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Quantum Corrections to the Effective Potential in Generalized Models with a Scalar Field

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

A renormalization group (RG) equation for the effective potential is constructed in the approximation of leading logarithms, which is valid for an arbitrary scalar field theory in four dimensions. This equation reproduces the standard RG equation for the theory \({{\phi }^{4}}\), and it also allows one to study more complex scalar interaction potentials. In the general case, the resulting equation cannot be solved analytically, but it reduces to ordinary differential equations in some cases that can be studied numerically.

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Funding

This work was supported by the Russian Science Foundation, grant no. 21-12-0012.

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    D. M. Tolkachev, D. I. Kazakov & R. M. Yakhibbaev

  2. Stepanov Institute of Physics, 220072, Minsk, Belarus

    D. M. Tolkachev

  3. Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Russia

    D. I. Kazakov

Authors
  1. D. M. Tolkachev
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  2. D. I. Kazakov
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  3. R. M. Yakhibbaev
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Correspondence to D. M. Tolkachev, D. I. Kazakov or R. M. Yakhibbaev.

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The authors declare that they have no conflicts of interest.

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Tolkachev, D.M., Kazakov, D.I. & Yakhibbaev, R.M. Quantum Corrections to the Effective Potential in Generalized Models with a Scalar Field. Phys. Part. Nuclei Lett. 20, 292–295 (2023). https://doi.org/10.1134/S1547477123030688

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  • DOI: https://doi.org/10.1134/S1547477123030688

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