Self-tuning of the P-vortices

TL;DR

The paper investigates the self-tuning behavior of P-vortices in lattice gauge theories, showing that their action diverges at ultraviolet scales while their total area remains physically scaled, indicating an intrinsic self-regulating property.

Contribution

It introduces the concept of self tuning in P-vortices, demonstrating their ultraviolet divergence in action while maintaining a physically scaled total area.

Findings

Ultraviolet divergence of the non-Abelian action associated with P-vortices.

Total vortex area scales in physical units despite ultraviolet divergences.

The phenomenon is characterized as self tuning due to the absence of parameter tuning.

Abstract

We observe that on the currently available lattices the non-Abelian action associated with the P-vortices is ultraviolet divergent. On the other hand, the total area of the vortices scales in physical units. Since both the ultraviolet and infrared scales are manifested and there is no parameter to tune, the observed phenomenon can be called self tuning.