Journal of High Energy Physics (Jun 2024)

Phase transition to RS: cool, not supercool

  • Rashmish K. Mishra,
  • Lisa Randall

DOI
https://doi.org/10.1007/JHEP06(2024)099
Journal volume & issue
Vol. 2024, no. 6
pp. 1 – 40

Abstract

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Abstract Motivated by the warped conifold compactification, we model the infrared (IR) dynamics of confining gauge theories in a Randall-Sundrum (RS)-like setup by modifying the stabilizing Goldberger-Wise (GW) potential so that it becomes large (in magnitude) in the IR and back-reacts on the geometry. We study the high-temperature phase by considering a black brane background in which we calculate the entropy and free energy of the strongly back-reacted solution. As with Buchel’s result for the conifold [1], we find a minimum temperature beyond which the black brane phase is thermodynamically unstable. In the context of a phase transition to the confining background, our results suggest that the amount of supercooling that the metastable black brane phase undergoes can be limited. It also suggests the first-order phase transition (and the associated gravitational waves from bubble collision) is not universal. Our results therefore have important phenomenological implications for early universe model building in these scenarios.

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