Ground state for point particles interacting through a massless scalar Bose field

Research output: Contribution to journalArticle

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Abstract

We consider a massless scalar Bose field interacting with two particles, one of them infinitely heavy. Neither an infrared nor an ultraviolet cutoff is imposed. In case the charge of the particles is of the same sign and sufficiently small, we prove the existence of a ground state.

Original languageEnglish
Pages (from-to)339-392
Number of pages54
JournalAdvances in Mathematics
Volume191
Issue number2
DOIs
Publication statusPublished - Mar 1 2005

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Ground State
Scalar
Ultraviolet
Infrared
Charge

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Ground state for point particles interacting through a massless scalar Bose field. / Hirokawa, Masao; Hiroshima, Fumio; Spohn, Herbert.

In: Advances in Mathematics, Vol. 191, No. 2, 01.03.2005, p. 339-392.

Research output: Contribution to journalArticle

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