O(1/N^3) Conformal Bootstrap Solution of the SU(2) x SU(2) Nambu--Jona-Lasinio Model

TL;DR

This paper derives an analytic expression for the anomalous dimension of fermions at order 1/N^3 in the SU(2) x SU(2) Nambu--Jona-Lasinio model using the conformal bootstrap method, advancing theoretical understanding.

Contribution

It provides the first analytic conformal bootstrap solution for the Nambu--Jona-Lasinio model at this order in large N expansion.

Findings

Analytic expression for fermion anomalous dimension at O(1/N^3)

Extension of conformal bootstrap to Nambu--Jona-Lasinio model

Results applicable in arbitrary dimensions

Abstract

Using the full conformal bootstrap method an analytic expression is given in d-dimensions for the anomalous dimension of the fermion at O(1/N^3) in a large N expansion of the Nambu--Jona-Lasinio model with SU(2) x SU(2) continuous chiral symmetry.