Abstract
In an quantum sine-Gordon model in 1+1 dimensions, the condition that the vacuum expectation value of the Heisenberg scalar field reproduces static soliton solution to the classical equation is satisfied when the LSZ asymptotic quantum field undergoes a canonical transformation. This can be viewed as a “quantum image” of the Bäcklund transformation and the soliton is described in terms of condensation of quanta. Their confinement is ascribed to the non-implementability of unitary transformations among unitary inequivalent representations of the canonical commutation relations.
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Invited talk at the International Symposium “Selected Topics in Quantum Field Theory and Mathematical Physics”, Bechyně, Czechoslovakia, June 14–21, 1981.
It is a pleasure to thank Professor J. Niederle and the Organizing Committee for the opportunity of participating in this Symposium and for the kind hospitality.
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Vitiello, G. Bose condensation, solitons and canonical transformations in quantum field theory. Czech J Phys 32, 575–583 (1982). https://doi.org/10.1007/BF01596849
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DOI: https://doi.org/10.1007/BF01596849