Charmonium spectral functions with the variational method in zero and finite temperature lattice QCD
Physical Review D Volume 84 Issue 9
Page 094504-1-094504-13
published_at 2011
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Title ( eng ) |
Charmonium spectral functions with the variational method in zero and finite temperature lattice QCD
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Creator |
Ohno Hiroshi
Aoki Sinya
Ejiri Shinji
Kanaya Kazuyuki
Maezawa Yu
Saito Hana
WHOT-QCD Collaboration
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Source Title |
Physical Review D
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Volume | 84 |
Issue | 9 |
Start Page | 094504-1 |
End Page | 094504-13 |
Abstract |
We propose a method to evaluate spectral functions on the lattice based on a variational method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a variational method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the method to calculate the charmonium spectral functions for S and P-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the variational method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for S-wave states below and above Tc. We obtain no clear evidences for dissociation of J/ψ and ηc up to 1.4Tc.
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Language |
eng
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Resource Type | journal article |
Publisher |
American Physical Society
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Date of Issued | 2011 |
Rights |
(c) 2011 American Physical Society
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Publish Type | Version of Record |
Access Rights | open access |
Source Identifier |
[ISSN] 1550-7998
[DOI] 10.1103/PhysRevD.84.094504
[NCID] AA00773624
[DOI] http://dx.doi.org/10.1103/PhysRevD.84.094504
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