Work

Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns

Year: 2008
Type: conference-abstract
Abstract: We extend the traditional formulation of Gauge Field Theory by incorporating the (non-Abelian) gauge group parameters (traditionally simple spectators) as new dynamical (nonlinearsigma-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.
Authors: M. Calixto, V. Aldaya, F. F. Lopez-Ruiz, E. Sanchez-Sastre
Language: English
Open Access status: hybrid
Estimated APC paid: $1,490
OpenAlex ID: W2143740309
Cites: 7
Cited by: 4
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