Lie Symmetries of the Self-Dual Yang-Mills Equations
Voyer, Marc ; Marchildon, Louis
arXiv, 9701019 / Harvested from arXiv
We investigate Lie symmetries of the self-dual Yang-Mills equations in four-dimensional Euclidean space (SDYM). The first prolongation of the symmetry generating vector fields is written down, and its action on SDYM computed. Determining equations are then obtained and solved completely. Lie symmetries of SDYM in Euclidean space are in exact correspondence with symmetries of the full Yang-Mills equations in Minkowski space.
Publié le : 1997-01-27
Classification:  Mathematical Physics
@article{9701019,
     author = {Voyer, Marc and Marchildon, Louis},
     title = {Lie Symmetries of the Self-Dual Yang-Mills Equations},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9701019}
}
Voyer, Marc; Marchildon, Louis. Lie Symmetries of the Self-Dual Yang-Mills Equations. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9701019/