Conformal phase transition: QCD like theories with a large number of fermion flavors and all that

Abstract

The notion of the conformal phase transiton (CPhT) is discussed. As its realization, the dynamics with an infrared stable fixed point in the conformal window in QCD like theories with a relatively large number of fermion flavors is reviewed. The emphasis is on the description of a clear signature for the conformal window, which in particular can be useful for lattice computer simulations of these gauge theories. A possibility of the relevance of the CPhT in graphene is mentioned.