Lattice study of "f$_{0}$(600) or $σ$"

Details Lattice study of "f$_{0}$(600) or $σ$" Lattice study of "f$_{0}$(600) or $σ$"

2002-10-08

arxiv.org/abs/hep-lat/0210012v2

Nucl.Phys.Proc.Suppl.119:275-277,2003

Physics

High Energy Physics

High Energy Physics - Lattice

Talk given at 20th International Symposium on Lattice Field Theory (LATTICE 2002), Boston, Massachusetts, 24-29 Jun 2002

Scientific paper

10.1016/S0920-5632(03)01530-5

We investigate the propagator of "f$_{0}$(600) or the $\sigma$" by the full-QCD simulation with Wilson fermions. We calculate the mesonic correlator in the I=0, $J^P=0^{+}$ channel on the $8^{3} \times 16$ lattice. Plaquet action and Wilson fermion action are adopted. A coupling constant $\beta$ is set to 4.8 and three kinds of hopping parameter, $\kappa$=0.1846, 0.1874 and 0.1891 are assayed. The disconnected diagram in the propagator is evaluated through taking average over 500 or 1000 Z2 noise. Simulations with the larger hopping parameter provide us with less noisy results. Though the statistics is not yet enough, our results indicate the existence of a pole with a mass in almost the same order as that of the $\rho$.

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