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TMF, 2004, Volume 141, Number 1, Pages 80–99 (Mi tmf112)  

This article is cited in 1 scientific paper (total in 1 paper)

Stability of Quantum Electrodynamics and Quantum Chromodynamics

G. V. Efimov

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: We consider the vacuum energy in QED viewed as in a system of charged fermions and bosons and in QCD viewed as in a system of quarks (fermions) and gluons (bosons) in a self-dual field with a constant strength. We show that the cause of instability is the instability of bosons in the self-dual vacuum field. For the global stability of a system consisting of fermions and bosons, the number of fermions should be sufficiently large. The nonzero self-dual field leading to the confinement of fermions realizes the minimum of the vacuum energy in the case where the boson has the smallest mass in the system. Confinement therefore does not arise in QED, where the fermion (electron) has the smallest mass, and does arise in QCD, where the boson (gluon) has the smallest mass.

Keywords: quantum electrodynamics, quantum chromodynamics, confinement, self-dual field, vacuum energy, stability

DOI: https://doi.org/10.4213/tmf112

Full text: PDF file (285 kB)
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English version:
Theoretical and Mathematical Physics, 2004, 141:1, 1398–1414

Bibliographic databases:

Received: 13.01.2004
Revised: 24.03.2004

Citation: G. V. Efimov, “Stability of Quantum Electrodynamics and Quantum Chromodynamics”, TMF, 141:1 (2004), 80–99; Theoret. and Math. Phys., 141:1 (2004), 1398–1414

Citation in format AMSBIB
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\paper Stability of Quantum Electrodynamics and Quantum Chromodynamics
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\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 141
\issue 1
\pages 1398--1414
\crossref{https://doi.org/10.1023/B:TAMP.0000043856.41940.3c}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Efimov, GV, “On meson masses”, Few-Body Systems, 40:3–4 (2007), 131  crossref  adsnasa  isi  elib  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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