Boost invariant regulator for field theories
High Energy Physics - Theory
2019-02-21 v2
Abstract
It is shown that by imposing the relativistic symmetries on the cutoff in field theories one rules out all known non-perturbative regulators except the point splitting. The relativistic cutoff dynamics is non-local in time and thereby unstable, bringing the very existence of relativistic field theory into question. It is argued within the context of a scalar field theory model that the combination of the point splitting with a sufficiently fast suppression in the field amplitude may lead to stable semiclassical dynamics and to a new kind of realistic vacuum structure.
Cite
@article{arxiv.1803.09292,
title = {Boost invariant regulator for field theories},
author = {Janos Polonyi},
journal= {arXiv preprint arXiv:1803.09292},
year = {2019}
}
Comments
Numerical results added. arXiv admin note: text overlap with arXiv:1701.04068