Bubble wall velocity at strong coupling

Abstract

Abstract Using the holographic correspondence as a tool, we determine the steady-state velocity of expanding vacuum bubbles nucleated within chiral finite temperature first-order phase transitions occurring in strongly coupled large N QCD-like models. We provide general formulae for the friction force exerted by the plasma on the bubbles and for the steady-state velocity. In the top-down holographic description, the phase transitions are related to changes in the embedding of Dq ‐ D ¯ q $$ Dq\hbox{-} \overline{D}q $$ flavor branes probing the black hole background sourced by a stack of N Dp-branes. We first consider the Witten-Sakai-Sugimoto D 4 ‐ D 8 ‐ D ¯ 8 $$ D4\hbox{-} D8\hbox{-} \overline{D}8 $$ setup, compute the friction force and deduce the equilibrium velocity. Then we extend our analysis to more general setups and to different dimensions. Finally, we briefly compare our results, obtained within a fully non-perturbative framework, to other estimates of the bubble velocity in the literature.

Keywords

• Gauge-gravity correspondence
• AdS-CFT Correspondence
• D-branes