Galilei invariant quantum field theories with pair interaction review

Sep, 1990
31 pages
Published in:
  • Int.J.Mod.Phys.A 6 (1991) 2937-2970
Report number:
  • UWTHPH-1990-28

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Abstract: (WSP)
We exhibit a class of quantum field theories where particles interact with pair potentials and for which the time evolution exists in the Heisenberg representation. The essential condition for existence is stability in the thermodynamic sense and this is achieved by having the interaction fall off with the relative momenta of the particles. This can be done in a Galilei-invariant manner. We show that these systems have some mixing properties which one postulates in ergodic theory but which are difficult to prove for classical systems.
  • review
  • field theory: nonrelativistic
  • invariance: Galilei
  • quantization: 2
  • time dependence
  • stability
  • many-body problem
  • potential
  • statistical mechanics
  • bibliography
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