2021-07-25T13:55:29Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000151902021-03-02T08:49:25ZFinite volume QCD at fixed topological charge青木, 愼也Aoki, SinyaFukaya, HidenoriHashimoto, ShojiOnogi, TetsuyaIn finite volume the partition function of QCD with a given theta is a sum of different topological sectors with a weight primarily determined by the topological susceptibility. If a physical observable is evaluated only in a fixed topological sector, the result deviates from the true expectation value by an amount proportional to the inverse space-time volume 1/V. Using the saddle point expansion, we derive formulas to express the correction due to the fixed topological charge in terms of a 1/V expansion. Applying this formula, we propose a class of methods to determine the topological susceptibility in QCD from various correlation functions calculated in a fixed topological sector.journal articleAmerican Physical Society2007-09application/pdfPhysical review D5760545081550-7998AA00773624https://tsukuba.repo.nii.ac.jp/record/15190/files/PRD_76-5.pdfeng10.1103/PhysRevD.76.054508©2007 The American Physical Society