Generalizations of Yang–Mills theory

doi:10.1088/0305-4470/37/44/018

Generalizations of Yang–Mills theory with nonlinear constitutive equations

Gerald A Goldin et al 2004 J. Phys. A: Math. Gen. 37 10711-10718 doi: 10.1088/0305-4470/37/44/018

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Gerald A Goldin¹ and Vladimir M Shtelen²
¹ Departments of Mathematics and Physics, Rutgers University, Busch Campus, Piscataway, NJ 08854, USA
² Department of Mathematics, Rutgers University, Busch Campus, Piscataway, NJ 08854, USA
E-mail: gagoldin@dimacs.rutgers.edu and shtelen@math.rutgers.edu

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.

PACS numbers: 03.50.−z, 11.10.Lm, 11.10.Nx, 11.15.−q

Print publication: Issue 44 (5 November 2004)
Received 14 April 2004
Published 20 October 2004

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Generalizations of Yang–Mills theory with nonlinear constitutive equations

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