### 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 → ∞) limits; we determine when such limits exist and obtain them explicitly.

Original language | English (US) |
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Pages (from-to) | 10711-10718 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 37 |

Issue number | 44 |

DOIs | |

State | Published - Nov 5 2004 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Goldin, G. A., & Shtelen, V. M. (2004). Generalizations of Yang-Mills theory with nonlinear constitutive equations.

*Journal of Physics A: Mathematical and General*,*37*(44), 10711-10718. https://doi.org/10.1088/0305-4470/37/44/018