2024/01/11 by Mitsuaki Hirasawa, Hirasawa, Mitsuaki, Kohta Hatakeyama +9
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2401.05726
openalex publication_date 2024/01/11 · openalex created_date 2024/01/13 · openalex updated_date 2026/07/28
The 't Hooft anomaly matching condition provides constraints on the phase structure at θ=π in 4D SU(N) Yang-Mills theory. In particular, assuming that the theory is confined and the CP symmetry is spontaneously broken at low temperature, it cannot be restored below the deconfining temperature at θ=π. Here we investigate the CP restoration at θ=π in the 4D SU(2) case and provide numerical evidence that the CP restoration occurs at a temperature higher than the deconfining temperature unlike the known results in the large-N limit, where the CP restoration occurs precisely at the deconfining temperature. The severe sign problem at θ=π is avoided by focusing on the tail of the topological charge distribution at θ=0, which can be probed by performing simulations at imaginary θ. By analytic continuation with respect to θ, we obtain the topological charge at real θ.