Brane-Antibrane Systems at Finite Temperature and Phase Transition near the Hagedorn Temperature

TL;DR

This paper investigates the thermodynamic behavior of brane-antibrane systems at finite temperature, revealing a phase transition near the Hagedorn temperature specifically for D9-antiD9 pairs, and discusses implications for string theory phase transitions.

Contribution

It provides a detailed analysis of the finite temperature effective potential for brane-antibrane pairs, identifying conditions under which phase transitions occur near the Hagedorn temperature.

Findings

Phase transition occurs near the Hagedorn temperature for D9-antiD9 pairs.

No phase transition occurs for lower-dimensional brane-antibrane pairs.

D9-antiD9 pairs are preferentially created near the Hagedorn temperature.

Abstract

In order to study the thermodynamic properties of brane-antibrane systems, we compute the finite temperature effective potential of tachyon T in this system on the basis of boundary string field theory. At low temperature, the minimum of the potential shifts towards T=0 as the temperature increases. In the D9-antiD9 case, the sign of the coefficient of |T|^2 term of the potential changes slightly below the Hagedorn temperature. This means that a phase transition occurs near the Hagedorn temperature. On the other hand, the coefficient is kept negative in the Dp-antiDp case with p <= 8, and thus a phase transition does not occur. This leads us to the conclusion that only a D9-antiD9 pair and no other (lower dimensional) brane-antibrane pairs are created near the Hagedorn temperature. We also discuss a phase transition in NS9B-antiNS9B case as a model of the Hagedorn transition of closed strings.