This article is cited in 2 papers

Yang–Mills fields with external source

A. S. Vshivtsev, D. V. Peregoudov

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)

Abstract: A procedure for quantizing a non-Abelian gauge theory with Lagrangian
$$L=-\frac 14 F_{\mu \nu }^a F_a^{\mu \nu }+J_a^\mu V_\mu ^a$$
near a nontrivial classical solution is considered. The theories are classified with respect to the external current. The gluon propagator in a model spherically symmetric non-Abelian field is constructed and investigated.

Received: 31.08.1994

 English version: Theoretical and Mathematical Physics, 1995, 104:3, 1108–1119

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