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• W3134261628 abstract "We investigate the phenomenon of gravitational catalysis, i.e., curvature-induced chiral symmetry breaking and fermion mass generation, at finite temperature. Using a scale-dependent analysis, we derive a thermal bound on the curvature of local patches of spacetime. This bound quantifies regions in parameter space that remain unaffected by gravitational catalysis and thus are compatible with the existence of light fermions as observed in nature. While finite temperature generically relaxes the curvature bound, we observe a comparatively strong dependence of the phenomenon on the details of the curvature. Our bound can be applied to scenarios of quantum gravity, as any realistic candidate has to accommodate a sufficient number of light fermions. We argue that our bound therefore represents a test for quantum-gravity scenarios: A suitably averaged spacetime in the (trans-)Planckian regime that satisfies our curvature bound does not induce correspondingly large Planckian fermion masses by gravitational catalysis. The temperature dependence derived in this work facilitates to follow the fate of gravitational catalysis during the thermal history of the (quantum) Universe. In an application to the asymptotic-safety scenario of quantum gravity, our bound translates into a temperature-dependent upper bound on the number of fermion flavors." @default.
• W3134261628 created "2021-03-15" @default.
• W3134261628 creator A5017757207 @default.
• W3134261628 creator A5019395389 @default.
• W3134261628 date "2021-06-28" @default.
• W3134261628 modified "2023-10-15" @default.
• W3134261628 title "Curvature bound from gravitational catalysis in thermal backgrounds" @default.
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• W3134261628 doi "https://doi.org/10.1103/physrevd.103.125027" @default.
• W3134261628 hasPublicationYear "2021" @default.
• W3134261628 type Work @default.
• W3134261628 sameAs 3134261628 @default.

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