The Infrared behavior of SU(3) Nf=12 gauge theory -about the existence of conformal fixed point-

TL;DR

This study investigates the infrared behavior of SU(3) gauge theory with 12 flavors using lattice simulations and the step scaling method, providing evidence for a conformal fixed point.

Contribution

It introduces a lattice simulation approach with twisted boundary conditions to identify the conformal fixed point in SU(3) gauge theory with 12 flavors.

Findings

Step scaling function sigma(u) is consistent with u at low energies.

Evidence supports the existence of a conformal fixed point.

Large-scale GPU computations enabled extensive data collection.

Abstract

Incorporated with twisted boundary condition, Polyakov loop correlators can give a definition of the renormalized coupling. We employ this scheme for the step scaling method (with step size s = 2) in the search of conformal fixed point of SU(3) gauge theory with 12 massless flavors. Staggered fermion and plaquette gauge action are used in the lattice simulation with six different lattice sizes, L/a = 20, 16, 12, 10, 8 and 6. For the largest lattice size, L/a = 20, we used a large number of Graphics Processing Units (GPUs) and accumulated 3,000,000 trajectories in total. We found that the step scaling function sigma (u) is consistent with u in the low-energy region. This means the existence of conformal fixed point. Some details of our analysis and simulations will also be presented.