Mass renormalization in quantum field theory. — I

1964 ◽  
Vol 33 (4) ◽  
pp. 1244-1246 ◽  
Author(s):  
C. R. Hagen
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Mass Renormalization

Mass renormalization and binding energies in quantum field theory

Laser Physics ◽  
2017 ◽  
Vol 27 (10) ◽  
pp. 105301 ◽  
Author(s):  
Q Z Lv ◽  
E Stefanovich ◽  
Q Su ◽  
R Grobe
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Binding Energies ◽  
Quantum Field ◽  
Mass Renormalization

scholarly journals Mass Renormalization in the Nelson Model

2017 ◽  
Vol 2017 ◽  
pp. 1-21 ◽  
Author(s):  
Fumio Hiroshima ◽  
Susumu Osawa
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Bare Mass ◽  
Coupling Constant ◽  
Mass Renormalization ◽  
Cutoff Parameter ◽  
Nelson Model ◽  
Small Coupling ◽  
Small Coupling Constant

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<limΛ→∞a1(Λ)<C,  C1≤limΛ→∞a2(Λ)/log⁡Λ≤C2 with some constants C, C1, and C2.

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