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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Acknowledgments
We would like to thank A. Bedroya, I. Bena, A. Buchel, A. Cherman, H. Geng, I. Klebanov, A. Pomarol, M. Reece, M. Strassler and R. Sundrum for useful discussions. We also thank A. Dersy and X. Zhang for useful discussions on the numerical aspects. The work of RKM and LR is supported by the National Science Foundation under Grant Nos. PHY-1620806, PHY-1748958 and PHY-1915071, the Chau Foundation HS Chau postdoc award, the Kavli Foundation grant “Kavli Dream Team”, and the Moore Foundation Award 8342. Part of this work was completed at Aspen Center for Physics, which is supported by National Science Foundation grant PHY-2210452.
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Mishra, R.K., Randall, L. Phase transition to RS: cool, not supercool. J. High Energ. Phys. 2024, 99 (2024). https://doi.org/10.1007/JHEP06(2024)099
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DOI: https://doi.org/10.1007/JHEP06(2024)099