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1978•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsRequires access

Is the gauge sector responsible for confinement in the Abelian lattice theory?

Jorge F. Willemsen

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Abstract

In the ${A}_{0}=0$ gauge, the Abelian gauge theory QED allows one to separate the gauge-dependent and gauge-invariant vector potentials in a simple manner. It is found that the pseudodynamics of the gauge-variant sector is not sufficient to confine charged particles. The question of confinement devolves upon the form of dynamics postulated for the gauge-invariant vector potentials.

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What this paper is about

In the ${A}_{0}=0$ gauge, the Abelian gauge theory QED allows one to separate the gauge-dependent and gauge-invariant vector potentials in a simple manner. It is found that the pseudodynamics of the gauge-variant sector is not sufficient to confine charged particles. The question of confinement devolves upon the form of dynamics postulated for the gauge-invariant vector potentials.

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Available abstract

In the ${A}_{0}=0$ gauge, the Abelian gauge theory QED allows one to separate the gauge-dependent and gauge-invariant vector potentials in a simple manner. It is found that the pseudodynamics of the gauge-variant sector is not sufficient to confine charged particles. The question of confinement devolves upon the form of dynamics postulated for the gauge-invariant vector potentials.

Key concepts: Hamiltonian lattice gauge theory, Physics, Lattice gauge theory, Introduction to gauge theory, Quantum gauge theory, Gauge anomaly, Supersymmetric gauge theory, Gauge theory

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