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The rules to construct Lagrangian formulation for $\theta$-superfield theory of fields ($\theta$-STF) are introduced and considered on the whole in the framework of new superfield quantization method for general gauge theories. Algebraic,…

高能物理 - 理论 · 物理学 2007-05-23 A. A. Reshetnyak

Renormalized gauge-invariant observables in gauge theories form an algebra which is obtained as the cohomology of the derivation $[\textbf{Q}_L, -]$ with $\textbf{Q}_L$ the renormalized interacting quantum BRST charge. For a large class of…

高能物理 - 理论 · 物理学 2018-08-14 Mojtaba Taslimi Tehrani

A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. Thereby, osp(1,2) is considered as subalgebra of the superalgebra sl(1,2) which is interpreted as conformal algebra…

高能物理 - 理论 · 物理学 2007-05-23 Bodo Geyer , Dietmar Muelsch

The Ward identities are the relations which the complete Green functions of quantum fields satisfy if an original classical Lagrangian system is degenerate. A generic degenerate Lagrangian system of even and odd fields is considered. It is…

高能物理 - 理论 · 物理学 2007-05-23 D. Bashkirov , G. Sardanashvily

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.

高能物理 - 理论 · 物理学 2008-11-26 C. Bizdadea , S. O. Saliu

The basic theorem of the Lagrangian formulation for general superfield theory of fields (GSTF) is proved. The gauge transformations of general type (GTGT) and gauge algebra of generators of GTGT (GGTGT) as the consequences of the above…

高能物理 - 理论 · 物理学 2007-05-23 A. A. Reshetnyak

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…

高能物理 - 理论 · 物理学 2008-11-26 R. P. Malik

This letter studies the Sp(2) covariant quantisation of gauge theories. The geometrical interpretation of gauge theories in terms of quasi principal fibre bundles $Q(M_S, G_S)$ is reviewed. It is then described the Sp(2) algebra of ordinary…

高能物理 - 理论 · 物理学 2007-05-23 J. L. Vazquez-Bello

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

The thesis divides into three parts. The first is devoted to a careful study of very convenient superspace conventions which are a basic tool for the second part. A theorem is formulated that gives a clear statement about when the signs of…

高能物理 - 理论 · 物理学 2009-03-12 Sebastian Guttenberg

The supersymmetric generalization of a recently proposed Abelian axial gauge model with antisymmetric tensor matter fields is presented.

高能物理 - 理论 · 物理学 2009-10-28 V. E. R. Lemes , A. L. M. A. Nogueira , J. A. Helayël-Neto

We consider a deformation of three dimensional BF theory by means of the antifield BRST formalism. Possible deformations for the action and the gauge symmetries are analyzed. We find a new class of gauge theories which include nonabelian BF…

高能物理 - 理论 · 物理学 2010-02-03 Noriaki Ikeda

We discuss the extended BRST and anti-BRST symmetry (including shift symmetry) in the Batalin-Vilkovisky (BV) formulation for two and three form gauge theories. Further we develop the superspace formulation for the BV actions for these…

高能物理 - 理论 · 物理学 2012-07-11 Sudhaker Upadhyay , Bhabani Prasad Mandal

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

In this short note we extend the results of Alfaro and Damgaard on the origin of antifields to theories with a gauge algebra that is open or reducible.

高能物理 - 理论 · 物理学 2009-10-22 Frank De Jonghe

We give a generalized Lagrangian density of 1+1 Dimensional O(3) nonlinear sigma model with subsidiary constraints, different Lagrange multiplier fields and topological term, find a lost intrinsic constraint condition, convert the…

高能物理 - 理论 · 物理学 2008-11-26 Yong-Chang Huang , Kai-Hua Yang , Xi-Guo Lee

A systematic way of generating sets of local boundary conditions on the gauge fields in a path integral is presented. These boundary conditions are suitable for one--loop effective action calculations on manifolds with boundary and for…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Ian G. Moss , Pedro J. Silva

We present a superfield formulation of the quantization program for theories with first class constraints. An exact operator formulation is given, and we show how to set up a phase-space path integral entirely in terms of superfields. BRST…

高能物理 - 理论 · 物理学 2009-10-30 I. A. Batalin , K. Bering , P. H. Damgaard

We develop the BRST approach to Lagrangian formulation for massive higher integer spin fields on a flat space-time of arbitrary dimension. General procedure of gauge invariant Lagrangian construction describing the dynamics of massive…

高能物理 - 理论 · 物理学 2010-04-05 I. L. Buchbinder , V. A. Krykhtin

General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as…

高能物理 - 理论 · 物理学 2009-11-10 Igor Batalin , Igor Tyutin