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

DOI

10.2991/jnmp.2008.15.s3.10How to use a DOI?

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.

Copyright

© 2008, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - M. Calixto
AU  - V. Aldaya
AU  - F. F. Lopez-Ruiz
AU  - E. Sanchez-Sastre
PY  - 2008
DA  - 2008/10/01
TI  - Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns
JO  - Journal of Nonlinear Mathematical Physics
SP  - 91
EP  - 101
VL  - 15
IS  - supplement 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.s3.10
DO  - 10.2991/jnmp.2008.15.s3.10
ID  - Calixto2008
ER  -