Scale Invariance of Dirac Condition $g_e g_m = 1$ in Type 0 String Approach to Gauge Theory

TL;DR

This paper explores the scale invariance of the Dirac quantization condition in a non-supersymmetric gauge theory derived from Type 0 string theory, highlighting its logarithmic behavior and UV properties.

Contribution

It demonstrates the scale invariance of the Dirac condition $g_e g_m = 1$ within a Type 0 string framework, connecting gravity solutions to gauge theory coupling behaviors.

Findings

Logarithmic renormalization of gauge coupling $g_e$ from quark-antiquark potential.

Effective monopole coupling $g_m$ exhibits zero-charge behavior.

Dirac condition $g_e g_m = 1$ remains scale invariant in logarithmic approximation.

Abstract

In this letter we shall discuss a description of non-supersymmetric four-dimensional Yang-Mills theory based on Type 0 strings recently proposed by Klebanov and Tseytlin. The three brane near-horizon geometry allows one to study the UV behaviour of the gauge theory. Following Minahan and Klebanov and Tseytlin we shall discuss how the gravity solution reproduces logarithmic renormalization of coupling constant $g_e$ extracted from quark-antiquark potential and then show that effective coupling constant $g_m$ describing monopole-antimonopole interactions is of zero-charge type and Dirac condition $g_e g_m = 1$ is scale invariant in logarithmic approximation.