Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations

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.

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

References in corpus (4)

• A Particle Field Theorist's Lectures on Supersymmetric, Non-Abelian Fluid Mechanics and d-Branes
• Non-Abelian Fluid Dynamics in Lagrangian Formulation
• Classical glueballs in non-Abelian Born-Infeld theory
• On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics

Cited by in corpus (10)

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• The Maxwell-Proca theory: definition and construction
• Nonminimal isotropic cosmological model with Yang-Mills and Higgs fields
• Worldsheet Instantons and a Null String Limit of Born-Infeld Theory
• Non-Abelian Born-Infeld theory without the square root
• Generalizations of Nonlinear and Supersymmetric Classical Electrodynamics
• On Lagrangian and non-Lagrangian conformal-invariant nonlinear electrodynamics
• Conformal inversion and Maxwell field invariants in four- and six-dimensional spacetimes
• Operator Gauge Symmetry in QED
• Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study