 00478 Asao Arai
 Ground State
of the Massless Nelson Model Without
Infrared Cutoff in a NonFock 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 nonFock representation} of the
timezero 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 nonFock representation used
is inequivalent to the Fock one
if no infrared cutoff is made.
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00478.tex