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Title :An application of the variational analysis to calculate the meson spectral functions
Authors :Ohno, H.
Aoki, S.
Kanaya, K.
Saito, H.
Ejiri, S.
Maezawa, Y.
Umeda, T.
WHOT-QCD Collaboration
Publisher :SISSA
Issue Date :Jul-2010
Journal Title :PoS - Proceedings of Science
Volume :Lattice2010
Issue :209
Start Page :1
End Page :7
ISSN :1824-8039
Description :The XXVIII Internaitonal Symposium on Lattice Field Theory, Lattice2010 July 14-19, 2010 Villasimius, Italy
Abstract :We present a new method to calculate meson spectral functions (SPFs) on the lattice based on a variational method. Because, on a finite volume lattice, the meson SPFs have discrete spectra only, a suitable way to extract such discrete signals is needed. Using a variational method, we can calculate several discrete quantities such as the position and the area of spectral peaks for low-lying states. Moreover data accuracy can be improved by increasing the number of basis functions. In this report, we first confirm our method in the free quark case and show that our method works well. Then, we apply the method to a quenched lattice QCD simulation and calculate the charmonium SPFs for S and P-waves at zero temperature. Our results for the ground state are well consistent with the position and the area of the lowest peaks of charmonium SPFs calculated by the conventional maximum entropy method. For first excited states, the signals may be reliablly extracted with our method because the charmonium mass converges to a value close to the experimental one when the number of basis functions is increased. We also investigate the SPFs for S-wave charmonia at below and above Tc. Our results suggest that J/y and hc may survive up to 1.4Tc.
Type Local :会議発表論文
Language :eng
Format :application/pdf
URI :http://hdl.handle.net/10191/27695
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/27695/1/Lattice 2010_209.pdf
Rights :© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
Appears in Collections:99 その他学会発表資料

Please use this identifier to cite or link to this item: http://hdl.handle.net/10191/27695