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.
Cite this article
Izumi Ojima, Temperature as Order Parameter of Broken Scale Invariance. Publ. Res. Inst. Math. Sci. 40 (2004), no. 3, pp. 731–756DOI 10.2977/PRIMS/1145475491