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https://hdl.handle.net/2440/29095
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Type: | Conference paper |
Title: | Finite volume dependence of hadron properties and lattice QCD |
Author: | Thomas, A. Ashley, J. Leinweber, D. Young, R. |
Citation: | Journal of Physics: Conference Series, 2005; 9:321-330 |
Publisher: | IOP Publishing Ltd |
Publisher Place: | United Kingdom |
Issue Date: | 2005 |
Series/Report no.: | JOURNAL OF PHYSICS CONFERENCE SERIES |
ISSN: | 1742-6588 1742-6596 |
Conference Name: | Meeting of the APS Topical Group on Hadronic Physics (1st : 2004 : Illinois, USA) |
Editor: | Barnes, T. Godfrey, S. Petrov, A. Swanson, E. |
Statement of Responsibility: | Anthony W Thomas, Jonathan D Ashley, Derek B Leinweber and Ross D Young |
Abstract: | Because the time needed for a simulation in lattice QCD varies at a rate exceeding the fourth power of the lattice size, it is important to understand how small one can make a lattice without altering the physics beyond recognition. It is common to use a rule of thumb that the pion mass times the lattice size should be greater than (ideally much greater than) four (i.e., mπL ≫ 4). By considering a relatively simple chiral quark model we are led to suggest that a more realistic constraint would be m π(L - 2R) ≫ 4, where R is the radius of the confinement region, which for these purposes could be taken to be around 0.8-1.0 fm. Within the modelwe demonstrate that violating the second condition can lead to unphysical behaviour of hadronic properties as a function of pion mass. In particular, the axial charge of the nucleon is found to decrease quite rapidly as the chiral limit is approached. © 2005 IOP Publishing Ltd. |
DOI: | 10.1088/1742-6596/9/1/061 |
Published version: | http://dx.doi.org/10.1088/1742-6596/9/1/061 |
Appears in Collections: | Aurora harvest 2 Special Research Centre for the Subatomic Structure of Matter publications |
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