%0 Journal Article
%A Aldaya Valverde, Víctor
%A López Ruiz, Francisco Felipe
%A Sánchez Sastre, Eduardo
%A Calixto Molina, Manuel
%T Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns
%D 2008
%@ 1402-9251
%U http://hdl.handle.net/10317/511
%U arXiv:0809.2077v1
%X We extend the traditional formulation of Gauge Field Theory by incorporating the
(non-Abelian) gauge group parameters (traditionally simple spectators) as new dynamical (nonlinear-sigma-model-type) fields. These new fields interact with the usual Yang-Mills fields through a generalized minimal coupling prescription, which resembles the so-called Stueckelberg transformation [1], but for the non-Abelian case. Here we study the case of internal gauge symmetry groups, in particular, unitary groups U(N). We show how to couple standard Yang-Mills Theory to Nonlinear-Sigma Models
on cosets of U(N): complex projective, Grassman and flag manifolds. These
different couplings lead to distinct (chiral) symmetry breaking patterns and Higgs-less
mass-generating mechanisms for Yang-Mills fields.
%K Matemática Aplicada
%K Teoria de campos Gauge
%K Teoria Yang-Mills
%K Modelo Sigma no lineal
%~ GOEDOC, SUB GOETTINGEN