Gravitational instantons and anomalous chiral symmetry breaking

9Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

Abstract

We study anomalous chiral symmetry breaking in two-flavor QCD induced by gravitational and QCDinstantons 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.

Cite

CITATION STYLE

APA

Hamada, Y., Pawlowski, J. M., & Yamada, M. (2021, May 15). Gravitational instantons and anomalous chiral symmetry breaking. Physical Review D. American Physical Society. https://doi.org/10.1103/PhysRevD.103.106016

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free