Correlation Functions of the SU(infinity) Principal Chiral Model

TL;DR

This paper derives exact form factors and vacuum expectation values for key operators in the SU(infinity) principal chiral model, advancing understanding of its correlation functions in the large N limit.

Contribution

It provides the first explicit calculation of form factors and vacuum expectation values for the SU(infinity) principal chiral model using an integrable bootstrap approach.

Findings

Exact form factors of Noether current and stress-energy tensor obtained.

Vacuum expectation values of operator products calculated.

Results applicable to understanding correlation functions in large N limit.

Abstract

We obtain exact matrix elements of physical operators of the (1+1)-dimensional nonlinear sigma model of an SU(N)-valued bare field, in the 't Hooft limit N goes to infinity. Specifically, all the form factors of the Noether current and the stress-energy-momentum tensor are found with an integrable bootstrap method. These form factors are used to find vacuum expectation values of products of these operators.