Isomorphism of critical and off-critical operator spaces in two-dimensional quantum field theory

TL;DR

This paper demonstrates that in the Lee-Yang model, the operator space defined by particle dynamics in the massive phase matches the one determined by conformal symmetry at criticality, revealing an isomorphism.

Contribution

It establishes an isomorphism between critical and off-critical operator spaces in a two-dimensional quantum field theory, specifically the Lee-Yang model.

Findings

Operator spaces coincide in the Lee-Yang model

Massive phase operator space matches critical conformal space

Supports the universality of operator structures across phases

Abstract

For the simplest quantum field theory originating from a non-trivial fixed point of the renormalization group, the Lee-Yang model, we show that the operator space determined by the particle dynamics in the massive phase and that prescribed by conformal symmetry at criticality coincide.