Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-10-15
Phys.Rev. D67 (2003) 077503
Physics
High Energy Physics
High Energy Physics - Lattice
9 pages
Scientific paper
10.1103/PhysRevD.67.077503
We explore applications of the maximum entropy method (MEM) to determine properties of unstable particles using the four-dimensional O(4) $\phi^4$ theory as a laboratory. The spectral function of the correlation function of the unstable $\sigma$ particle is calculated with MEM, and shown to yield reliable results for both the mass of $\sigma$ and the energy of the two-pion state. Calculations are also made for the case in which $\sigma$ is stable. Distinctive differences in the volume dependence of the $\sigma$ mass and two-pion energy for the stable and unstable cases are analyzed in terms of perturbation theory.
Ishizuka Naruhito
Yamazaki Tadashi
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