Yang-Mills Correlation Functions from Integrable Spin Chains

TL;DR

This paper demonstrates how integrable spin chain techniques can be used to compute correlation functions in N=4 Yang-Mills theory, extending the connection between gauge theory and integrable models.

Contribution

It introduces a method to calculate Yang-Mills correlation functions using spin chain matrix elements, providing a new computational approach.

Findings

Successfully expressed correlation functions as spin chain matrix elements

Applied the method to SU(2) sector with XXX_1/2 chain

Validated the approach with explicit examples

Abstract

The relation between the dilatation operator of N=4 Yang-Mills theory and integrable spin chains makes it possible to compute the one-loop anomalous dimensions of all operators in the theory. In this paper we show how to apply the technology of integrable spin chains to the calculation of Yang-Mills correlation functions by expressing them in terms of matrix elements of spin operators on the corresponding spin chain. We illustrate this method with several examples in the SU(2) sector described by the XXX_1/2 chain.