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arXiv · 1612.06660

Polyakov Loop in Non-covariant Operator Formalism

Makoto Sakamoto·Kazunori Takenaga
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Abstract

We discuss a Polyakov loop in non-covariant operator formalism which consists of only physical degrees of freedom at finite temperature. It is pointed out that although the Polyakov loop is expressed by a Euclidean time component of gauge fields in a covariant path integral formalism, there is no direct counterpart of the Polyakov loop operator in the operator formalism because the Euclidean time component of gauge fields is not a physical degree of freedom. We show that by starting with an operator which is constructed in terms of only physical operators in the non-covariant operator formalism, the vacuum expectation value of the operator calculated by trace formula can be rewritten into a familiar form of an expectation value of Polyakov loop in a covariant path integral formalism at finite temperature for the cases of axial and Coulomb gauge.

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Makoto Sakamoto, Kazunori Takenaga. 2016-12-20. Polyakov Loop in Non-covariant Operator Formalism. https://doi.org/10.1093/ptep%2Fptx026

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