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Prog. Theor. Phys. Vol. 117 No. 1 (2007) pp. 103-138

[ Full Text PDF : FREE ACCESS (3744K) ]

Novel Collective Excitations and the Quasi-Particle Picture of Quarks Coupled with a Massive Boson at Finite Temperature

Masakiyo Kitazawa,1,2,* Teiji Kunihiro1,** and Yukio Nemoto3,***

1Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
2RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973, USA
3Department of Physics, Nagoya University, Naogya 464-8602, Japan

(Received September 19, 2006)

Abstract:

Motivated by the observation that there may exist hadronic excitations even in the quark-gluon plasma (QGP) phase, we investigate how the properties of quarks, especially within the quasi-particle picture, are affected by the coupling with bosonic excitations at finite temperature (T), employing Yukawa models with a massive scalar (pseudoscalar) and vector (axial-vector) boson of mass m. The quark spectral function and the quasi-dispersion relations are calculated at one-loop order. We find that there appears a three-peak structure in the quark spectral function with a collective nature when T is comparable with m, irrespective of the type of boson considered. Such a multi-peak structure was first found in a chiral model yielding scalar composite bosons with a decay width. We elucidate the mechanism through which the new quark collective excitations are realized in terms of the Landau damping of a quark (an antiquark) induced by scattering with the thermally excited boson, which gives rise to mixing and hence a level repulsion between a quark (antiquark) and an antiquark-hole (quark-hole) in the thermally excited antiquark (quark) distribution. Our results suggest that the quarks in the QGP phase can be described within an interesting quasi-particle picture with a multi-peak spectral function. Because the models employed here are rather generic, our findings may represent a universal phenomenon for fermions coupled to a massive bosonic excitation with a vanishing or small width. The relevance of these results to other fields of physics, such as neutrino physics, is also briefly discussed. In addition, we describe a new aspect of the plasmino excitation obtained in the hard-thermal loop approximation.


URL : http://ptp.ipap.jp/link?PTP/117/103/
DOI : 10.1143/PTP.117.103


*E-mail: kitazawa@quark.phy.bnl.gov
**E-mail: kunihiro@yukawa.kyoto-u.ac.jp
***E-mail: nemoto@hken.phys.nagoya-u.ac.jp

[ Full Text PDF : FREE ACCESS (3744K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 117-137 :
    Quasi-Quark Spectrum in the Chiral Symmetric Phase from the Schwinger-Dyson Equation
    Masayasu Harada Yukio Nemoto and Shunji Yoshimoto
  2. Progress of Theoretical Physics Supplement No.168 (2007) pp. 385-388 :
    Fermionic Collective Modes in QGP near Critical Temperatures
    Yukio Nemoto, Masakiyo Kitazawa, Tomoi Koide and Teiji Kunihiro
  3. Progress of Theoretical Physics Supplement No. 174 (2008) pp. 262-265 :
    A Novel Quasi-Particle Picture of Massless and Massive Quarks Coupled with a Massive Boson at Finite Temperature and Its Effect on the Dilepton Production Rate
    Kazuya Mitsutani, Masakiyo Kitazawa, Teiji Kunihiro and Yukio Nemoto
  4. Progress of Theoretical Physics Supplement No. 186 (2010) pp. 447-454 :
    QCD Critical Points and Their Associated Soft Modes
    T. Kunihiro, Y. Minami and Z. Zhang

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