Finite volume QCD at fixed topological charge

Article, Preprint English OPEN
Aoki, Sinya ; Fukaya, Hidenori ; Hashimoto, Shoji ; Onogi, Tetsuya (2007)
  • Publisher: American Physical Society
  • Journal: Physical review D, volume 76, issue 5, page 54,508 (issn: 1550-7998)
  • Related identifiers: doi: 10.1103/PhysRevD.76.054508
  • Subject: 物理学 | High Energy Physics - Lattice | High Energy Physics - Theory

In 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.
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