Analyticity of The Ground State Energy For Massless Nelson Models
Mathematical Physics
2015-05-19 v2 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1008.4628,
title = {Analyticity of The Ground State Energy For Massless Nelson Models},
author = {Abdelmalek Abdesselam and David Hasler},
journal= {arXiv preprint arXiv:1008.4628},
year = {2015}
}
Comments
33 pages, 1 figure, added a section on the calculation of the effective mass