Asymptotic factorisation of form factors in two-dimensional quantum field theory

TL;DR

This paper demonstrates that in two-dimensional quantum field theories, scaling operators' form factors exhibit a simple asymptotic factorization in rapidity space, aiding their identification and dimension determination.

Contribution

It introduces a novel asymptotic factorization property of form factors and a sum rule for scaling dimensions in two-dimensional quantum field theories.

Findings

Form factors obey a simple asymptotic factorization in rapidity space.

The factorization property helps identify operators within the bootstrap approach.

A sum rule for the scaling dimension of operators is derived.

Abstract

It is shown that the scaling operators in the conformal limit of a two-dimensional field theory have massive form factors which obey a simple factorisation property in rapidity space. This has been used to identify such operators within the form factor bootstrap approach. A sum rule which yields the scaling dimension of such operators is also derived.