THE HIGGS-YUKAWA MODEL IN CURVED SPACETIME
E. Elizalde, S.D. Odintsov

TL;DR
This paper investigates the Higgs-Yukawa model in curved spacetime, analyzing chiral symmetry breaking and fermionic mass generation using renormalization group methods and the NJL model equivalence.
Contribution
It provides the first detailed calculation of the effective potential and fermionic mass in curved spacetime for the Higgs-Yukawa model near criticality.
Findings
Effective potential in curved spacetime calculated
Dynamically generated fermionic mass identified
Curvature effects induce chiral symmetry breaking
Abstract
The Higgs-Yukawa model in curved spacetime (renormalizable in the usual sense) is considered near the critical point, employing the --expansion and renormalization group techniques. By making use of the equivalence of this model with the standard NJL model, the effective potential in the linear curvature approach is calculated and the dynamically generated fermionic mass is found. A numerical study of chiral symmetry breaking by curvature effects is presented.
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