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Prog. Theor. Phys. Vol. 18 No. 6 (1957) pp. 591-613

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Multiple Production of Particles and Hydrodynamical Aspect of Quantum Theory of Fields

Mikio Namiki and Chikashi Iso*

Department of Applied Physics, Waseda University, Tokyo
*Research Institute for Fundamental Physics, Kyoto University, Kyoto

(Received August 30, 1957)

Abstract:

The theory of irreversible processes based on quantum statistical mechanics is formulated in the framework of the quantum field theory, for the purpose to investigate whether the hydrodynamical description is applicable to the meson cloud as considered in Landau's theory of the multiple production of particles. The hydrodynamical quantities are defined from the field-theoretical operators by means of the averaging procedures in quantum statistical mechanics. Through the discussions about the relation between the equation of state of meson-nucleon fluid and the feature of interactions, it seems possible to conclude that at extremely high energy the equation of state assumed by Landau holds in the case of the first kind of interactions (having the dimensionless coupling constants), while it is not the case in the systems with the second kind of interactions (having the coupling constants with dimension). In particular, the violation of Landau's equation would be serious in the case of interactions with derivatives. Next the formulae are presented to calculate the phenomenological coefficients to the considered as the representatives of the properties of the fluid. Such a formulation includes the calculations of the relaxation time, the time for a system to reach the local equilibrium. There the methods are also prepared to estimate deviations from the macroscopic values of physical quantities predicted by the hydrodynamics due to fluctuations.


URL : http://ptp.ipap.jp/link?PTP/18/591/
DOI : 10.1143/PTP.18.591

[ Full Text PDF : FREE ACCESS (1783K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 22 No. 3 (1959) pp. 403-429 :
    Applicability Conditions of the Hydrodynamical Model of Multiple Production of Particles from the Point of View of Quantum Field Theory
    Chikashi Iso, Kenju Mori and Mikio Namiki
  2. Progress of Theoretical Physics Vol. 23 No. 1 (1960) pp. 137-160 :
    A Field Theoretical Investigation of Multiple Meson Production. I
    Keizo Kobayakawa and Tsutomu Imamura
  3. Progress of Theoretical Physics Vol. 25 No. 4 (1961) pp. 667-683 :
    Pion-Nucleon Interaction and the Multiple-Production Experiment
    Hiroshi Ezawa, Osamu Kamei, Kenju Mori, Hiroo Shimoida and Tohru Yoneyama
  4. Progress of Theoretical Physics Vol. 33 No. 1 (1965) pp. 92-124 :
    Classical Boson Wave Excitation in Inelastic Collisions and Shadow Scatterings at Very High Energies
    Mikio Namiki
  5. Progress of Theoretical Physics Vol. 38 No. 2 (1967) pp. 431-448 :
    Dynamical Statistical Model of High Energy Elastic Scattering
    Mikio Namiki and Ichiro Ohba
  6. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 656-670 :
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  7. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1356-1367 :
    On the Average Effect of a Highly Turbulent Gravito-Hydrodynamic Field in the Hadron Era of the Universe. III
    Hidekazu Nariai
  8. Progress of Theoretical Physics Vol. 55 No. 2 (1976) pp. 539-550 :
    Hydrodynamical Model of Multiparticle Production at Large Transverse Momentum
    Ichiro Yotsuyanagi
  9. Progress of Theoretical Physics Vol. 85 No. 2 (1991) pp. 305-320 :
    Hydrodynamical Evolution of QGP-Fluid with Phase Transition and Particle Distribution in High Energy Nuclear Collisions
    Youichi Akase, Masashi Mizutani, Shin Muroya and Mikita Yasuda
  10. Progress of Theoretical Physics Vol. 113 No. 2 (2005) pp. 457-462 :
    A Calculation of the Viscosity to Entropy Ratio of a Hadronic Gas
    Shin Muroya and Nobuo Sasaki
  11. Progress of Theoretical Physics Supplement No.193 (2012) pp. 327-330 :
    Transport Coefficients of the Second Order Hydrodynamics and the Applicability of Hydrodynamic Model
    Shin Muroya

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