JournalsprimsVol. 40 , No. 3DOI 10.2977/prims/1145475491

Temperature as Order Parameter of Broken Scale Invariance

  • Izumi Ojima

    Kyoto University, Japan
Temperature as Order Parameter of Broken Scale Invariance cover

Abstract

In algebraic quantum field theory the (inverse) temperature is shown to be a macroscopic order parameter to parametrize mutually disjoint thermal sectors arising from the broken scale invariance under renormalization-group transformations.

This is accomplished in a mathematical formalism for the consistent treatment of explicitly broken symmetries such as broken scale invariance, on the basis of a clearcut criterion for the symmetry breakdown in a unified scheme for sectors proposed recently by the author.