Tachyon Potential in a Magnetic Field with Anomalous Dimensions

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.