Gerald A Goldin and Vladimir M Shtelen 2004 J. Phys. A: Math. Gen. 37 10711 doi:10.1088/0305-4470/37/44/018
Gerald A Goldin1 and Vladimir M Shtelen2
Show affiliationsWe 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.
70S15 Yang-Mills and other gauge theories
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
Issue 44 (5 November 2004)
Received 14 April 2004
Published 20 October 2004
Gerald A Goldin and Vladimir M Shtelen 2004 J. Phys. A: Math. Gen. 37 10711
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