Particle decay in Ising field theory with magnetic field

TL;DR

This paper explores particle decay within the Ising field theory under magnetic fields, offering insights into non-trivial phenomena like symmetry breaking and providing a testing ground for numerical methods studying unstable particles.

Contribution

It introduces the Ising field theory as a simple model for particle decay, enabling tests of numerical methods for unstable particles in quantum field theories.

Findings

Decay widths computed in the model

Tested numerical methods for unstable particles

Illustrated phenomena like symmetry breaking

Abstract

The scaling limit of the two-dimensional Ising model in the plane of temperature and magnetic field defines a field theory which provides the simplest illustration of non-trivial phenomena such as spontaneous symmetry breaking and confinement. Here we discuss how Ising field theory also gives the simplest model for particle decay. The decay widths computed in this theory provide the obvious test ground for the numerical methods designed to study unstable particles in quantum field theories discretized on a lattice.