On bound states in quantum field theory

1996/07/25 by G. V. Efimov, Efimov, G. V. · 7 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9607425

33 pages, LaTex

arxiv created 1996/07/25 · openalex publication_date 1996/07/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The mechanism of formation of bound states in the relativistic quantum field theory is demonstrated by the Yukawa field model. It is shown that the weak coupling regime leads to the potential picture, i.e. it is equivalent to the nonrelativistic limit in the bound state problem. In the strong coupling regime the potential picture is not valid and the method of bosonisation of fermion currents (so-called Z₂=0 method) should be used. Essentially the nonlocal fermion currents are found to be responsible for the origin of bound states and ultraviolet convergence of fermion loops.

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