TY - JOUR
A1 - Aldaya Valverde, Víctor
AU - López Ruiz, Francisco Felipe
AU - Sánchez Sastre, Eduardo
AU - Calixto Molina, Manuel
T1 - Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns
Y1 - 2008
SN - 1402-9251
UR - http://hdl.handle.net/10317/511
UR - arXiv:0809.2077v1
AB - 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.
KW - Matemática Aplicada
KW - Teoria de campos Gauge
KW - Teoria Yang-Mills
KW - Modelo Sigma no lineal
LA - eng
PB - Atlantis Press
ER -