The computation of observables in general interacting theories, be them quantum
mechanical, field, gauge or string theories, is a non-trivial problem which in many cases can …

Magnetic excitations play a crucial role in understanding the color confinement of 4D Yang-
Mills theory, and we have the monopole and the center vortex as plausible candidates to …

A bstract We study QCD vacuum structure with the topological θ angle using a recently
proposed semiclassical approach on ℝ 2× T 2 with the't Hooft and baryon magnetic fluxes …

A bstract We consider the SU (N) Yang-Mills theory, whose topological sectors are restricted
to the instanton number with integer multiples of p. We can formulate such a quantum field …

We study two-dimensional integrable field theories from the viewpoint of the four-
dimensional Chern-Simons-type gauge theory introduced recently. The integrable field …

A bstract A low-energy effective theory is said to be in the swampland if it does not have any
consistent UV completion inside a theory of quantum gravity. The natural question is if the …

We study the constraints on thermal phase transitions of SU (N c) gauge theories by using
the't Hooft anomaly involving the center symmetry and chiral symmetry. We consider two …

We discuss the SU (3)/[U (1)× U (1)] nonlinear sigma model in 1+ 1D and, more broadly, its
linearized counterparts. Such theories can be expressed as U (1)× U (1) gauge theories and …

A bstract Anomaly matching constrains low-energy physics of strongly-coupled field
theories, but it is not useful at finite temperature due to contamination from high-energy …

A bstract We study the phase diagrams of the bifundamental QCD (QCD (BF)) of different
ranks, which is the 4d SU (N 1)× SU (N 2) gauge theory coupled with a bifundamental Dirac …