The time slice axiom in perturbative quantum field theory on globally hyperbolic spacetimes
Mathematical Physics
2009-03-20 v3 math.MP
Abstract
The time slice axiom states that the observables which can be measured within an arbitrarily small time interval suffice to predict all other observables. While well known for free field theories where the validity of the time slice axiom is an immediate consequence of the field equation it was not known whether it also holds in generic interacting theories, the only exception being certain superrenormalizable models in 2 dimensions. In this paper we prove that the time slice axiom holds at least for scalar field theories within formal renormalized perturbation theory.
Keywords
Cite
@article{arxiv.0802.1642,
title = {The time slice axiom in perturbative quantum field theory on globally hyperbolic spacetimes},
author = {Bruno Chilian and Klaus Fredenhagen},
journal= {arXiv preprint arXiv:0802.1642},
year = {2009}
}
Comments
14 pages, 1 figure, added reference for introduction, corrected typos, corrected a mistake in the proof in section 3