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Chern-Simons couplings between Yang-Mills gauge fields and an abelian 2-form are derived by means of cohomological arguments.

高能物理 - 理论 · 物理学 2009-10-31 C. Bizdadea , L. Saliu , S. O. Saliu

We present a brief review of the cohomological solutions of self-coupling interactions of the fields in the free Yang-Mills theory. All consistent interactions among the fields have been obtained using the antifield formalism through…

综合物理 · 物理学 2017-07-20 A. Danehkar

A Hamiltonian BRST deformation procedure for obtaining consistent interactions among fields with gauge freedom is proposed. The general theory is exemplified on the three-dimensional Chern-Simons model.

高能物理 - 理论 · 物理学 2007-05-23 C. Bizdadea

Recent results on the cohomological reformulation of the problem of consistent interactions between gauge fields are illustrated in the case of the Yang-Mills models. By evaluating the local BRST cohomology through descent equation…

高能物理 - 理论 · 物理学 2011-04-15 G. Barnich , M. Henneaux , R. Tatar

Consistent interactions among a set of two-form gauge fields in four dimensions are derived along a Hamiltonian cohomological procedure. It is shown that the deformation of the BRST charge and BRST-invariant Hamiltonian for the free model…

高能物理 - 理论 · 物理学 2009-10-31 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

We completely compute the local BRST cohomology $H(s|d)$ of the combined Yang-Mills-2-form system coupled through the Yang-Mills Chern-Simons term ("Chapline-Manton model"). We consider the case of a simple gauge group and explicitely…

高能物理 - 理论 · 物理学 2016-09-06 Marc Henneaux , Bernard Knaepen , Christiane Schomblond

Consistent couplings among a set of scalar fields, two types of one-forms and a system of two-forms are investigated in the light of the Hamiltonian BRST cohomology, giving a four-dimensional nonlinear gauge theory. The emerging…

高能物理 - 理论 · 物理学 2009-11-07 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

Consistent couplings between an Abelian gauge field and three types of matter fields are investigated by means of the Hamiltonian BRST deformation theory based on cohomological techniques. In this manner, scalar electrodynamics, the…

高能物理 - 理论 · 物理学 2009-01-07 C. Bizdadea , M. T. Miauta , S. O. Saliu

In this paper we discuss the BRST-quantization of anomalous 2d-Yang Mills (YM) theory. Since we use an oscillator basis for the YM-Fock-space the anomaly appears already for a pure YM-system and the constraints form a Kac-Moody algebra with…

高能物理 - 理论 · 物理学 2011-07-19 Wolfgang Kalau

Consistent Hamiltonian interactions that can be added to an abelian free BF-type class of theories in any n greater or equal to 4 spacetime dimensions are constructed in the framework of the Hamiltonian BRST deformation based on…

高能物理 - 理论 · 物理学 2014-11-18 C. Bizdadea , C. C. Ciobirca , E. M. Cioroianu , S. O. Saliu , S. C. Sararu

The BRST transformations for the Yang-Mills gauge fields in the presence of gravity described by Ashtekar variables are obtained by using the so-called Maurer-Cartan horizontality conditions. The BRST cohomology group expressed by the…

高能物理 - 理论 · 物理学 2007-05-23 O. Moritsch , M. Schweda , T. Sommer , L. Tataru , H. Zerrouki

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…

高能物理 - 理论 · 物理学 2008-11-26 A. S. Cattaneo , P. Cotta-Ramusino , F. Fucito , M. Martellini , M. Rinaldi , A. Tanzini , M. Zeni

We extend previous work on antifield dependent local BRST cohomology for matter coupled gauge theories of Yang-Mills type to the case of gauge groups that involve free abelian factors. More precisely, we first investigate in a model…

高能物理 - 理论 · 物理学 2018-06-13 Glenn Barnich , Nicolas Boulanger

All consistent interactions in a three-dimensional theory with tensor gauge fields of degrees two and three are obtained by means of the deformation of the solution to the master equation combined with cohomological techniques. The local…

高能物理 - 理论 · 物理学 2009-11-10 S. O. Saliu

The BRST transformations for the Yang-Mills gauge fields in the presence of gravity with torsion are discussed by using the so-called Maurer-Cartan horizontality conditions. With the help of an operator $\d$ which allows to decompose the…

高能物理 - 理论 · 物理学 2010-04-06 O. Moritsch , M. Schweda , T. Sommer

We analyse in detail the local BRST cohomology in Einstein-Yang-Mills theory using the antifield formalism. We do not restrict the Lagrangian to be the sum of the standard Hilbert and Yang-Mills Lagrangians, but allow for more general…

高能物理 - 理论 · 物理学 2015-06-26 Glenn Barnich , Friedemann Brandt , Marc Henneaux

The PT-symmetry breaking, consistent hamiltonian interactions in all $n\geq 4$ spacetime dimensions that can be added to an abelian BF model involving a set of scalar fields, two sorts of one-forms, and a system of two-forms are obtained by…

高能物理 - 理论 · 物理学 2008-11-26 E. M. Cioroianu , S. C. Sararu

A exotic class of nonlinear p-form nonabelian gauge theories is studied, arising from the most general allowed nontrivial deformation of linear abelian gauge theory for a set of massless 1-form fields and 2-form fields in four dimensions.…

数学物理 · 物理学 2007-05-23 Stephen C. Anco

We provide an explicit construction of a manifestly duality invariant, interacting deformation of Maxwell theory in four dimensions in terms of mutually local, but interacting 1- and 3-forms. Interestingly, our theory is formulated directly…

高能物理 - 理论 · 物理学 2026-01-12 Carlo Alberto Cremonini , Erik Hundeshagen , Ivo Sachs

We show the consistent interactions in the generalized electrodynamics gauge theory with higher derivative matter fields by means of the order reduction method. We deduce the BRST deformations in the reduced Lagrangian and using the…

高能物理 - 理论 · 物理学 2020-07-30 Jialiang Dai
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