Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes

Abstract

Using the boundary state formalism and thermo field dynamics approach, we study a D$p$-brane at finite temperature in which the background Kalb-Ramond field, a $U(1)$ gauge potential, and tachyon field are turned on together with a general tangential dynamics. The thermal entropy of the brane will be studied. In addition, the behavior of the entropy after the tachyon condensation process will be investigated and some thermodynamic interpretations will be extracted.