Quantum Corrections to Randall-Sundrum Model from JT Gravity Enable Analysis of Cosmology and Phase Transitions
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The Randall-Sundrum model proposes extra spatial dimensions to address fundamental problems in particle physics, but understanding quantum effects within this framework remains a significant challenge. Ying-Jian Chen and Jun Nian, from the International Centre for Theoretical Physics Asia-Pacific, University of Chinese Academy of Sciences, now investigate these quantum corrections by incorporating insights from Jackiw-Teitelboim gravity, a simplified theory of gravity that captures essential quantum behaviour. Their work reveals how these corrections modify the mass spectrum of Kaluza-Klein modes, particles arising from the extra dimensions, and crucially, impacts the Goldberger-Wise mechanism, a process responsible for generating the masses of standard model particles. By introducing both quantum corrections and temperature effects into the Randall-Sundrum model, this research offers new perspectives on cosmology and the nature of phase transitions in the early universe. The research focuses on understanding how quantum effects modify the predictions of the RS model, a theoretical framework designed to address the hierarchy problem in particle physics by proposing the existence of extra spatial dimensions.
The team analyses the behaviour of gravity in the presence of a black brane, a higher-dimensional analogue of a black hole, and incorporates quantum fluctuations to calculate corrections to various physical quantities. This provides insights into the interplay between gravity and quantum mechanics in a curved spacetime, contributing to a deeper understanding of the quantum properties of gravity and potentially offering new perspectives on the nature of spacetime itself. The research utilises Jackiw-Teitelboim gravity to describe the geometry near the black brane horizon, employing the Schwarzian action to govern the quantum fluctuations.
The team introduces Schwarzian modes into the Randall-Sundrum metric, subsequently deriving the quantum-corrected equation for Kaluza-Klein (KK) modes via the Schwinger-Dyson equation. These calculations determine the correction to the KK mass spectrum, providing a refined understanding of these fundamental particles. This methodology allows for a detailed investigation of quantum effects within a specific gravitational framework, advancing theoretical knowledge of spacetime and particle physics.
Quantum Gravity Impacts Randall-Sundrum Extra Dimensions This paper investigates how quantum gravity effects, specifically those arising from fluctuations near the horizon of a black brane, impact the Randall-Sundrum (RS) model of extra dimensions. The authors aim to understand if and how these quantum corrections affect the viability of the RS model as a solution to the hierarchy problem, and explore the implications for the Goldberger-Wise mechanism, which stabilizes the extra dimensions. They utilise insights from Jackiw-Teitelboim (JT) gravity, a simplified model of 2D gravity, to approximate the quantum fluctuations near the black brane horizon and then incorporate these corrections into the RS model. The research begins by modelling quantum corrections, using JT gravity to calculate the effects of quantum fluctuations near the black brane horizon. These corrections are then incorporated into the RS model’s metric, modifying the geometry of the extra dimension.
The team then calculates how the quantum corrections affect the Kaluza-Klein (KK) mass spectrum, as these KK modes mediate interactions between our universe and the extra dimensions. Changes in the KK mass spectrum can alter the physics observed in our universe.
The team demonstrates that the Goldberger-Wise mechanism remains viable, even with the inclusion of quantum corrections, although some fine-tuning of parameters may be necessary. This finding is crucial, as it suggests that the extra dimension can still be stabilized. This work provides a framework for incorporating quantum gravity effects into braneworld models, offering a more realistic understanding of these models and supporting the idea that braneworld models could be a viable solution to the hierarchy problem. The research also highlights the connection between black holes and extra dimensions, opening avenues for further investigation. In simpler terms, imagine the RS model as a trampoline representing our universe embedded in a larger space. The authors investigate what happens if the fabric of the larger space has tiny quantum ripples. They find that these ripples don’t necessarily destroy the trampoline but might require some adjustments to keep it stable. This suggests that the idea of extra dimensions being a solution to the hierarchy problem remains plausible, even when considering the effects of quantum gravity.
Quantum Corrections Preserve Hierarchy Mechanism Validity This work investigates corrections to the Randall-Sundrum model, incorporating quantum effects near the horizon of a near-extremal black brane. Researchers derived the Randall-Sundrum metric by including these quantum fluctuations and subsequently calculated the resulting corrections to the Kaluza-Klein mass spectrum. The study specifically examines the impact of these corrections on the Goldberger-Wise mechanism, a crucial component of the model responsible for generating the hierarchy between gravity and other forces. The findings demonstrate that, despite the inclusion of quantum corrections and temperature effects, the Goldberger-Wise mechanism remains valid, avoiding the need for extreme parameter fine-tuning. This achievement represents an initial step towards incorporating infrared quantum gravity into the Randall-Sundrum framework and introducing temperature-dependent quantum effects into the model. The authors clarify that Jackiw-Teitelboim gravity serves as a tool to account for quantum fluctuations near the black brane horizons, rather than describing the entire braneworld model. Future research directions include exploring how these quantum corrections might extend to other braneworld models and investigating the implications of this temperature-dependent Randall-Sundrum model for cosmology and the study of phase transitions. These investigations promise to further refine our understanding of extra-dimensional models and their potential to address fundamental questions in physics. 👉 More information 🗞 Quantum Corrections to Randall-Sundrum Model from JT Gravity 🧠 ArXiv: https://arxiv.org/abs/2512.06686 Tags: