Coupling Nonlinear Sigma-Matter to Yang-Mills Fields: Symmetry Breaking Patterns
- 10.2991/jnmp.2008.15.s3.10How to use a DOI?
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 , 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.
- © 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/).
Cite this article
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 -