Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-03
Int.J.Mod.Phys.A25:1211-1238,2010
Physics
High Energy Physics
High Energy Physics - Theory
35 pages
Scientific paper
10.1142/S0217751X1004797X
Under the hypotheses of analyticity, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the requirement that the interaction vertices contain at most two space-time derivatives of the fields, we investigate the consistent cross-couplings between two collections of tensor fields with the mixed symmetries of the type (3,1) and (2,2). The computations are done with the help of the deformation theory based on a cohomological approach in the context of the antifield-BRST formalism. Our results can be synthesized in: 1. there appear consistent cross-couplings between the two types of field collections at order one and two in the coupling constant such that some of the gauge generators and of the reducibility functions are deformed, and 2. the existence or not of cross-couplings among different fields with the mixed symmetry of the Riemann tensor depends on the indefinite or respectively positive-definite behaviour of the quadratic form defined by the kinetic terms from the free Lagrangian.
Babalic Elena-Mirela
Bizdadea C.
Cioroianu E. M.
Saliu S. O.
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