### 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) |
---|---|

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 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Journal of Physics A: Mathematical and General*,

*37*(44), 10711-10718. https://doi.org/10.1088/0305-4470/37/44/018

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*Journal of Physics A: Mathematical and General*, vol. 37, no. 44, pp. 10711-10718. https://doi.org/10.1088/0305-4470/37/44/018

**Generalizations of Yang-Mills theory with nonlinear constitutive equations.** / Goldin, Gerald A.; Shtelen, Vladimir M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Generalizations of Yang-Mills theory with nonlinear constitutive equations

AU - Goldin, Gerald A.

AU - Shtelen, Vladimir M.

PY - 2004/11/5

Y1 - 2004/11/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=8744288714&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8744288714&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/37/44/018

DO - 10.1088/0305-4470/37/44/018

M3 - Article

AN - SCOPUS:8744288714

VL - 37

SP - 10711

EP - 10718

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 44

ER -