# Finite volume QCD at fixed topological charge

@article{Aoki2007FiniteVQ, title={Finite volume QCD at fixed topological charge}, author={Sinya Aoki and Hidenori Fukaya and Shoji Hashimoto and Tetsuya Onogi}, journal={Physical Review D}, year={2007}, volume={76}, pages={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… Expand

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