Quantum vacuum effects for a massive Bosonic string in background B-field

TL;DR

This paper investigates how a background B-field influences the Casimir effect and ground-state mass of a massive bosonic string, revealing conditions for stable, non-tachyonic ground states.

Contribution

It provides a detailed analysis of the B-field's impact on the Casimir energy and ground-state mass of a bosonic string, including the emergence of non-tachyonic states at high B-fields.

Findings

Casimir energy depends on B-field and string mass

B-field correction stabilizes the string's ground state

High B-field leads to non-tachyonic ground states

Abstract

We study the Casimir effect for a bosonic string extended between D-branes, and living in a flat space with an antisymmetric background B-field. We find the Casimir energy as a function of theB-field, and the mass-parameter of the string, and accordingly we obtain a B-dependence correction term to the ground-state mass of the string. We show that for sufficiently large B-field, the ground state of the string contains real (i.e. non-Tachyonic) particles.