Noncommutative Tachyon from Background Independent Open String Field Theory

TL;DR

This paper investigates the behavior of the tachyon field in bosonic open string theory with a background B-field, revealing that in the large noncommutativity limit, the action simplifies to a potential form with a star product.

Contribution

It demonstrates that the tachyon action in a B-field background reduces to a potential term with a star product in the large noncommutativity limit, extending previous understanding.

Findings

Tachyon action simplifies to a potential in the large noncommutativity limit.

The form of the potential remains the same as in the B-field-free case.

The product of tachyon fields becomes a star product under these conditions.

Abstract

We analyze the tachyon field in the bosonic open string theory in a constant B-field background using the background independent open string field theory. We show that in the large noncommutativity limit the action of tachyon field is given exactly by the potential term which has the same form as in the case without B-field but the product of tachyon field is taken to be the star product.