The nelson model

Research output: Chapter in Book/Report/Conference proceedingChapter


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 languageEnglish
Title of host publicationSpringerBriefs in Mathematical Physics
Number of pages28
Publication statusPublished - Jan 1 2019

Publication series

NameSpringerBriefs in Mathematical Physics
ISSN (Print)2197-1757
ISSN (Electronic)2197-1765

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)

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