Hamburg 2016 – wissenschaftliches Programm
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T: Fachverband Teilchenphysik
T 13: Quantenfeldtheorie und Gittereichtheorie (Theorie)
T 13.2: Vortrag
Montag, 29. Februar 2016, 11:15–11:30, VMP8 SR 106
Regularization of ultraviolet divergence for a particle interacting with a scalar quantum field — •Oleg Skoromnik1, Ilya Feranchuk2, Dung Lu2, and Christoph Keitel1 — 1Max Planck Institute for Nuclear Physics — 2Belarusian State University
When a non-relativistic particle interacts with a scalar quantum field, the standard perturbation theory leads to a dependence of the energy of its ground state on an undefined parameter “momentum cut-off” due to the ultraviolet divergence. We show that the use of non-asymptotic states of the system results in a calculation scheme in which all observable quantities remain finite and continuously depend on the coupling constant without any additional parameters. It is furthermore demonstrated that the divergence of traditional perturbation series is caused by the energy being a function with a logarithmic singularity for small values of the coupling constant.
[1] O. D. Skoromnik, I. D. Feranchuk, D. V. Lu and C. H. Keitel, Phys. Rev. D Accepted (2015)