2025/02/13 by Mitsuaki Hirasawa, Masazumi Honda, Hirasawa, Mitsuaki +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2502.09115
openalex publication_date 2025/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the possibility of the spontaneous breaking of CP symmetry in 4D SU(2) Yang-Mills at θ=π, which has recently attracted much attention in the context of the higher-form symmetry and the 't Hooft anomaly matching condition. Here we provide a numerical evidence that the CP symmetry is indeed spontaneously broken at low temperature and it gets restored above the deconfining temperature at θ=π, which is consistent with the anomaly matching condition and yet differs from the situation predicted in the large-N limit. We avoid the severe sign problem by performing simulations at imaginary θ. We obtain the critical temperature of the CP restoration and that of deconfinement at θ=π by analytic continuation, which leads to the above conclusion.