Gravitational instantons and anomalous chiral symmetry breaking

We study anomalous chiral symmetry breaking in two-flavor QCD induced by gravitational and QCD-instantons within asymptotically safe gravity within the functional renormalization group approach. Similarly to QCD-instantons, gravitational ones, associated to a K3-surface connected by a wormhole-like...

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Hauptverfasser: Hamada, Yu (VerfasserIn) , Pawlowski, Jan M. (VerfasserIn) , Yamada, Masatoshi (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 14 May 2021
In: Physical review
Year: 2021, Jahrgang: 103, Heft: 10, Pages: 1-15
ISSN:2470-0029
DOI:10.1103/PhysRevD.103.106016
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.103.106016
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.103.106016
Volltext
Verfasserangaben:Yu Hamada, Jan M. Pawlowski, and Masatoshi Yamada
Beschreibung
Zusammenfassung:We study anomalous chiral symmetry breaking in two-flavor QCD induced by gravitational and QCD-instantons within asymptotically safe gravity within the functional renormalization group approach. Similarly to QCD-instantons, gravitational ones, associated to a K3-surface connected by a wormhole-like throat in flat spacetime, generate contributions to the ’t Hooft coupling proportional to exp(−1/gN) with the dimensionless Newton coupling gN. Hence, in the asymptotically safe gravity scenario with a nonvanishing fixed point coupling g∗N, the induced ’t Hooft coupling is finite at the Planck scale, and its size depends on the chosen UV-completion. Within this scenario the gravitational effects on anomalous U(1)A-breaking at the Planck scale may survive at low energy scales. In turn, fermion masses of the order of the Planck scale cannot be present. This constrains the allowed asymptotically safe UV-completion of the gravity-QCD system. We map out the parameter regime that is compatible with the existence of light fermions in the low-energy regime.
Beschreibung:Gesehen am 04.08.2021
Beschreibung:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.103.106016