Dynamics of a Higgs phase transition in the Klebanov-Witten theory

TL;DR

This paper investigates the dynamics of a first-order Higgs phase transition in the strongly coupled Klebanov-Witten gauge theory using holographic duality, computing nucleation rates and wall speeds from string theory principles.

Contribution

It provides the first detailed calculation of phase transition dynamics in the Klebanov-Witten theory via holography, including nucleation rates and wall velocities.

Findings

Nucleation rates favor increased asymmetry at lower temperatures.

Wall speeds remain below the conformal plasma's speed of sound.

Transition dynamics depend nonlinearly on energy differences.

Abstract

We study the dynamics of a first-order phase transition in a strongly coupled gauge theory at non-zero temperature and chemical potential, computing nucleation rates and wall speeds from first principles. The gauge theory is the four-dimensional superconformal SU(N)xSU(N) Klebanov-Witten theory, which at low temperatures displays an instability to forming scalar condensates that higgses the theory. The computation is made possible by utilizing the gravity dual, type IIB string theory on asymptotically AdS_5xT^{1,1} spacetimes. The instability is detected through the nucleation and subsequent localization of D-branes in the bulk, which in the probe limit is amenable to calculations. The nucleation rates suggest a preference for greater asymmetry between the two gauge groups as the temperature is lowered beyond its critical value. The wall speed stays below the speed of sound of the conformal plasma across all parameter values and exhibits nonlinear dependence on the energy difference between the two phases.