Quantization of spherically symmetric solution of SU(3) Yang-Mills theory

Details Quantization of spherically symmetric solution of SU(3) Yang-Mills theory Quantization of spherically symmetric solution of SU(3) Yang-Mills theory

1998-10-14

arxiv.org/abs/hep-th/9810094v1

Int.J.Theor.Phys.38:2175-2184,1999

Physics

High Energy Physics

High Energy Physics - Theory

REVTEX, pp.10

Scientific paper

10.1023/A:1026622323265

A recent investigation of the SU(3) Yang-Mills field equations found several classical solutions which exhibited a type of confinement due to gauge fields which increased without bound as $r \to \infty$. This increase of the gauge fields gave these solutions an infinite field energy, raising questions about their physical significance. In this paper we apply some ideas of Heisenberg about the quantization of strongly interacting, non-linear fields to this classical solution and find that at large $r$ this quantization procedure softens the unphysical behaviour of the classical solution, while the interesting short distance behaviour is still maintained. This quantization procedure may provide a general method for approximating the quantum corrections to certain classical field configurations.

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