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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2015 Volume 183, Number 2, Pages 163–176 (Mi tmf8868)

This article is cited in 6 papers

New approach to the quantization of the Yang–Mills field

A. A. Slavnovab

a Steklov Mathematical Institute of RAS, Moscow, Russia
b Lomonosov Moscow State University, Moscow, Russia

Abstract: We review papers on a new method for quantizing the Yang–Mills field applicable both in perturbation theory and beyond it. We show that in the modified formulation of the Yang–Mills theory leading to a formal perturbation theory that coincides with the standard one, there exist soliton solutions of the classical equations of motion.

Keywords: non-Abelian gauge invariance, quantization, quantization nonuniqueness, soliton.

Received: 10.02.2015

DOI: 10.4213/tmf8868


 English version:
Theoretical and Mathematical Physics, 2015, 183:2, 585–596

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