Infrared regular representation of the three dimensional massless Nelson model

2001/07/06 by Jozsef Lorinczi, Lorinczi, Jozsef, Robert A. Minlos +3
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.math-ph/0107004

arxiv created 2001/07/06 · arxiv updated 2009/11/30

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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