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Constant contribution in meson correlators at finite temperature

2007/01/31 by T. Umeda, Takashi Umeda
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.75.094502

published as Phys.Rev.D75:094502,2007 · 11pages, 18figures, published version

arxiv created 2007/05/12 · openalex publication_date 2007/05/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a constant contribution to meson correlators at finite temperature. In the deconfinement phase of QCD, a colored single quark state is allowed as a finite energy state, which yields to a contribution of wraparound quark propagation to temporal meson correlators. We investigate the effects in the free quark case and quenched QCD at finite temperature. The ``scattering'' contribution causes a constant mode in meson correlators with zero spatial momentum and degenerate quark masses, which can dominate the correlators in the region of large imaginary times. In the free spectral function, the contribution yields a term proportional to \ensuremathω\ensuremathδ(\ensuremathω). Therefore this contribution is related to transport phenomena in the quark gluon plasma. It is possible to distinguish the constant contribution from the other part using several analysis methods proposed in this paper. As a result of the analyses, we find that drastic changes in charmonium correlators for \ensuremathχc states just above the deconfinement transition are due to the constant contribution. The other differences in the \ensuremathχc states are small. It may indicate the survival of \ensuremathχc states after the deconfinement transition until, at least, 1.4Tc.

Citations