Holographic description of large N gauge theory

TL;DR

This paper derives a holographic dual for large N lattice gauge theories, resulting in a (D+1)-dimensional lattice loop field theory that is well-defined non-perturbatively and simplifies at large N.

Contribution

It presents a first-principles derivation of a holographic dual for D-dimensional lattice gauge theory, introducing a lattice loop field theory framework.

Findings

The lattice loop field theory is well-defined non-perturbatively.

It becomes weakly coupled and local at large N with large 't Hooft coupling.

Provides a new non-perturbative approach to gauge theories.

Abstract

Based on the earlier work [S.-S. Lee, Nucl. Phys. B 832, 567 (2010)], we derive a holographic dual for the D-dimensional U(N) lattice gauge theory from a first principle construction. The resulting theory is a lattice field theory of closed loops, dubbed as lattice loop field theory which is defined on a (D+1)-dimensional space. The lattice loop field theory is well defined non-perturbatively, and it becomes weakly coupled and local in the large N limit with a large 't Hooft coupling.