00-478 Asao Arai
Ground State of the Massless Nelson Model Without Infrared Cutoff in a Non-Fock Representation (47K, LaTex) Dec 4, 00
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Abstract. We consider a model of quantum particles coupled to a massless quantum scalar field, called the massless Nelson model, {\it in a non-Fock representation} of the time-zero fields which satisfy the canonical commutation relations. We show that the model has a ground state for {\it all} values of the coupling constant {\it even in the case where no infrared cutoff is made}. The non-Fock representation used is inequivalent to the Fock one if no infrared cutoff is made.

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