Boost invariant regulator for field theories

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.

Numerical results added. arXiv admin note: text overlap with arXiv:1701.04068

References in corpus (4)

• Classical and quantum stability of higher-derivative dynamics
• Classical and quantum effective theories
• Stability and causality of multi-local theories
• Path integral regularization of pure Yang-Mills theory

Cited by in corpus (3)

• The Abraham-Lorentz force and electrodynamics at the classical electron radius
• On the Lorentz symmetry in conformally reduced Quantum Gravity
• Wilsonian renormalisation group and thermal field theory in the Schwinger-Keldysh closed-time-path formalism