Analyticity of The Ground State Energy For Massless Nelson Models

Details Analyticity of The Ground State Energy For Massless Nelson Models Analyticity of The Ground State Energy For Massless Nelson Models

2010-08-27

arxiv.org/abs/1008.4628v2

Physics

Mathematical Physics

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

Scientific paper

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.

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