Computation of Critical Exponent \eta at O(1/N^3) in the Four Fermi Model in Arbitrary Dimensions

TL;DR

This paper computes the fermion anomalous dimension at third order in 1/N for the four Fermi (Gross Neveu) model across various dimensions using conformal bootstrap equations.

Contribution

It provides a novel calculation of the critical exponent ta at O(1/N^3) in arbitrary dimensions for the four Fermi model, advancing theoretical understanding.

Findings

Derived the fermion anomalous dimension at O(1/N^3)

Extended conformal bootstrap solutions to arbitrary dimensions

Enhanced precision in critical exponent calculations

Abstract

We solve the conformal bootstrap equations of the four fermi model or $O(N)$ Gross Neveu model to deduce the fermion anomalous dimension of the theory at $O(1/N^3)$ in arbitrary dimensions.