Study of unstable particle through the spectral function in O(4) $φ^4$ theory

Details Study of unstable particle through the spectral function in O(4) $φ^4$ theory Study of unstable particle through the spectral function in O(4) $φ^4$ theory

2002-09-04

arxiv.org/abs/hep-lat/0209058v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2002(spectrum), 3 pages

Scientific paper

10.1016/S0920-5632(03)01526-3

We test application of the maximum entropy method to decompose the states contributing to the unstable $\sigma$ correlation function through the spectral function in the four dimensional O(4) $\phi^4$ theory. Reliable results are obtained for the $\sigma$ mass and two-particle $\pi\pi$ state energy using only the $\sigma$ correlation function. We also find that the property of the $\sigma$ particle is different between the unstable ($m_{\sigma}/m_{\pi}>2$) and stable ($m_{\sigma}/m_{\pi}<2$) cases.

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