English

Gauge fixing problem and the constrained quantization

High Energy Physics - Theory 2017-02-03 v2

Abstract

In this work, the quantization of the Yang-Mills theory is worked out by means of Dirac's canonical quantization method, using the generalized Coulomb gauge fixing conditions. Following the construction of the matrix composed of all the second class constraints of the theory, its convenience within the framework of the canonical approach is discussed. Although this method can be used successfully in the quantization of the Abelian theories, it brings along difficulties for the non-Abelian case, which can not be handled easily even for the generalized Coulomb gauge of the Yang-Mills theory.

Keywords

Cite

@article{arxiv.1701.09035,
  title  = {Gauge fixing problem and the constrained quantization},
  author = {M. K. Gümüş and M. Boz},
  journal= {arXiv preprint arXiv:1701.09035},
  year   = {2017}
}

Comments

15 pages. Two references are added and few typos are corrected in the second version

R2 v1 2026-06-22T18:05:14.944Z