Finite Temperature Corrections to Tachyon Mass in Intersecting D-Branes

TL;DR

This paper calculates finite temperature corrections to the tachyon mass in intersecting D3-branes, demonstrating the finiteness of the one-loop amplitude and numerically estimating the transition temperature where the tachyon becomes massless.

Contribution

It extends previous analyses to intersecting D3-branes, providing explicit finite temperature corrections and transition temperature estimates within a simplified holographic model.

Findings

The one-loop tachyon amplitude is finite.

Transition temperature at which tachyon becomes massless is numerically computed.

Analytic results unify with those for D1- and D2-branes.

Abstract

We continue with the analysis of finite temperature corrections to the Tachyon mass in intersecting branes which was initiated in arxiv:1403.0389. In this paper we extend the computation to the case of intersecting D3-branes by considering a setup of two intersecting branes in flat-space background. A holographic model dual to BCS superconductor consisting of intersecting D8-branes in D4-brane background was proposed in arxiv:1104.2843. The background considered here is a simplified configuration of this dual model. We compute the one-loop Tachyon amplitude in the Yang-Mills approximation and show that the result is finite. Analyzing the amplitudes further we numerically compute the transition temperature at which the Tachyon becomes massless. The analytic expressions for the one-loop amplitudes obtained here reduce to those for intersecting D1-branes obtained in arxiv:1403.0389 as well as those for intersecting D2-branes.