The nelson model

Fumio Hiroshima

doi:10.1007/978-981-32-9305-2_4

The nelson model

Fumio Hiroshima

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

In this chapter the Nelson model is studied, which was investigated by Nelson [49] who succeeded in renormalizing an ultraviolet cutoff function and defining Hamiltonian without cutoffs. This model describes an interaction between non-relativistic spinless nucleons and a scalar meson field. The existence of the ground state of the Nelson Hamiltonian with/without cutoffs is proven.

Original language	English
Title of host publication	SpringerBriefs in Mathematical Physics
Publisher	Springer
Pages	75-102
Number of pages	28
DOIs	https://doi.org/10.1007/978-981-32-9305-2_4
Publication status	Published - Jan 1 2019

Publication series

Name	SpringerBriefs in Mathematical Physics
Volume	35
ISSN (Print)	2197-1757
ISSN (Electronic)	2197-1765

All Science Journal Classification (ASJC) codes

Mathematical Physics
Physics and Astronomy (miscellaneous)

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10.1007/978-981-32-9305-2_4

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The nelson model

Abstract

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