Can the Hierarchy Problem be Solved by Finite-Temperature Massive Fermions in the Randall-Sundrum Model?

TL;DR

This paper investigates how finite-temperature effects of massive fermions in the Randall-Sundrum model can stabilize the brane configuration and potentially address the hierarchy problem through quantum-induced energy minima.

Contribution

It introduces a mechanism where quantum effects of bulk fermions at finite temperature stabilize the brane and may solve the hierarchy problem, extending previous work with new thermodynamic insights.

Findings

Thermodynamic energy has a minimum at low temperature.

Quantum effects can stabilize the brane configuration.

Potential solution to the hierarchy problem at low temperatures.

Abstract

Quantum effects of bulk matter, in the form of massive fermions, are considered in the Randall-Sundrum $AdS_5$ brane world at finite temperatures. The thermodynamic energy (modulus potential) is calculated in the limiting case when the temperature is low, and is shown to possess a minimum, thus suggesting a new dynamical mechanism for stabilizing the brane world. Moreover, these quantum effects may solve the hierarchy scale problem, at quite low temperatures. The present note reviews essentially the fermion-related part of the recent article by I. Brevik, K. A. Milton, S. Nojiri, and S. D. Odintsov, hep-th/0010205 .