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 (arXiv:2103.15188), 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.
Conclusions:
- We have modeled the infrared (IR) dynamics of confining gauge theories in a Randall-Sundrum (RS)-like setup by modifying the stabilizing Goldberger-Wise (GW) potential.
- The modified potential becomes large in the IR and back-reacts on the geometry.
- We have studied the high-temperature phase by considering a black brane background and calculating the entropy and free energy of the strongly back-reacted solution.
- Similar to Buchel’s result for the conifold, we have found a minimum temperature beyond which the black brane phase is thermodynamically unstable.
- Our results suggest that the amount of supercooling that the metastable black brane phase undergoes can be limited in the context of a phase transition to the confining background.
- Our results also suggest that the first-order phase transition and the associated gravitational waves from bubble collision are not universal.
- These findings have important phenomenological implications for early universe model building in these scenarios.
Future Roadmap:
Based on these conclusions, readers can expect several future research directions and potential developments:
1. Further Investigation of IR Dynamics:
Researchers may continue to explore and refine the modeling of IR dynamics in confining gauge theories using the modified stabilizing Goldberger-Wise potential. This could involve studying different variations of the potential and evaluating their impact on the back-reaction on the geometry.
2. Study of Phase Transitions:
There is potential for future research on the phase transitions from the black brane phase to the confining background. The suggested limitation on supercooling in this transition opens up avenues for understanding and manipulating the thermodynamic behavior of the system. Exploring the nature of this phase transition in various scenarios and its implications for early universe model building could be a fruitful area of investigation.
3. Understanding Non-Universality:
The observation that the first-order phase transition and the associated gravitational waves from bubble collision are not universal invites further exploration. Researchers might delve into the factors that contribute to this non-universality and investigate how it affects the overall behavior of the system. This could involve studying different gauge theories, modifications to the potential, or alternative setups.
4. Phenomenological Implications:
Considering the important phenomenological implications highlighted in the article, future research might focus on understanding the practical consequences and applications of these findings. This could involve exploring how these results impact early universe model building and cosmological scenarios, and how they align with observational data or experimental observations.
Potential Challenges and Opportunities:
While there are exciting prospects for future research based on the conclusions of this study, there are also some challenges and opportunities to consider:
- Complexity of Calculations: Further investigations may involve complex calculations and theoretical analyses, requiring advanced mathematical techniques and computational resources.
- Data and Observational Constraints: The phenomenological implications of these findings may need to be compared and reconciled with observational data and experimental constraints, which can present challenges in terms of validating or refining the models.
- Diverse Theoretical Approaches: Researchers might need to explore various theoretical approaches, alternative gauge theories, and different setups to fully understand and explore the non-universality and other novel phenomena arising from this study.
- Interdisciplinary Collaboration: Given the potential implications for early universe model building and cosmology, interdisciplinary collaborations between theoretical physicists, cosmologists, and observational astronomers could be valuable to fully explore and apply these findings.
In conclusion, the study’s conclusions open up exciting avenues for future research in understanding the IR dynamics of confining gauge theories, studying phase transitions, investigating non-universality, and exploring the phenomenological implications. However, researchers should be prepared to tackle challenges such as complex calculations, data constraints, diverse theoretical approaches, and the need for interdisciplinary collaborations.