Infrared regular representation of the three dimensional massless Nelson model

Details Infrared regular representation of the three dimensional massless Nelson model Infrared regular representation of the three dimensional massless Nelson model

2001-07-06

arxiv.org/abs/math-ph/0107004v1

Physics

Mathematical Physics

Scientific paper

We prove that in the Euclidean representation of the three dimensional
massless Nelson model the t = 0 projection of the interacting measure is
absolutely continuous with respect to a Gaussian measure with suitably adjusted
mean. We also determine the Hamiltonian in the Fock space over this Gaussian
measure space.

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