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arXiv · 1803.09292

Boost invariant regulator for field theories

Janos Polonyi
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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.

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Janos Polonyi. 2018-03-25. Boost invariant regulator for field theories. https://doi.org/10.1142/s0217751x19500179

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