Analyticity of The Ground State Energy For Massless Nelson Models

Abstract

We show that the ground state energy of the translationally invariant Nelson model, describing a particle coupled to a relativistic field of massless bosons, is an analytic function of the coupling constant and the total momentum. We derive an explicit expression for the ground state energy which is used to determine the effective mass.

33 pages, 1 figure, added a section on the calculation of the effective mass

References in corpus (2)

• The Ground State Energy of The Massless Spin-Boson Model
• Perturbation Theory Without Diagrams: The Polaron Case

Cited by in corpus (17)

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• Analyticity of Resonances and Eigenvalues and Spectral Properties of the massless Spin-Boson Model
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• Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
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