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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…

High Energy Physics - Theory · Physics 2009-11-10 S. O. Saliu

The cohomological approach to the problem of consistent interactions between fields with a gauge freedom is reviewed. The role played by the BRST symmetry is explained. Applications to massless vector fields and 2-form gauge fields are…

High Energy Physics - Theory · Physics 2007-05-23 Marc Henneaux

Consistent interactions between Yang-Mills gauge fields and an abelian 2-form are investigated by using a Hamiltonian cohomological procedure. It is shown that the deformation of the BRST charge and the BRST-invariant Hamiltonian of the…

High Energy Physics - Theory · Physics 2009-10-31 C. Bizdadea , L. Saliu , S. O. Saliu

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…

High Energy Physics - Theory · Physics 2014-11-18 C. Bizdadea , C. C. Ciobirca , E. M. Cioroianu , S. O. Saliu , S. C. Sararu

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…

High Energy Physics - Theory · Physics 2008-11-26 E. M. Cioroianu , S. C. Sararu

We consider a generic gauge system, whose physical degrees of freedom are obtained by restriction on a constraint surface followed by factorization with respect to the action of gauge transformations; in so doing, no Hamiltonian structure…

High Energy Physics - Theory · Physics 2011-09-29 S. L. Lyakhovich , A. A. Sharapov

We couple three-dimensional Chern-Simons gauge theory with BF theory and study deformations of the theory by means of the antifield BRST formalism. We analyze all possible consistent interaction terms for the action under physical…

High Energy Physics - Theory · Physics 2014-11-18 Noriaki Ikeda

The antibracket in BRST theory is known to define a map $\rm{H^p \times H^q \longrightarrow H^{p+q+1}}$ associating with two equivalence classes of BRST invariant observables of respective ghost number p and q an equivalence class of BRST…

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

The interactions which preserve the structure of the gauge interactions of the free theory are introduced in terms of the generalized fields method of solving the Batalin-Vilkovisky master equation. It is shown that by virtue of this method…

High Energy Physics - Theory · Physics 2009-10-30 O. F. Dayi

Starting from the concept of involution of field equations, a universal method is proposed for constructing consistent interactions between the fields. The method equally well applies to the Lagrangian and non-Lagrangian equations and it is…

High Energy Physics - Theory · Physics 2015-06-11 D. S. Kaparulin , S. L. Lyakhovich , A. A. Sharapov

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…

High Energy Physics - Theory · Physics 2009-01-07 C. Bizdadea , M. T. Miauta , S. O. Saliu

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…

High Energy Physics - Theory · Physics 2009-10-31 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

We consider constrained multi-Hamiltonian formulation for the extended Chern-Simons theory with higher derivatives of arbitrary finite order. The order $n$ extension of the theory admits $(n-1)$-parametric series of conserved tensors. The…

High Energy Physics - Theory · Physics 2019-06-05 V. A. Abakumova , D. S. Kaparulin , S. L. Lyakhovich

The BRST-Antifield reformulation of the deformation problem is reviewed in a self-contained and heuristic way. The focus is on finding all consistent interaction terms for fields propagating on a Minkowskian D-dimensional spacetime.…

High Energy Physics - Theory · Physics 2016-10-07 Gustavo Lucena Gómez

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…

High Energy Physics - Theory · Physics 2009-11-07 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

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…

High Energy Physics - Theory · Physics 2020-07-30 Jialiang Dai

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…

High Energy Physics - Theory · Physics 2021-07-28 Sudhaker Upadhyay , Bhabani Prasad Mandal

The complete proof of a theorem announced in [1] on the consistent interactions for (non-chiral) exterior form gauge fields is given. The theorem can be easily generalized to the analysis of anomalies. Its proof amounts to computing the…

High Energy Physics - Theory · Physics 2016-12-28 Marc Henneaux , Bernard Knaepen

Consistent Hamiltonian couplings between a set of vector fields and a system of matter fields are derived by means of BRST cohomological techniques.

High Energy Physics - Theory · Physics 2009-01-07 C. Bizdadea , M. T. Miauta , S. O. Saliu

We construct a field theoretic version of 2T-physics including interactions in an action formalism. The approach is a BRST formulation based on the underlying Sp(2,R)gauge symmetry, and shares some similarities with the approach used to…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars , Yueh-Cheng Kuo
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