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|Title:||QFT in Flat Space and Measurability II. Perturbation Theory for a Scalar Field Model|
|Keywords:||ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика|
|Publisher:||Minsk : Education and Upbringing|
|Citation:||Nonlinear Phenomena in Complex Systems. - 2020. - Vol. 23. - № 1. - P. 33-53|
|Abstract:||In the present paper the quantum theory for a scalar ﬁeld model has been considered by the author in terms of the measurability concept introduced in his previous works. This theory is studied within the scope of the lattice approach. It is shown that the perturbation theory for such a model at the energies E ≪ Ep leads to the completely ﬁnite contributions into the loop amplitudes of all physical processes, and also to ﬁnite values of both bare and experimental (i.e. renormalized) quantities associated with the above-mentioned energy region. Besides, it is demonstrated that a continuum limit of the lattice model includes no ultra-violet divergences.|
|Appears in Collections:||2020. Volume 23. Number 1|
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