4 papers
Gibbs measures on Brownian paths: Theory and applications
Volker Betz, Jozsef Lorinczi, Herbert Spohn
We review our investigations on Gibbs measures relative to Brownian motion, in particular the existence of such measures and their path properties, uniqueness, resp. non-uniqueness…
Infrared regular representation of the three dimensional massless Nelson model
Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
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 t…
Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach
Volker Betz, Fumio Hiroshima, Jozsef Lorinczi +2
We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and…
The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field
Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
We prove that Nelson's massless scalar field model is infrared divergent in three dimensions. In particular, the Nelson Hamiltonian and the Hamiltonian obtained from Euclidean quan…