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The SU(2) Skyrme model,expanding in the collective coordinates variables, gives rise to second-class constraints. Recently this system was embedded in a more general Abelian gauge theory using the BFFT Hamiltonian method. In this work we…

高能物理 - 理论 · 物理学 2009-10-31 Everton M. C. Abreu , Jorge Ananias Neto , Wilson Oliveira

We apply the Batalin-Tyutin Hamiltonian method to the Abelian Proca model in order to convert a second class constraint system into a first class one systematically by introducing the new fields. Then, according to the BFV formalism we…

高能物理 - 理论 · 物理学 2008-02-03 Sean J. Yoon , Yong-Wan Kim , Young-Jai Park

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…

高能物理 - 理论 · 物理学 2009-10-28 P. H. Damgaard , F. De Jonghe , R. Sollacher

When the path integral method of anomaly evaluation is applied to chiral gauge theories, two different types of gauge anomaly, i.e., the consistent form and the covariant form, appear depending on the regularization scheme for the Jacobian…

高能物理 - 理论 · 物理学 2009-10-30 Kiyoshi Okuyama , Hiroshi Suzuki

We compute the anomalous divergence of currents associated with global transformations in the antifield formalism, by introducing compensating fields that gauge these transformations. We consider the explicit case of the global axial…

高能物理 - 理论 · 物理学 2008-11-26 Ricardo Amorim , Nelson R. F. Braga , Marc Henneaux

We propose a novel gauge-invariant regularization for the perturbative chiral gauge theory.Our method consists of the two ingredients: use of the domain-wall fermion to describe a chiral fermion with Pauli-Villars regulators and application…

高能物理 - 理论 · 物理学 2018-06-04 Yu Hamada , Hikaru Kawai , Katsuta Sakai

Quantum localization of classical mechanics within the BRST-BFV and BV (or field-antifield) quantization methods are studied. It is shown that a special choice of gauge fixing functions (or BRST-BFV charge) together with the unitary limit…

高能物理 - 理论 · 物理学 2016-07-11 Igor A. Batalin , Peter M. Lavrov

In the generalized Pauli-Villars regularization of chiral gauge theory proposed by Frolov and Slavnov , it is important to specify how to sum the contributions from an infinite number of regulator fields. It is shown that an explicit sum of…

高能物理 - 理论 · 物理学 2009-10-28 Kazuo Fujikawa

We make a systematic development of the non-Abelian formulation of two-form gauge fields with topological coupling with the Yang-Mills one-form connection. An analysis of the gauge structure, reducibility conditions and physical degrees of…

高能物理 - 理论 · 物理学 2007-05-23 R. Amorim , J. Barcelos-Neto

We study the nonlocal regularization for the non-abelian gauge theories for an arbitrary value of the gauge parameter (\xi). We show that the procedure for the nonlocalization of field theories established earlier by the original authors,…

高能物理 - 理论 · 物理学 2009-10-31 Anirban Basu , Satish D. Joglekar

We construct a framework which unifyies in dual pairs the fields and anti-fields of the Batalin and Vilkovisky quantization method. We consider gauge theories of p-forms coupled to Yang-Mills fields. Our algorithm generates many topological…

高能物理 - 理论 · 物理学 2007-05-23 Laurent Baulieu

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 apply an improved version of Batalin-Fradkin-Tyutin (BFT) Hamiltonian method to the a=1 chiral Schwinger Model, which is much more nontrivial than the a>1.$ one. Furthermore, through the path integral quantization, we newly resolve the…

高能物理 - 理论 · 物理学 2008-11-26 Mu-In Park , Young-Jai Park , Sean J. Yoon

In the context of algebraic renormalization, the extended antifield formalism is used to derive the general forms of the anomaly consistency condition and of the Callan-Symanzik equation for generic gauge theories. A local version of the…

高能物理 - 理论 · 物理学 2016-09-06 Glenn Barnich

The Batalin-Vilkovisky (BV) formalism is a powerful generalization of the BRST approach of gauge theories and allows to treat more general field theories. We will see how, starting from the case of a finite dimensional configuration space,…

数学物理 · 物理学 2016-09-09 Pierre J. Clavier , Viet Dang Nguyen

We demonstrate how nonlocal regularization is applied to gauge invariant models with spontaneous symmetry breaking. Motivated by the ability to find a nonlocal BRST invariance that leads to the decoupling of longitudinal gauge bosons from…

高能物理 - 理论 · 物理学 2009-11-07 M. A. Clayton

Combining the effect of an intermediate renormalization prescription (zero momentum subtraction) and the background field method (BFM), we show that the algebraic renormalization procedure needed for the computation of radiative corrections…

高能物理 - 唯象学 · 物理学 2009-11-07 P. A. Grassi , T. Hurth , M. Steinhauser

Three-dimensional cutoff regulators are frequently employed in multi-nucleon calculations, but they violate chiral symmetry and Lorentz invariance. A cutoff regularization scheme is proposed to compensate systematically at subleading orders…

核理论 · 物理学 2016-05-10 Bingwei Long , Ying Mei

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

Some form of nonperturbative regularization is necessary if effective field theory treatments of the NN interaction are to yield finite answers. We discuss various regularization schemes used in the literature. Two of these methods involve…

核理论 · 物理学 2009-04-17 D. R. Phillips , S. R. Beane , T. D. Cohen