Study of the scaling properties in SU(2) gauge theory with eight flavors

Abstract

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point. By using Wilson/Polyakov loop in a finite volume with twisted boundary conditions, we study the renormalization group flow of the gauge coupling constant. Our calculation gives consistent result with the perturbative prediction of the running coupling in the weak coupling region. We investigate a possible signal for conformal behavior in the strong coupling region.

Phase Structure Study of SU(2) Lattice Gauge Theory with 8 flavours

“…They can be used to construct models for dynamical electroweak symmetry breaking. For SU (2) gauge theories, the case of N f = 6 has been shown to be chirally-broken [1]. A natural choice to approach N (c) f , therefore, is N f = 8.…”

“…A natural choice to approach N (c) f , therefore, is N f = 8. There have been some studies of SU(2) gauge theory with N f = 8 [2,3], but no concrete conclusion was made for the existence of an infrared fixed point.…”

Infrared behaviors of SU(2) gauge theory

“…Systematic investigation of some of these theories has been carried out in [4][5][6][7][8]. For few flavors the theory is expected to be QCD-like and this is confirmed by the simulations as well as the existence of a fixed point for ten flavors compatibly with perturbation theory.…”

Lattice Study of the Extent of the Conformal Window in Two-Color Yang-Mills Theory

“…it is the value of the renormalized coupling on a volume of (sL) 4 and bare coupling tuned such that we have a renormalized coupling of u on a lattice of volume L 4 . We arrive at a continuum step scaling function,…”

“…al. show evidence that the N f = 8 theory has a fixed pointḡ 2 * > 7.5 using a twisted Wilson/Polyakov loop method in [4]. It is peculiar that the six flavor theory as studied by Bursa et.…”