K. Splittorff

QCD-like theories at finite baryon and isospin density

We use two-color QCD as a model to study the effects of the simultaneous presence of chemical potentials for isospin charge

Partially quenched chiral perturbation theory and the replica method

{ensuremath{mu}}_{I}

Thermodynamics of chiral symmetry at low densities

and for baryon number

QCD with two colors at finite baryon density at next-to-leading order

{ensuremath{mu}}_{B}.

The Superfluid and Conformal Phase Transitions of Two-Color QCD

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 as functions of

Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings

{ensuremath{mu}}_{I}

QCD sign problem for small chemical potential

and

Spectral sum rules of the Dirac operator and partially quenched chiral condensates

{ensuremath{mu}}_{B}.

Distributions of the Phase Angle of the Fermion Determinant in QCD

A similar analysis of QCD with quarks in the adjoint representation is also presented. Our results can be of relevance for lattice simulations of these theories. We predict a phase of inhomogeneous condensation (Fulde-Ferrel-Larkin-Ovchinnikov phase) in the two color, two flavor theory, while we do not expect it in the four flavor case or in other realizations of QCD with a positive measure.

Chiral condensate at nonzero chemical potential in the microscopic limit of QCD

We describe a novel framework for partially quenched chiral perturbation theory based on the replica method. The computational rules are exceedingly simple. We illustrate these rules by computing the partially quenched chiral condensate to one-loop order. By considering arbitrary chiral k-point functions we show explicitly to one-loop order the equivalence between this method and the one based on supersymmetry. It is possible to go smoothly from the conventional replica method to a supersymmetric variant by choosing the number of valence quarks to be negative.