Gauge Freedom in the Path Integral Formalism(Particles and Fields)

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概要

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• We investigate 't Hooft's technique of changing the gauge parameter of the linear covariant gauge from the point of view of the path integral with respect to the gauge freedom. Extension of the degrees of freedom allows us to formulate a system with extended gauge symmetry. The gauge fixing for this extended symmetry yields the 't Hooft averaging as a path integral over the additional degrees of freedom. Another gauge fixing is found as a non-abelian analogue of the type II gaugeon formalism of Yokoyama and Kubo. In this connection, the 't Hooft average can be viewed as the analogue of the type I gaugeon formalism. As a result, we obtain gauge covariant formulations of non-abelian gauge theories, which allow us to understand 't Hoot's technique also from the canonical fromalism.

• 理論物理学刊行会の論文
• 2007-04-25

著者

• Sakoda Seiji

  Department Of Applied Physics National Defense Academy

関連論文

• Coherent states,Path integral,and Semiclassical approximation (マニフォ-ルド上での量子化および量子論)
• Ordering, Symbols and Finite-Dimensional Approximations of Path Integrals : Particles and Fields
• Gauge Freedom in the Path Integral Formalism(Particles and Fields)

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