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Local-Gauge Commutation Relation for General Gauge Fixing in the Non-Abelian Gauge Theory

Noboru Nakanishi

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Abstract

The local-gauge commutation relation realizes the local gauge transformation property in the fully quantized operator theory of a non-abelian gauge field. This result, which has recently been established only for the linear covariant gauge, is extended to the case of general gauge fixing. It is pointed out that quantum electrodynamics is naturally embedded in the Weinberg-Salam electroweak theory if the Suzuki gauge is employed.

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What this paper is about

The local-gauge commutation relation realizes the local gauge transformation property in the fully quantized operator theory of a non-abelian gauge field. This result, which has recently been established only for the linear covariant gauge, is extended to the case of general gauge fixing. It is pointed out that quantum electrodynamics is naturally embedded in the Weinberg-Salam electroweak theory if the Suzuki gauge is employed.

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Available abstract

The local-gauge commutation relation realizes the local gauge transformation property in the fully quantized operator theory of a non-abelian gauge field. This result, which has recently been established only for the linear covariant gauge, is extended to the case of general gauge fixing. It is pointed out that quantum electrodynamics is naturally embedded in the Weinberg-Salam electroweak theory if the Suzuki gauge is employed.

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

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Local-Gauge Commutation Relation for General Gauge Fixing in the Non-Abelian Gauge Theory — Research Paper | ScholarLens