Nonabelian interactions from Hamiltonian BRST cohomology

Abstract

Consistent Hamiltonian couplings between a set of vector fields and a system of matter fields are derived by means of BRST cohomological techniques.Comment: 21 pages, LaTeX 2.

Consistent deformations of dual formulations of linearized gravity: A no-go result

“…An alternative, Hamiltonian based deformation point of view has been developed in [30]. One advantage of the cohomological approach, besides its systematic aspect, is that it minimizes the work that must be done because most of the necessary computations are either already in the literature [31] or are direct extensions of existing developments carried out for 1-forms [32,33], p-forms [34] or gravity [8,35] (see also [36,37] for recent developments on the 1-form-p-form case).…”

Dirac-Kähler Theory and Massless Fields

“…The massless field systems (12) and (29) like the DKE for a massive particle have an internal symmetry. Making the use of the matrix form of these systems (13) and (30) and explicit form of the matrices Γ µ , Γ ′ µ , P 1 , and P 2 one can show that the system symmetry narrows up to the group SO(3, 1) of which generators are determined by the matrices Γ ′ [i Γ ′ k] and Γ ′ 5 Γ ′ k .…”

“…Such an approach is very important for the string theory (see [10][11][12][13] and references there in). It is, therefore, important to generalize this approach for the case of massless systems of the DK type involving the complete set of antisymmetric tensor fields in the space with dimension d = 4.…”

Massive spin-one fields from couplings with five massless real scalars

“…It is worth noticing that a BRST Hamiltonian counterpart to the antifield deformation method was conceived [49]. By means of this procedure various models that involve Abelian forms and gauge/matter fields has been successfully analyzed [50][51][52][53][54][55][56][57][58][59][60].…”