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Hadronic Spectral Functions in Lattice QCD

Y. Nakahara, M. Asakawa, T. Hatsuda

Abstract

QCD spectral functions of hadrons in the pseudo-scalar and vector channels are extracted from lattice Monte Carlo data of the imaginary time Green's functions. The maximum entropy method works well for this purpose, and the resonance and continuum structures in the spectra are obtained in addition to the ground state peaks.

Hadronic Spectral Functions in Lattice QCD

Abstract

QCD spectral functions of hadrons in the pseudo-scalar and vector channels are extracted from lattice Monte Carlo data of the imaginary time Green's functions. The maximum entropy method works well for this purpose, and the resonance and continuum structures in the spectra are obtained in addition to the ground state peaks.

Paper Structure

This paper contains 7 equations, 1 figure.

Figures (1)

  • Figure 1: The solid line is $\rho_{in}(\omega)$. The dashed line and dash-dotted line are $\rho_{out}(\omega)$ obtained with parameter set (I) $a = 0.0847$ fm, $1 \le \tau /a \le 12$, $b=0.001$ and set (II) $a = 0.0847$ fm, $1 \le \tau /a \le 36$, $b=0.0001$, respectively.