# Decay Properties of the Vacuum and Thermal Two-Point Functions in Curved Spacetimes for a Massive Interacting Scalar Field

LQP 36 Foundations and Constructive Aspects of Quantum Field Theory

Samuel Rutili on May 30, 2015

Rutili.pdf

Samuel Rutili on May 30, 2015

Rutili.pdf

In this talk I will discuss the main problems in building a consistent AQFT in Schwarzschild spacetime for a thermal system ruled by an interacting and massive scalar field, extending the methods and the results of Fredenhagen and Lindner. In particular I will focus on the decay rate of the vacuum two-point function along spatial directions, showing that, despite the non vanishing curvature, a KMS state for the interacting system can be constructed. Eventually I will comment on the applicability of this scheme to generic, stationary, asymptotically Minkowskian spacetimes. Joint work with Claudio Dappiaggi.