Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-07-03
Phys.Rev.D76:054508,2007
Physics
High Energy Physics
High Energy Physics - Lattice
22pages, references added
Scientific paper
10.1103/PhysRevD.76.054508
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.
Aoki Sinya
Fukaya Hidenori
Hashimoto Shoji
Onogi Tetsuya
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