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By using the lattice Monte-Carlo simulation, we investigate the finite temperature (T) chiral phase transition at color SU(3) gauge theories with various species of fundamental fermions, and discuss the signal of the (pre-)conformality at large Nf (num. of flavors.) via their comparisons. As Nf increases, we observe stronger fermion screening effects which result from a larger fermion multiplicity. We investigate a finite T step-scaling associated with a uniqueness of the critical temperature (Tc) at each Nf, then the vanishing step-scaling indicates the emergence of the conformality around Nf* = 10 - 12. Further, motivated by the functional renormalization group analyses, we examine the Nf dependence of Tc, whose vanishing behavior indicates the onset of conformal window around Nf* = 9 - 10.
We review some recent progress in our understanding of the phase diagram of non abelian gauge theories, by varying their flavor content -- fermion representations and the number of flavors. In particular, we explore the way conformal symmetry can be
We investigate the chiral phase transition at finite temperature (T) in colour SU(3) Quantum Chromodynamics (QCD) with six species of fermions (Nf = 6) in the fundamental representation. The simulations have been performed by using lattice QCD with i
We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are associated both to links and faces of a four-dimensional lattice. In special limits the discus
Photon operators with the proper $J^{PC}$ quantum numbers are constructed, including one made of elementary plaquettes. In compact U(1) lattice gauge theory, these explicit photon operators are shown to permit direct confirmation of the massive and m
Using a standard cooling method for SU(3) lattice gauge fields constant Abelian magnetic field configurations are extracted after dyon-antidyon constituents forming metastable Q=0 configurations have annihilated. These so-called Dirac sheets, standar