English

Infrared regular representation of the three dimensional massless Nelson model

Mathematical Physics 2007-05-23 v1 math.MP Probability

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.

Cite

@article{arxiv.math-ph/0107004,
  title  = {Infrared regular representation of the three dimensional massless Nelson model},
  author = {Jozsef Lorinczi and Robert A. Minlos and Herbert Spohn},
  journal= {arXiv preprint arXiv:math-ph/0107004},
  year   = {2007}
}
R2 v1 2026-07-22T16:20:32.502Z