Running anti-de Sitter radius from QCD-like strings

TL;DR

This paper investigates a bosonic QCD-like string model with non-Gaussian propagators, demonstrating how quantum effects induce a dynamically running AdS${}_5$ radius, linking high-energy limits to holography.

Contribution

It introduces a QCD-like string model with $1/p^{2}$ propagators and shows quantum effects generate a dynamic, running AdS${}_5$ radius, connecting high-energy limits to holography.

Findings

Quantum effects produce a dynamically varying AdS${}_5$ radius.

The model exhibits a high-energy limit corresponding to the projective light-cone.

Holography emerges dynamically from the quantum behavior of the string model.

Abstract

We consider renormalization effects for a bosonic QCD-like string, whose partons have $1/p^{2}$ propagators instead of Gaussian. Classically this model resembles (the bosonic part of) the projective light-cone (zero-radius) limit of a string on an AdS${}_5$ background, where Schwinger parameters give rise to the fifth dimension. Quantum effects generate dynamics for this dimension, producing an AdS${}_5$ background with a running radius. The projective light-cone is the high-energy limit: Holography is enforced dynamically.