When the isospin chemical potential exceeds the pion mass, charged pions condense in the
zero-momentum state forming a superfluid. Chiral perturbation theory provides a very …

We study the thermodynamic properties of matter at vanishing temperature for nonextreme
values of the isospin chemical potential and of the strange quark chemical potential. From …

This chapter is based on the lectures delivered at the Les Houches Summer School in July
2015. They are addressed at a mixed audience of physicists and mathematicians with some …

We study phonon modes associated with magnetic vortex lattices of finite isospin chiral
perturbation theory near the upper critical point by introducing quasimomentum fluctuations …

The random matrix theory (RMT) can be used to classify both topological phases of matter
and quantum chaos. We develop a systematic and transformative RMT to classify the …

We study the singular values of the product of two coupled rectangular random matrices as a
determinantal point process. Each of the two factors is given by a parameter dependent …

We derive exact analytical expressions for the spectral density of the Dirac operator at fixed
θ-angle in the microscopic domain of one-flavor QCD. These results are obtained by …

We propose a novel random matrix model that describes the QCD Kondo effect. The model
correctly implements both the chiral symmetry of light quarks and the $\mathrm {SU}(2) …

Perturbative thermodynamics at nonzero isospin density for cold QCD Page 1 Perturbative
thermodynamics at nonzero isospin density for cold QCD Thorben Graf and Juergen …

We investigate chaotic to integrable transition in two types of hybrid SYK models, which
contain both q= 4 SYK with interaction J and q= 2 SYK with an interaction K in type-I or (q …