1985Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsRequires access

Natural gauge without any ghost for Yang-Mills theory

A. Burnel

Open publisher page 4 citations

Abstract

We show it is possible to find, for Yang-Mills theory, a gauge in which only physical degrees of freedom appear as free particles. This gauge is first illustrated for simpler gauge theories like the motion on a line and the Maxwell theory. In the latter case, the Hamiltonian in our gauge is identical to the Hamiltonian of the Coulomb gauge. Its extension to non-Abelian theories does not manifest any trouble.

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What this paper is about

We show it is possible to find, for Yang-Mills theory, a gauge in which only physical degrees of freedom appear as free particles. This gauge is first illustrated for simpler gauge theories like the motion on a line and the Maxwell theory. In the latter case, the Hamiltonian in our gauge is identical to the Hamiltonian of the Coulomb gauge. Its extension to non-Abelian theories does not manifest any trouble.

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Available abstract

We show it is possible to find, for Yang-Mills theory, a gauge in which only physical degrees of freedom appear as free particles. This gauge is first illustrated for simpler gauge theories like the motion on a line and the Maxwell theory. In the latter case, the Hamiltonian in our gauge is identical to the Hamiltonian of the Coulomb gauge. Its extension to non-Abelian theories does not manifest any trouble.

Key concepts: Hamiltonian lattice gauge theory, Quantum gauge theory, Introduction to gauge theory, BRST quantization, Physics, Supersymmetric gauge theory, Yang–Mills theory, Gauge fixing

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