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Binding energy for hydrogen-like atoms in the Nelson model without cutoffs
Christian Hainzl, Masao Hirokawa, Herbert Spohn
In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge , , fixed at the origin an…
Stochastic Growth in One Dimension and Gaussian Multi-Matrix Models
Patrik L. Ferrari, Michael Praehofer, Herbert Spohn
We discuss the space-time determinantal random field which arises for the PNG model in one dimension and resembles the one for Dyson's Brownian motion. The information of interest…
Mass renormalization in nonrelativistic QED
Fumio Hiroshima, Herbert Spohn
In nonrelativistic QED the charge of an electron equals its bare value, whereas the self-energy and the mass have to be renormalized. In our contribution we study perturbative mass…
A central limit theorem for Gibbs measures relative to Brownian motion
Volker Betz, Herbert Spohn
We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in th…
Constrained Brownian motion: Fluctuations away from circular and parabolic barriers
Patrik L. Ferrari, Herbert Spohn
Motivated by the polynuclear growth model, we consider a Brownian bridge b(t) with b(\pm T)=0 conditioned to stay above the semicircle c_T(t)=\sqrtT^2-t^2. In the limit of large T,…
Stationary measures and hydrodynamics of zero range processes with several species of particles
Stefan Grosskinsky, Herbert Spohn
We study general zero range processes with different types of particles on a d-dimensional lattice with periodic boundary conditions. A necessary and sufficient condition on the ju…