A Candidate For The QCD String Based On Non-Backtracking Random Walks

TL;DR

This paper proposes a novel string theory model for large N QCD based on non-backtracking random walks, incorporating lattice and fermionic variables, aiming for a conformally invariant fixed point via renormalization group analysis.

Contribution

It introduces a new string theory model constrained by non-backtracking conditions, connecting lattice formulations with continuum limits and conformal invariance in QCD.

Findings

Non-backtracking condition ensures gauge invariance.

Lattice formulation with fermionic variables on the world sheet.

Potential for a conformally invariant fixed point through RG flow.

Abstract

A new string theory is proposed as a candidate for the large N limit of QCD. In this theory, strings are constrained to be non-backtracking; a condition that is essential for the gauge invariance of the underlying field theory.This condition is implemented by first placing the theory on a lattice and then introducing fermionic variables on the world sheet. The naive continuum limit leads to a generalized Thirring model on the world sheet,and it is suggested that the application of the renormalization group should drive the coupling constants to a conformally invariant fixed point.