Lie Symmetries of Yang-Mills Equations
Marchildon, Louis
arXiv, 0307028 / Harvested from arXiv
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.
Publié le : 2003-07-13
Classification:  Mathematical Physics
@article{0307028,
     author = {Marchildon, Louis},
     title = {Lie Symmetries of Yang-Mills Equations},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307028}
}
Marchildon, Louis. Lie Symmetries of Yang-Mills Equations. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307028/