Mass Renormalization in the Nelson Model

Fumio Hiroshima and Susumu Osawa

International Journal of Mathematics and Mathematical Sciences, 2017, vol. 2017, 1-21

Abstract:

The asymptotic behavior of the effective mass of the so-called Nelson model in quantum field theory is considered, where is an ultraviolet cutoff parameter of the model. Let be the bare mass of the model. It is shown that for sufficiently small coupling constant of the model, can be expanded as . A physical folklore is that as . It is rigorously shown that ,   with some constants , , and .

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:4760105

DOI: 10.1155/2017/4760105

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