Beta functions in the Quantum Field Theory

  • Nicola Fabiano University of Belgrade, “Vinča” Institute of Nuclear Sciences - Institute of National Importance for the Republic of Serbia, Belgrade, Republic of Serbia https://orcid.org/0000-0003-1645-2071
DOI: https://doi.org/10.5937/vojtehg70-32131
Keywords: Quantum Electrodynamics, Quantum Chromodynamics, Quantum Field Theory, renormalization group, beta function

Abstract


Introduction/purpose: The running of the coupling constant in various Quantum Field Theories and a possible behaviour of the beta function are illustrated.

Methods: The Callan–Symanzik equation is used for the study of the beta function evolution.

Results: Different behaviours of the coupling constant for high energies are observed for different theories. The phenomenon of asymptotic freedom is of particular interest.

Conclusions: Quantum Electrodynamics (QED) and Quantum Chromodinamics (QCD) coupling constants have completely different behaviours in the regime of high energies. While the first one diverges for finite energies, the latter one tends to zero as energy increases. This QCD phenomenon is called asymptotic freedom.

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Published
2022/01/05
Issue
Vol. 70 No. 1 (2022): January-March
Section
Review Papers
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