltzmann-Gibbs statistics in the…

We carry out the canonical quantization of the electromagnetic field in arbitrary $\xi$-gauge and compute its propagator. In this way we fill a gap in the literature and clarify some existing confusion about Feynman $i\epsilon$ prescription…

高能物理 - 理论 · 物理学 2022-12-01 Fernando Falceto

We study systematically finite BRST- BV transformations in the field-antifield formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite…

高能物理 - 理论 · 物理学 2015-06-19 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

For free-field theories associated with BRST first-quantized gauge systems, we identify generalized auxiliary fields and pure gauge variables already at the first-quantized level as the fields associated with algebraically contractible…

高能物理 - 理论 · 物理学 2009-11-10 Glenn Barnich , Maxim Grigoriev , Alexei Semikhatov , Ilya Tipunin

We provide a systematic BRST formalism for the soft-collinear effective theory describing interactions of soft and collinear degrees of freedom in the presence of a hard interaction. In particular, we develop full BRST symmetry…

高能物理 - 理论 · 物理学 2021-07-28 Sudhaker Upadhyay , Bhabani Prasad Mandal

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>…

高能物理 - 理论 · 物理学 2009-10-31 Robert Marnelius , Niclas Sandstrom

Starting from the requirement that a Lagrangian field theory be invariant under both Schwinger-Dyson BRST and Schwinger-Dyson anti-BRST symmetry, we derive the BRST--anti-BRST analogue of the Batalin-Vilkovisky formalism. This is done…

高能物理 - 理论 · 物理学 2009-10-22 P. H. Damgaard , F. De Jonghe

We discuss the formulation of spin observables associated to a non-relativistic spinning particles in terms of grassmanian differential operators. We use as configuration space variables for the pseudo-classical description of this system…

高能物理 - 理论 · 物理学 2007-05-23 J. A. Lopez , J. Stephany

A new type of quantum master equation is presented which is expressed in terms of a recently introduced quantum antibracket. The equation involves only two operators: an extended nilpotent BFV-BRST charge and an extended ghost charge. It is…

高能物理 - 理论 · 物理学 2019-08-17 Igor Batalin , Robert Marnelius

In a way analogous to type IIB supergravity, we give a covariant action for the fermion field supplemented with a constraint which should be imposed on equations of motion, in Berkovits' open superstring field theory. From this action we…

高能物理 - 理论 · 物理学 2010-02-03 Yoji Michishita

A generalization of BRST field theory is presented, based on wave operators for the fields constructed out of, but different from the BRST operator. We discuss their quantization, gauge fixing and the derivation of propagators. We show,…

高能物理 - 理论 · 物理学 2011-07-19 J. W. van Holten

A new approximation scheme for non-perturbative calculations in a quantum field theory is proposed. The scheme is based on investigation of solutions of the Schwinger equation with its singular character taken into account. As a necessary…

高能物理 - 理论 · 物理学 2016-09-06 V. E. Rochev , P. A. Saponov

The proper time formalism for a particle propagator in an external electromagnetic field is combined with the path-dependent formulation of the gauge theory to simplify the quasiclassical propagator. The latter is achieved due to a specific…

量子物理 · 物理学 2015-05-19 Enderalp Yakaboylu , Karen Z. Hatsagortsyan , Christoph H. Keitel

It is well-known that a (point-localized) free quantum field for massive particles with spin $s$ acting in a Hilbert space has at best scaling dimension $s+1$, which excludes its use in the perturbative construction of renormalizable…

高能物理 - 理论 · 物理学 2017-09-13 Jens Mund , Erichardson T. de Oliveira

We analyse four approaches to elimination of a fast variable, which are applicable to systems like passive Brownian particles: (i) moment formalism, (ii) corresponding cumulant formalism, (iii) Hermite function basis, (iv) formal…

An effective description is presented for a Brownian particle in a magnetized plasma. In order to systematically capture various corrections to linear Langevin equation, we construct effective action for the Brownian particle, to quartic…

高能物理 - 理论 · 物理学 2022-10-06 Yanyan Bu , Biye Zhang , Jingbo Zhang

A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

高能物理 - 理论 · 物理学 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak