Mass Renormalization in the Nelson Model
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-06
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The asymptotic behavior of the effective mass meff(Λ) of the so-called Nelson model in quantum field theory is considered, where Λ is an ultraviolet cutoff parameter of the model.
Let m be the bare mass of the model.
It is shown that for sufficiently small coupling constant α of the model, meff(Λ)/m can be expanded as meff(Λ)/m=1+∑n=1∞an(Λ)α2n.
A physical folklore is that an(Λ)=O(logΛ(n-1)) as Λ→∞.
It is rigorously shown that 0
American Psychological Association (APA)
Hiroshima, Fumio& Osawa, Susumu. 2017. Mass Renormalization in the Nelson Model. International Journal of Mathematics and Mathematical Sciences،Vol. 2017, no. 2017, pp.1-21.
https://search.emarefa.net/detail/BIM-1167729
Modern Language Association (MLA)
Hiroshima, Fumio& Osawa, Susumu. Mass Renormalization in the Nelson Model. International Journal of Mathematics and Mathematical Sciences No. 2017 (2017), pp.1-21.
https://search.emarefa.net/detail/BIM-1167729
American Medical Association (AMA)
Hiroshima, Fumio& Osawa, Susumu. Mass Renormalization in the Nelson Model. International Journal of Mathematics and Mathematical Sciences. 2017. Vol. 2017, no. 2017, pp.1-21.
https://search.emarefa.net/detail/BIM-1167729
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1167729