8 papers
Direct numerical simulation of the 't Hooft partition function and (de)confining phases
Okuto Morikawa, Hiroshi Suzuki
The 't Hooft partition function is a discrete Fourier transform of Yang--Mills partition functions in background 2-form gauge fields an…
Direct Monte Carlo Computation of the 't~Hooft Partition Function
Okuto Morikawa, Hiroshi Suzuki
The 't~Hooft partition function~ of an gauge theory with the 1-form symmetry is defined as the Fourier transform of the partiti…
Monte Carlo Simulation of the Yang--Mills Theory
Motokazu Abe, Okuto Morikawa, Hiroshi Suzuki
We carry out a hybrid Monte Carlo (HMC) simulation of the Yang--Mills theory in which the 2-form flat gauge field (the 't~Hooft flux) is explici…
Novel Lattice Formulation of 2D Chiral Gauge Theory via Bosonization
Okuto Morikawa, Soma Onoda, Hiroshi Suzuki
Recently, lattice formulations of 2D Abelian chiral gauge theory have been constructed based on Abelian bosonization. It is remarkable about these 2D lattice formulations that they…
Axion QED as a Lattice Gauge Theory and Non-Invertible Symmetry
Yamato Honda, Soma Onoda, Hiroshi Suzuki
We investigate the non-invertible symmetry associated with chiral symmetry in axion quantum electrodynamics (QED) using the modified Villain formulation. In axion QED, it is known…
Winding number on 3D lattice
Okuto Morikawa, Hiroshi Suzuki
We propose a simple numerical method which computes an approximate value of the winding number of a mapping from 3D torus~ to the unitary group~, when is approxima…