2004/03/31 by Hidenori Fukaya, T. Onogi, Tetsuya Onogi
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1103/physrevd.70.054508
published as Phys.Rev. D70 (2004) 054508 · 12 pages,15 figures, one reference added, minor corrections
arxiv created 2004/04/07 · openalex publication_date 2004/09/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the scalar and pseudoscalar condensates and the \ensuremathη^\ensuremath' meson correlators of the two-flavor massive Schwinger model in the \ensuremathθ\ensuremath≠0 vacuum. Exploiting our new method which was developed to investigate topological effects in the previous work, we find that \ensuremath⟨\ensuremathψ\ensuremathγ5\ensuremathψ\ensuremath⟩^\ensuremathθ\ensuremath≠0 and there exists a long-range correlation of the \ensuremathη^\ensuremath' meson. This phenomenon is well described by the clustering property. We also find that even in \ensuremathθ=0 case the cancellation of the long-range correlation is nontrivial and requires accurate contributions from higher topological sectors. Our results imply that the fluctuation of the disconnected diagram originates from the pseudoscalar condensate in each topological sector.