Competing Forces in 5-Dimensional Fermion Condensation
Jongmin Yoon, Michael E. Peskin

TL;DR
This paper investigates fermion condensation in a 5D Randall-Sundrum model to understand the conditions for a small Higgs vacuum expectation value, providing a new formula for the Coleman-Weinberg potential.
Contribution
It introduces a general formula for the Coleman-Weinberg potential in Randall-Sundrum models and analyzes fermion boundary conditions affecting Higgs hierarchy.
Findings
Derived a simple formula for the Coleman-Weinberg potential.
Identified conditions for fermion multiplet competition to generate a little hierarchy.
Provided insights into fermion boundary conditions influencing Higgs VEV.
Abstract
We study fermion condensation in the Randall-Sundrum background as a setting for composite Higgs models. We formalize the computation of the Coleman-Weinberg potential and present a simple, general formula. Using this tool, we study the competition of fermion multiplets with different boundary conditions, to find conditions for creating a little hierarchy with the Higgs field expectation value much smaller than the intrinsic Randall-Sundrum mass scale.
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Taxonomy
TopicsRare-earth and actinide compounds · Quantum, superfluid, helium dynamics · Physics of Superconductivity and Magnetism
