Reflection positivity in higher derivative scalar theories
High Energy Physics - Theory
2018-08-29 v1 Mathematical Physics
math.MP
Abstract
Reflection positivity constitutes an integral prerequisite in the Osterwalder-Schrader reconstruction theorem which relates quantum field theories defined on Euclidean space to their Lorentzian signature counterparts. In this work we rigorously prove the violation of reflection positivity in a large class of free scalar fields with a rational propagator. This covers in particular higher-derivative theories where the propagator admits a partial fraction decomposition as well as degenerate cases including e.g. p^4 -type propagators.
Cite
@article{arxiv.1712.04308,
title = {Reflection positivity in higher derivative scalar theories},
author = {Francesca Arici and Daniel Becker and Chris Ripken and Frank Saueressig and Walter D. van Suijlekom},
journal= {arXiv preprint arXiv:1712.04308},
year = {2018}
}
Comments
9 pages, 1 figure