Removal of UV cutoff for the Nelson model with variable coefficients

Abstract

We consider the Nelson model with variable coefficients. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metric, allowing also the boson mass to depend on position. We study the removal of the ultraviolet cutoff.

References in corpus (1)

• Infrared problem for the Nelson model on static space-times

Cited by in corpus (6)

• On the domain of the Nelson Hamiltonian
• Feynman-Kac formulas for the ultra-violet renormalized Nelson model
• Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model
• Enhanced Binding in Quantum Field Theory
• Functional central limit theorems and $P(phi{)}_1$-processes for the classical and relativistic Nelson models
• Note on ultraviolet renormalization and ground state energy of the Nelson model