Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns
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Aldaya Valverde, Víctor; López Ruiz, Francisco Felipe; Sánchez Sastre, Eduardo; Calixto Molina, ManuelÁrea de conocimiento
Matemática AplicadaPatrocinadores
Work partially supported by the MCYT and Fundación Séneca under projects FIS2005-05736-C03-01 and 0310/PI/05Fecha de publicación
2008Editorial
Atlantis PressCita bibliográfica
CALIXTO MOLINA, Manuel, ALDAYA VALVERDE, Victor, LÓPEZ RUIZ, Francisco, SÁNCHEZ SASTRE, Eduardo. Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns. Journal of Nonlinear Mathematical Physics, 20 (20): 1-11, 2008. ISSN 1402-9251Palabras clave
Teoria de campos GaugeTeoria Yang-Mills
Modelo Sigma no lineal
Resumen
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.
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