Intersecting D-brane Stacks and Tachyons at Finite Temperature

TL;DR

This paper extends the analysis of intersecting D-branes at finite temperature by computing one-loop two-point amplitudes for D3-branes, aiming to connect with holographic models of superconductivity and incorporate complex gauge group structures.

Contribution

It generalizes previous finite-temperature D-brane studies to multiple intersecting stacks of D3-branes, including detailed color factor analysis and implications for holographic BCS models.

Findings

Embedded previous results into a more general D-brane setup.

Analyzed the impact of unbroken gauge groups on amplitude calculations.

Discussed challenges in extending to multiple intersecting brane stacks.

Abstract

In arXiv:1403.0389 and arXiv:1610.07140 intersecting $D$-branes in flat space were studied at finite temperature in the Yang-Mills approximation. The one-loop correction to the tachyon mass was computed and the critical temperature at which the tachyon becomes massless was obtained numerically. In this paper we extend the computation of one-loop two-point amplitude to the case of intersecting stacks of $D3$-branes in flat space. The motivation for this calculation is to study the strong coupling holographic BCS model proposed in arXiv:1104.2843 at finite temperature. We show that the analytical results of arXiv:1403.0389 and arXiv:1610.07140 can be embedded into this more general setup. The main technicality involved here is keeping track of the extra color factors coming from the unbroken gauge groups. We further discuss the issues involved in the computation of two point amplitude for case of multiple intersecting stacks of branes.