Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2010-11-08
PoS(Lattice 2010)209
Physics
High Energy Physics
High Energy Physics - Lattice
7 Pages, 6 figures, talk presented at the XXVIII International Symposium on Lattice Field Theory, June 14-19 2010, Villasimius
Scientific paper
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 $T_c$. Our results suggest that $J/\psi$ and $\eta_c$ may survive up to 1.4$T_c$.
Aoki Sadao
Ejiri Shinji
Kanaya Kazuyuki
Maezawa Yuu
Ohno Hayato
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