We review the theoretical developments and conceptual advances that stemmed from the
generalization of QCD to the limit of a large number of color charges, originally proposed by't …

We present a broad conceptual introduction to some new ideas in nonperturbative quantum
field theory (QFT) that have led to progress toward an understanding of quark confinement in …

A bstract We study the singular values of the Dirac operator in dense QCD-like theories at
zero temperature. The Dirac singular values are real and nonnegative at any nonzero quark …

A bstract We argue that the whole or the part of the phase diagrams of QCD and QCD-like
theories should be universal in the large-N c limit through the orbifold equivalence. The …

A bstract We calculate the spectrum of light glueballs and the string tension in a number of
SO (N) lattice gauge theories in 2+ 1 dimensions, with N in the range 3≤ N≤ 16. After …

The confinement–deconfinement transition is discussed from topological viewpoints. The
topological change of the system is achieved by introducing the dimensionless imaginary …

We analyze the features of strongly interacting matter in the presence of nonzero isospin
chemical potential μ I, within a nonlocal two-flavor Polyakov-loop extended Nambu-Jona …

We show the universality of phase diagrams in QCD and QCD-like theories through the
large-N_c equivalence. The whole phase diagrams are identical between QCD at finite …

We derive some rigorous results on the chiral phase transition in QCD and QCD-like
theories with a large number of colors, N c, based on the QCD inequalities and the large-N c …

The effect of the complex phase of the fermion determinant is a key question related to the
sign problem in finite-density QCD. Recently it has been shown that ignoring the complex …