2024/12/31 by Motokazu Abe, Abe, Motokazu, Okuto Morikawa +3
Physics and Astronomy · Engineering · #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies #Superconducting Materials and Applications
paper · pdf · doi:10.48550/arxiv.2501.00286
We carry out a hybrid Monte Carlo (HMC) simulation of the SU(2)/ℤ2 Yang--Mills theory in which the ℤN 2-form flat gauge field (the 't~Hooft flux) is explicitly treated as one of the dynamical variables. We observe that our HMC algorithm in the SU(2)/ℤ2 theory drastically reduces autocorrelation lengths of the topological charge and of a physical quantity which couples to slow modes in the conventional HMC simulation of the SU(2) theory. Provided that sufficiently large lattice volumes are available, therefore, the HMC algorithm of the SU(N)/ℤN theory could be employed as an alternative for the simulation of the SU(N) Yang--Mills theory, because local observables are expected to be insensitive to the difference between SU(N) and~SU(N)/ℤN in the large volume limit. A possible method to incorporate quarks [fermions in the fundamental representation of~SU(N) with the baryon number~1/N] in this framework is also considered.