Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations

Details Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations

2004-01-13

arxiv.org/abs/hep-th/0401093v2

J.Phys.A37:10711,2004

Physics

High Energy Physics

High Energy Physics - Theory

Submitted to the Proceedings of the 3rd Symposium on Quantum Theory and Symmetries (QTS3) 10-14 September 2003. Preprint 9 pag

Scientific paper

10.1088/0305-4470/37/44/018

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.

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