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We consider extension of some established techniques of study of tensor fields on Lorentzian manifolds of arbitrary dimension to non-Abelian gauge covariant fields. These are then applied to study of gauge fields with vanishing scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Martin Kuchynka

Following systematically the generalized Hamiltonian approach of Batalin, Fradkin and Tyutin, we embed the second-class non-abelian self-dual model of P. K. Townsend et al into a gauge theory. The strongly involutive Hamiltonian and…

High Energy Physics - Theory · Physics 2009-10-30 Yong-Wan Kim , K. D. Rothe

We study gauge theories based on nonabelian 2-forms. Certain connections on loop space give rise to generalized covariant derivatives that include a nonabelian 2-form. This can be used to find rather straightforward expressions for the…

High Energy Physics - Theory · Physics 2007-05-23 C. Hofman

We introduce the notion of finite BRST-antiBRST transformations, both global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters and find explicit Jacobians corresponding to these changes of…

High Energy Physics - Theory · Physics 2019-11-21 Pavel Yu. Moshin , Alexander A. Reshetnyak

We find two different q-generalizations of Yang-Mills theories. The corresponding lagrangians are invariant under the q-analogue of infinitesimal gauge transformations. We explicitly give the lagrangian and the transformation rules for the…

High Energy Physics - Theory · Physics 2009-10-22 Leonardo Castellani

A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. The general solution of the consistency condition for anomalies with sources…

High Energy Physics - Theory · Physics 2009-10-22 G. Barnich , M. Henneaux

In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it is done in the spinorial representation. The presentation of these theories is aesthetic in the following sense: A…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaves

Two kinds of Yang-Mills fields are found upon the concepts of mass eigenstate and nonmass eigenstate. The Yang-Mills fields of the first kind were proposed by Yang and Mills, which couple to the mass eigenstates with the same rest mass,…

High Energy Physics - Phenomenology · Physics 2009-06-16 Xin-Bing Huang

A general solution of the Batalin-Vilkovisky master equation was formulated in terms of generalized fields. Recently, a superfields approach of obtaining solutions of the Batalin-Vilkovisky master equation is also established. Superfields…

High Energy Physics - Theory · Physics 2009-11-10 Omer F. Dayi

Just recently, the class of all Einstein-Maxwell fields solving simultaneously also any higher-order modification of the Eintein-Maxwell theory has been completely identified. In the present work, we argue that, in view of our recent…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Martin Kuchynka

The classical action for pure Yang--Mills gauge theory can be formulated as a deformation of the topological $BF$ theory where, beside the two-form field $B$, one has to add one extra-field $\eta$ given by a one-form which transforms as the…

High Energy Physics - Theory · Physics 2008-11-26 A. S. Cattaneo , P. Cotta-Ramusino , F. Fucito , M. Martellini , M. Rinaldi , A. Tanzini , M. Zeni

Yang-Mills theory in the first order formalism appears as the deformation of a topological field theory, the pure BF theory. In this approach new non local observables are inherited from the topological theory and the operators entering the…

High Energy Physics - Theory · Physics 2007-05-23 Maurizio Martellini , Mauro Zeni , Francesco Fucito

Using the background field method, we study in a general covariant gauge the renormalization of the 6-dimensional Yang-Mills theory. This requires background gauge invariant counterterms, some of which do not vanish on shell. Such…

High Energy Physics - Theory · Physics 2019-01-09 F. T. Brandt , J. Frenkel , D. G. C. McKeon

A gauge field model, which simultaneously has strict local gauge symmetry and contains massive general gauge bosons, is discussed in this paper. The model has SU(N) gauge symmetry. In order to introduce the mass term of gauge fields…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ning Wu

A manifestly invariant renormalization scheme of N=1 nonabelian supersymmetric gauge theories is proposed.

High Energy Physics - Theory · Physics 2009-11-10 A. A. Slavnov , K. V. Stepanyantz

We develop a general approach to constructing a deformation that describes the mapping of any dynamical system with irreducible first-class constraints in the phase space into another dynamical system with first-class constraints. It is…

High Energy Physics - Theory · Physics 2023-06-16 I. L. Buchbinder , P. M. Lavrov

We discuss the quantum equivalence, to all orders of perturbation theory, between the Yang-Mills theory and its first order formulation through a second rank antisymmetric tensor field. Moreover, the introduction of an additional…

High Energy Physics - Theory · Physics 2010-02-05 F. Fucito , M. Martellini , S. P. Sorella , A. Tanzini , L. C. Q. Vilar , M. Zeni

We derive the various forms of BRST symmetry using Batalin-Fradkin-Vilkovisky approach in the case of Abelian 2-form gauge theory. We show that the so-called dual BRST symmetry is not an independent symmetry but the generalization of BRST…

High Energy Physics - Theory · Physics 2011-05-12 Sumit Kumar Rai , Bhabani Prasad Mandal

Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Green's functions for a Yang--Mills theory with composite and background fields are introduced, including the generating…

High Energy Physics - Theory · Physics 2022-12-29 Pavel Yu. Moshin , Alexander A. Reshetnyak , Ricardo A. Castro

We extend the Bardakci-Thorn (BT) worldsheet formalism to supersymmetric non-abelian gauge theory. Our method covers the cases of N =1,2,4 extended supersymmetry. This task requires the introduction of spinor valued Grassmann variables on…

High Energy Physics - Theory · Physics 2010-04-05 Skuli Gudmundsson , Charles B. Thorn , Tuan A. Tran