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Temparature as Order Parameter of Broken Scale Invariance

Izumi Ojima
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Abstract

In algebraic quantum field theory the (inverse) temperature is shown to be a macroscopic \textit{order parameter} to parametrize mutually disjoint thermal \textit{sectors} arising from the \textit{broken scale invariance} under renormalization-group transformations. This is accomplished in a mathematical formalism for the consistent treatment of \textit{explicitly broken symmetries} such as broken scale invariance, on the basis of a clear-cut criterion for the symmetry breakdown in a unified scheme for sectors proposed recently by the author.

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Izumi Ojima. 2003-11-16. Temparature as Order Parameter of Broken Scale Invariance. https://arxiv.org/abs/math-ph/0311025

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