Mean Field Theory for Collective Motion of Quantum Meson Fields
| Autor: | Yasuhiko Tsue, D. Vautherin, Tetsuo Matsui |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Physics
Particle physics Physics and Astronomy (miscellaneous) Field (physics) Time evolution FOS: Physical sciences Equations of motion High Energy Physics - Phenomenology symbols.namesake High Energy Physics - Phenomenology (hep-ph) Mean field theory Isospin symbols Scalar field Schrödinger's cat Quantum fluctuation Mathematical physics |
| Zdroj: | Progress of Theoretical Physics. 102:313-332 |
| ISSN: | 1347-4081 0033-068X |
| DOI: | 10.1143/ptp.102.313 |
| Popis: | Mean field theory for the time evolution of quantum meson fields is studied in terms of the functional Schroedinger 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 many-body 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. Comment: 31 pages, 2 Postscript figures, uses ptptex.sty |
| Databáze: | OpenAIRE |
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