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Physical review D >
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http://hdl.handle.net/2241/98040
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| Title: | Finite volume QCD at fixed topological charge |
| Authors: | Aoki, Sinya
Fukaya, Hidenori
Hashimoto, Shoji
Onogi, Tetsuya
青木, 愼也 |
| Issue Date: | Sep-2007 |
| Publisher: | American Physical Society |
| Journal Title: | Physical review D |
| Volume: | 76 |
| Issue: | 5 |
| Start Page: | 054508 |
| DOI: | 10.1103/PhysRevD.76.054508 |
| Abstract: | 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. |
| URI: | http://hdl.handle.net/2241/98040 |
| Rights: | ©2007 The American Physical Society |
| Text Version: | publisher |
| Appears in Collections: | Physical review D
青木 愼也 (Aoki Sinya)
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