Mean Field Theory for Collective Motion of Quantum Meson Fields

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概要

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• Mean field theory for the time evolution of quantum meson fields is studied in terms of the functional Schrodinger picture with a time-dependent Gaussian variational wave functional. We first show that the equations of motion for the variational wavefunctional can be rewritten in a compact form similar to the Hartree-Bogoliubov equations in quantum manybody theory and this result is used to recover the covariance of the theory. We then apply this method to the O(N) model and present analytic solutions of the mean field evolution equations for an N-component scalar field. These solutions correspond to quantum rotations in isospin space and represent generalizations of the classical solutions obtained earlier by Anselm and Ryskin. As compared to classical solutions new effects arise because of the coupling between the average value of the field and its quantum fluctuations. We show how to generalize these solutions to the case of mean field dynamics at finite temperature. The relevance of these solutions for the observation of a coherent collective state or a disoriented chiral condensate in ultra-relativistic nuclear collisions is discussed.

• 理論物理学刊行会の論文
• 1999-08-25

著者

• 松井 哲男

  東大総文

• 松井 哲男

  東大・総文

• Tsue Yasuhiko

  L. P. T. P. E. L. P. N. H. E. Case127 University Pierre Et Marie Curie (paris Vi)

• VAUTHERIN Dominique

  Denis Diderot (Paris VII)

• MATSUI Tetsuo

  L. P. T. P. E., L. P. N. H. E., case127 University Pierre et Marie Curie (Paris VI)

• Vautherin Dominique

  Denis Diderot (paris Vii):department Of Material Science Kochi University

• TSUE Yasuhiko

  L. P. T. P. E., L. P. N. H. E., case127 University Pierre et Marie Curie (Paris VI)

• MATSUI Tetsuo

  Department of Physics, Nagoya University

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