Speaker
Description
We introduce a Yukawa model where a scalar boson interacts with both
relativistic Luttinger fermions and Dirac fermions.
The Luttinger-Yukawa sector exhibits features similar to self-organized
criticality (SOC) which provides for a natural scale separation between an
initial UV scale and the scale of spontaneous symmetry breaking and mass gap
generation. We observe that the SOC mechanism accompanied by a partial fixed
point is stable under the inclusion of (gauged) Dirac fermions. In turn, the
SOC mechanism exerts a strong influence on the renormalization flow of the
Dirac sector, naturally inducing a strong mass hierarchy with naturally small
Dirac masses. The model provides a first example that the relativistic SOC
mechanism can generate two vastly different scales without any fine-tuning of
initial parameters.
Coupling the Dirac fermions to a non-abelian gauge field, the SOC mechanism
generically drives the Dirac Yukawa coupling into a regime where its infrared
flow is governed by that of the gauge coupling.
| Affiliation | FSU Jena |
|---|---|
| Career status | Postdoc |