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

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.

7 pages, 7 figures

References in corpus (4)

• Twelve massless flavors and three colors below the conformal window
• Lattice Simulations and Infrared Conformality
• Infrared fixed point of the 12-fermion SU(3) gauge model based on 2-lattice MCRG matching
• Finite-size scaling tests for spectra in SU(3) lattice gauge theory coupled to 12 fundamental flavor fermions

Cited by in corpus (1)

• Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours