The Casimir effect and mass renormalization for a massive Bosonic string in background B-field

TL;DR

This paper investigates the Casimir effect for a massive bosonic string in a background B-field, analyzing energy, force, and mass renormalization, revealing that the force is independent of the B-field.

Contribution

It provides a detailed calculation of the Casimir energy and force for a massive bosonic string with a novel approach to mass renormalization in the presence of a B-field.

Findings

Casimir energy depends on string mass and length

Casimir force is independent of B-field

Divergent vacuum energy can be renormalized

Abstract

We study the Casimir effect for a massive bosonic string terminating on D-brains, and living in a flat space with an antisymmetric background B-field. We find the Casimir energy and Casimir force as functions of the mass and length of the string and show the force does not depend on B-field. We also find the divergent part of the vacuum state energy, as a function of the mass and length of the string and offer an idea for renormalization of the mass of the string.