Beta-holomorphic States on C*-algebras and Black Hole Thermodynamics
by
Daniele Guido
Dipartimento di Matematica, Univ. Basilicata, Potenza, Italy
Coauthors: Roberto Longo (Dip. Matematica, Univ. Roma Tor Vergata, Italy)

A characterization of KMS thermal equilibrium states, at inverse Hawking temperature beta, for the Killing evolution associated with a class of stationary quantum black holes in terms of a boundedness property, namely the localized state vectors should have energy density levels decreasing beta-exponentially. In particular, for a Haag-Kastler net on the Minkowski spacetime, the boundedness property for the boosts (in the Rindler wedge) is shown to be equivalent to the Bisognano-Wichmann property. In general, the boundedness condition is equivalent to a holomorphic property closely related to the one recently considered by Ruelle and D'Antoni-Zsido and shared by a natural class of non-equilibrium steady states.

Date received: June 13, 2000