Seminars

Fri. Dec 20th 2024

Title: 't Hooft loop in SU(2) Yang-Mills Theory Revisited

Hiromasa Watanabe (YITP)

abstract: The ’t Hooft loop is the important line operator as well as the Wilson loop to distinguish phases of Yang-Mills (YM) theory in four dimensions. For YM with the theta term, there are nontrivial confining phases where the dyons condensate instead of magnetic monopoles, which is known as the oblique confinement. These phases can be distinguished by the above line operators according to the Wilson-’t Hooft classification. The generalized notion of symmetries and anomalies enables us in deeper understanding of this classification. In this study, we revisit SU(2) pure YM at $theta \simeq 0, 2\pi$ by the lattice Monte Carlo simulation, where we can tame the sign problem using the reweighting method, and discuss the characterization of phases in the language of line operators.