Fermion interactions and universal behavior in strongly interacting theories

摘要: The theory of the strong interaction, quantum chromodynamics (QCD), describes generation hadronic masses and state matter during early stages evolution universe. As a complement, experiments with ultracold fermionic atoms provide clean environment to benchmark our understanding dynamical formation condensates bound states in strongly interacting many-body systems. Renormalization Group (RG) techniques offer great potential for theoretical advances both hot dense QCD physics, but their connections have not yet been investigated detail. We aim take further step bridge this gap. A cross-fertilization is indeed promising since it may eventually us an ab initio description hadronization, condensation bound-state theories. After giving thorough introduction derivation analysis RG flows, we give introductory review present universal long-range behavior various different theories, ranging from non-relativistic problems relativistic gauge emphasis on scaling physical observables close phase transitions (i.e. at zero temperature) as well thermal transitions.