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Infrared regular representation of the three dimensional massless Nelson model

Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn

math-pharXiv:math-ph/0107004

Abstract

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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