Tachyon Potential in a Magnetic Field with Anomalous Dimensions

TL;DR

This paper explores how noncommutative gauge theory products interpolate tachyon potentials between different B-field regimes, using boundary string field theory to incorporate anomalous dimensions into the effective action.

Contribution

It introduces a method to compute deformed tachyon potentials accounting for anomalous dimensions within boundary string field theory.

Findings

Interpolation between tachyon potentials at different B-fields

Deformation of noncommutative tachyon potential by anomalous dimensions

Application of boundary string field theory techniques

Abstract

Products defined in the context of noncommutative gauge theory allow for an interpolation between exact results on tachyon potentials at zero and large background B-fields. Techniques for computations of effective actions are transposed from the framework of gauge theory to the framework of boundary string field theory, resulting in deformations of the noncommutative tachyon potential by anomalous dimensions.