1998/01/30 by Martin Bordemann, Hartmann Roemer, Stefan Waldmann
Mathematics · #math.QA #math.SG
published as Lett.Math.Phys. 45 (1998) 49-61 · 11 pages, LaTeX2e
arxiv created 1998/01/30 · arxiv updated 2009/11/30
In the framework of deformation quantization we define formal KMS states on the deformed algebra of power series of functions with compact support in phase space as C[[λ]]-linear functionals obeying a formal variant of the usual KMS condition known in the theory of C^*-algebras. We show that for each temperature KMS states always exist and are up to a normalization equal to the trace of the argument multiplied by a formal analogue of the usual Boltzmann factor, a certain formal star exponential.