Non-Perturbative Self-Consistent Model in SU(N) Gauge Field Theory
Kashirskoye sh., 31, 115409, Moscow Russia
a e-mail: A_Kosh@internets.ru
Non-perturbative quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. The self-consistent solutions of the Dirac equation in the SU(N) gauge field, which is in the eikonal approximation, and the Yang-Mills (YM) equations containing the external fermion current are solved. It shown that the developed model has the self-consistent solutions of the Dirac and Yang-Mills equations at N ≥ 3. In this way, the solutions take place provided that the fermion and gauge fields exist simultaneously, so that the fermion current completely compensates the current generated by the gauge field due to self-interaction of it.
© Owned by the authors, published by EDP Sciences, 2012