TY - JOUR
T1 - Mass Renormalization in the Nelson Model
AU - Hiroshima, Fumio
AU - Osawa, Susumu
N1 - Funding Information:
Susumu Osawa is grateful to Asao Arai for helpful comments and financial support. This work is financially supported by Grant-in-Aid for Science Research(B) 16H03942 and Grantin- Aid for challenging Exploratory Research 15K13445 from JSPS.
Publisher Copyright:
© 2017 Fumio Hiroshima and Susumu Osawa.
PY - 2017
Y1 - 2017
N2 - 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
AB - 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
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U2 - 10.1155/2017/4760105
DO - 10.1155/2017/4760105
M3 - Article
AN - SCOPUS:85021633353
SN - 0161-1712
VL - 2017
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
M1 - 4760105
ER -