String from Large N Gauge Fields via Graph Summation on a P+ - x+ Lattice

TL;DR

This paper explores a discretized approach to summing planar diagrams in large N_c QCD, aiming to understand how string theory might emerge at strong coupling and its potential duality with QCD in light-cone gauge.

Contribution

The authors develop a discretization method for P+ and x+ to analyze the strong coupling limit of planar diagrams, facilitating the study of QCD-string duality.

Findings

Discretization enables defining a strong coupling sum of planar diagrams.

Framework supports exploring QCD-string duality in light-cone gauge.

Potential insights into string emergence from large N_c QCD at strong coupling.

Abstract

I describe renewed efforts to establish a string description of large N_c QCD by summing large ``fishnet'' diagrams. Earlier work on fishnets indicated that the usual relativistic (zero thickness) string theory can arise at strong 't Hooft coupling, at best yielding a highly idealized description, which fails to incorporate such salient features of continuum QCD as asymptotic freedom and point-like constituents. The recently conjectured AdS/CFT correspondence is compatible with such limitations because it also gives a simple picture of large N_c gauge theory only at strong coupling. In order to better understand how string theory could emerge from large N_c QCD at strong coupling, Klaus Bering, Joel Rozowsky, and I have developed an improved implementation of my effort of the late seventies to digitize the planar diagrams of large N_c light-cone quantized QCD by discretizing both P+ and x+. This discretization allows a strong coupling limit of the sum of planar diagrams to be defined and studied. It also provides a natural framework to explore the possible dual relationship between QCD in light-cone gauge and string theory quantized on the light-cone.