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Title: Constant contribution in meson correlators at finite temperature

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 {omega}{delta}({omega}). 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 {chi}{sub c} states just above the deconfinement transition are due to the constant contribution. The other differences in the {chi}{sub c} states are small. It may indicate the survival of {chi}{sub c} states after the deconfinement transition until, at least, 1.4T{sub c}.

Authors:
 [1]
  1. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
Publication Date:
OSTI Identifier:
21020497
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.75.094502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHI0-3415 MESONS; CHI1-3510 MESONS; CHI2-3555 MESONS; COLOR MODEL; QUANTUM CHROMODYNAMICS; QUARK MATTER; QUARKS; REST MASS; SPECTRAL FUNCTIONS

Citation Formats

Umeda, Takashi. Constant contribution in meson correlators at finite temperature. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.094502.
Umeda, Takashi. Constant contribution in meson correlators at finite temperature. United States. doi:10.1103/PHYSREVD.75.094502.
Umeda, Takashi. Tue . "Constant contribution in meson correlators at finite temperature". United States. doi:10.1103/PHYSREVD.75.094502.
@article{osti_21020497,
title = {Constant contribution in meson correlators at finite temperature},
author = {Umeda, Takashi},
abstractNote = {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 {omega}{delta}({omega}). 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 {chi}{sub c} states just above the deconfinement transition are due to the constant contribution. The other differences in the {chi}{sub c} states are small. It may indicate the survival of {chi}{sub c} states after the deconfinement transition until, at least, 1.4T{sub c}.},
doi = {10.1103/PHYSREVD.75.094502},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 75,
place = {United States},
year = {Tue May 01 00:00:00 EDT 2007},
month = {Tue May 01 00:00:00 EDT 2007}
}
  • We study the temperature dependence of the pion decay constant and {rho}-meson mass in the hidden local symmetry model at one loop. Using the standard imaginary time formalism, we include the thermal effect of the {rho} meson as well as that of the pion. We show that the pion gives a dominant contribution to the pion decay constant and the {rho}-meson contribution slightly decreases the critical temperature. The {rho}-meson pole mass increases as T{sup 4}/m{sub {rho}}{sup 2} at low temperature, dominated by the pion-loop effect. At high temperature, although the pion-loop effect decreases the {rho}-meson mass, the {rho}-loop contribution overcomesmore » the pion-loop contribution and the {rho}-meson mass increases with temperature. We also show that the conventional parameter a is stable as the temperature increases. {copyright} {ital 1997} {ital The American Physical Society}« less
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