One-loop Correction and the Dilaton Runaway Problem

TL;DR

This paper analyzes the one-loop vacuum structure in string-inspired models with gaugino condensation, highlighting how quantum corrections influence the dilaton's behavior and potentially address the runaway problem.

Contribution

It introduces a detailed one-loop analysis including the dilaton Kähler potential correction and a chiral field formulation, providing new insights into supersymmetry breaking and dilaton stabilization.

Findings

Supersymmetry is broken by gaugino condensation.

Dilaton and gaugino bilinear fields acquire masses at the condensation scale.

Quantum corrections may be crucial for solving the dilaton runaway problem.

Abstract

We examine the one-loop vacuum structure of an effective theory of gaugino condensation coupled to the dilaton for string models in which the gauge coupling constant does not receive string threshold corrections. The new ingredients in our treatment are that we take into account the one-loop correction to the dilaton K\"ahler potential and we use a formulation which includes a chiral field $H$ corresponding to the gaugino bilinear. We find through explicit calculation that supersymmetry in the Yang-Mills sector is broken by gaugino condensation. The dilaton and $H$ field have masses on the order of the gaugino condensation scale independently of the dilaton VEV. Although the calculation performed here is at best a model of the full gaugino condensation dynamics, the result shows that the one-loop correction to the dilaton K\"ahler potential as well as the detailed dynamics at the gaugino condensation scale may play an important role in solving the dilaton runaway problem.