Bound states in functional renormalization group

Research output: Contribution to journalArticle

Abstract

Equivalence criteria are established for an effective Yukawa-type theory of composite fields representing two-particle fermion bound states with the original "microscopic" theory of interacting fermions based on the spectral decomposition of the 2-to-2 fermion scattering amplitude. Functional renormalization group equations of the effective theory are derived exploiting relations expressing the equivalence. The effect of truncating the spectral decomposition is investigated quantitatively on the example of the nonrelativistic bound states of two oppositely charged fermions.

Original languageEnglish
Article number1950154
JournalInternational Journal of Modern Physics A
Volume34
Issue number27
DOIs
Publication statusPublished - Sep 30 2019

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fermions
equivalence
decomposition
scattering amplitude
composite materials

Keywords

  • Bethe-Salpeter equations
  • bound states
  • Functional renormalization group

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics

Cite this

Bound states in functional renormalization group. / Jakovác, A.; Patkós, A.

In: International Journal of Modern Physics A, Vol. 34, No. 27, 1950154, 30.09.2019.

Research output: Contribution to journalArticle

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