Lie Symmetries of Yang-Mills Equations

Details Lie Symmetries of Yang-Mills Equations Lie Symmetries of Yang-Mills Equations

2003-07-13

arxiv.org/abs/math-ph/0307028v1

J.Group Theor.Phys. 3 (1995) 115-130

Physics

Mathematical Physics

Published in 1995 in defunct journal. Posted now to make it more easily available

Scientific paper

We investigate Lie symmetries of general Yang-Mills equations. For this purpose, we first write down the second prolongation of the symmetry generating vector fields, and compute its action on the Yang-Mills equations. Determining equations are then obtained, and solved completely. Provided that Yang-Mills equations are locally solvable, this allows for a complete classification of their Lie symmetries. Symmetries of Yang-Mills equations in the Lorentz gauge are also investigated.

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