Variational Approach to Excited Fermions on Kinks

Autor: Weigel, Herbert, Saadatmand, Danial
Rok vydání: 2023
Předmět:
Zdroj: Universe 2024, 10, 13
Druh dokumentu: Working Paper
DOI: 10.3390/universe10010013
Popis: We study the back-reaction of fermion fields on the kink solution in one space and one time dimension. We employ a variational procedure to determine an upper limit for the minimum of the total energy. This energy has three contributions: the classical kink energy, the energy of valence fermions and the fermion vacuum polarization energy. The latter arises from the interaction of the kink with the Dirac sea and is required for consistency of the semi-classical expansion for the fermions. Earlier studies only considered the valence part and observed a substantial back-reaction. This was reflected by a sizable distortion of the kink profile. We find that this distortion is strongly mitigated when the Dirac sea is properly accounted for. As a result the back-reaction merely produces a slight squeeze or stretch of the kink profile.
Comment: Eleven pages, three figures, V2: matches journal version
Databáze: arXiv
Externí odkaz:
Nepřihlášeným uživatelům se plný text nezobrazuje