The spectrum of hot hadronic matter and finite-temperature QCD sum rules |
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| Affiliation: | 1. Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki, 567-0031, Japan;2. J-PARC Branch, KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, Tokai, Ibaraki, 319-1106, Japan;3. Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki, 319-1195, Japan;4. Nishina Center for Accelerator-Based Science, RIKEN, Wako 351-0198, Japan;5. Department of Physics, Tokyo Institute of Technology, Meguro 152-8551, Japan;6. APCTP, San 31 Hysa-dong, Namgu, Pohang Gyeongbuk 790-784, South Korea;7. Department of Physics, Inha University, Incheon 402-751, Republic of Korea;8. Department of Physics, Nara Women''s University, Nara 630-8506, Japan;1. Theoriezentrum, Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 2, D-64289 Darmstadt, Germany;2. Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Catalonia, Spain;1. Instituto de Física Corpuscular (IFIC), Centro Mixto CSIC-Universidad de Valencia, Institutos de Investigacíon de Paterna, Apartado 22085, E-46071 Valencia, Spain;2. Advanced Science Research Center, Japan Atomic Energy Agency, Tokai, Ibaraki 319-1195, Japan;3. National Institute of Technology, Gunma College, Gunma 371-8530, Japan;1. Asia Pacific Center for Theoretical Physics, Pohang 37673, South Korea;2. Department of Physics, Nagoya University, Nagoya 464-8602, Japan;3. Institute for Basic Science, Center for Theoretical Physics of the Universe, Daejeon 34051, South Korea;4. Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan;5. Department of Physics, Tohoku University, Sendai, Miyagi 980-8578, Japan;6. Kavli IPMU (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan |
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| Abstract: | The sum rules method, which is widely used for the investigation of the resonance physics within the QCD framework, is generalized to the case of finite temperatures and densities. Conditions are formulated under which this method is quite efficient for the determination of the spectrum of hadronic matter at T ≠ 0. The finite-temperature QCD sum rules are analysed in the vector channel JPC = 1−−. Sharp and qualitative changes in the spectrum are found in the temperature interval T = 130–150 MeV. It is naturally explained as a consequence of the disappearance of confinement at the temperature Tc = 140±10 MeV. The finite-temperature QCD sum rules also show that the restoration of chiral symmetry at some temperature TF cannot precede deconfinement. In the case TF⪢Tc the sum rules indicate that the intermediate phase at Tc<T<TF is dominated by quasi-free quarks with nonzero dynamical mass mqT ≈ 300 MeV. |
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