QCD-like theories at finite baryon and isospin density - art. no. 016003

We use two-color QCD as a model to study the effects of the simultaneous pr esence of chemical potentials for isospin charge mu (I) and for baryon numb er mu (B). We determine the phase diagrams for two and four flavor theories using the method of effective chiral Lagrangians at low densities and weak -coupling perturbation theory at high densities. We determine the values of various condensates and densities as well as the spectrum of excitations a s functions of mu (I) and mu (B). A Similar analysis of QCD with quarks in the adjoint representation is also presented. Our results can be of relevan ce for lattice simulations of these theories. We predict a phase of inhomog eneous condensation (Fulde-Ferrel-Larkin-Ovchinnikov phase) in the two colo r, two flavor theory, while we do not expect it in the four flavor case or in other realizations of QCD with a positive measure.