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Infrared regular representation of the three dimensional massless Nelson model

Jozsef Lorinczi·Robert A. Minlos·Herbert Spohn
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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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Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn. 2001-07-06. Infrared regular representation of the three dimensional massless Nelson model. https://arxiv.org/abs/math-ph/0107004

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