Adiabatic Ground States in Non-Smooth Spacetimes
Mathematical Physics
2023-08-09 v1 math.MP
Abstract
Ground states are a well-known class of Hadamard states in smooth spacetimes. In this paper we show that the ground state of the Klein-Gordon field in a non-smooth ultrastatic spacetime is an adiabatic state. The order of the state depends linearly on the regularity of the metric. We obtain the result by combining microlocal estimates for the causal propagator, propagation of singularities results for non-smooth pseudodifferential operators, and eigenvalue asymptotics for elliptic operators of low regularity.
Keywords
Cite
@article{arxiv.2207.01429,
title = {Adiabatic Ground States in Non-Smooth Spacetimes},
author = {Yafet Sanchez Sanchez and Elmar Schrohe},
journal= {arXiv preprint arXiv:2207.01429},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2203.04362