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 a suitably adjusted mean. We also determine the Hamiltonian in the Fock space over this Gaussian measure space.
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Lőrinczi, J., Minlos, R.A. & Spohn, H. Infrared Regular Representation of the Three-Dimensional Massless Nelson Model. Letters in Mathematical Physics 59, 189–198 (2002). https://doi.org/10.1023/A:1015528401907
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DOI: https://doi.org/10.1023/A:1015528401907