Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations
High Energy Physics - Theory
2011-07-19 v2
Abstract
We generalize classical Yang-Mills theory by extending nonlinear constitutive equations for Maxwell fields to non-Abelian gauge groups. Such theories may or may not be Lagrangian. We obtain conditions on the constitutive equations specifying the Lagrangian case, of which recently-discussed non-Abelian Born-Infeld theories are particular examples. Some models in our class possess nontrivial Galilean (c goes to infinity) limits; we determine when such limits exist, and obtain them explicitly.
Keywords
Cite
@article{arxiv.hep-th/0401093,
title = {Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations},
author = {Gerald A. Goldin and Vladimir Shtelen},
journal= {arXiv preprint arXiv:hep-th/0401093},
year = {2011}
}
Comments
Submitted to the Proceedings of the 3rd Symposium on Quantum Theory and Symmetries (QTS3) 10-14 September 2003. Preprint 9 pages including references