Summing Planar Diagrams by an Integrable Bootstrap II

TL;DR

This paper derives exact form factors and correlation functions for the large-N principal chiral sigma model in 1+1 dimensions, advancing the understanding of its integrable structure and correlation behavior.

Contribution

It provides explicit formulas for form factors and correlation functions, extending previous work on the integrable bootstrap approach for this model.

Findings

Explicit form factors for the renormalized field U(x)

Exact formulas for Wightman and time-ordered correlation functions

Enhanced understanding of the model's integrable structure

Abstract

We continue our investigation of correlation functions of the large-N (planar) limit of the (1+1)-dimensional principal chiral sigma model, whose bare field U(x) lies in the fundamental matrix representation of SU(N). We find all the form factors of the renormalized field. An exact formula for Wightman and time-ordered correlation functions is found.