Spectral Representation of Correlation Functions in two-dimensional Quantum Field Theories

TL;DR

This paper explores the use of the Form Factor approach to analyze correlation functions in two-dimensional quantum field theories, focusing on non-perturbative mappings and ultraviolet data in massive integrable models.

Contribution

It introduces a method for computing ultraviolet data in massive 2D QFTs using spectral representations and form factors, with applications to boundary Ising models.

Findings

Successful computation of ultraviolet data in boundary Ising model

Demonstration of spectral representation techniques in 2D QFTs

Insights into non-perturbative mappings between theories

Abstract

The non-perturbative mapping between different Quantum Field Theories and other features of two-dimensional massive integrable models are discussed by using the Form Factor approach. The computation of ultraviolet data associated to the massive regime is illustrated by taking as an example the scattering theory of the Ising Model with boundary.