Thesis or Dissertation Mass Renormalization in the Nelson Model

大澤, 進

The asymptotic behavior of the effective mass m eff (Λ) of the so-called Nelson model in quantum field theory is considered, where Λ is an ultraviolet cutoff parameter of the model. Let mbe the bare mass of the model. It is shown that for sufficiently small coupling constant |α|of the model,m eff(Λ)/m can be expanded as m eff(Λ)/m = 1 +∑1n=1an(Λ)α2n. A physical folklore is that an(Λ)∼[log Λ](n
Hokkaido University(北海道大学). 博士(理学)

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