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Spatial dependence of meson correlation functions at high temperature
Authors:Wojciech Florkowski  Bengt L Friman
Institution:1. Gesellschaft für Schwerionenforschung GSI, Postfach 110552, D-64220, Darmstadt, Germany
2. H. Niewodniczański Institute of Nuclear Physics, ul. Radzikowskiego 152, PL-31-342, Kraków, Poland
3. Institut für Kernphysik, Technische Hochschule Darmstadt, D-64289, Darmstadt, Germany
Abstract:The spatial dependence of meson correlation functions at high temperature is studied in perturbative QCD, keeping only the lowest order term. We obtain analytic results for the static correlation function in this approximation. Problems connected with the regularization of the divergent expressions are discussed in detail. The meson screening mass is determined from the form of the correlation function at large distances. We obtain 
$$m_{src}  = 2\sqrt {\pi ^2 T^2  + M^2 } $$
, which agrees with the results of Eletskii and Ioffe, for massless quarks (M=0). Finally, the correlation function in the temporal direction is briefly discussed. For massless quarks, we find the corresponding screening massm scr=2pgrT.Research supported in part by the Polish State Committee for Scientific Research under Grant No. 2.0204.91.01
Keywords:PACS" target="_blank">PACS  12  38  Mh  14  40    n
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