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On Vacuum Integration

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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—The effective potential is known to be given by the vacuum diagrams. In this paper we show that the massive loop integrations corresponding to the vacuum diagrams can be expressed through the massless loop integrations with the corresponding massive prefactor provided the special treatment of \(\delta (0)\)-singularity. In its turn, the massless loop integrations provide the useful instrument for the conformal symmetry application.

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Notes

  1. We say that the function \(f(x)\) behaves like the function \(g(x)\) as \(x \to a\), i.e. \(f(x) \sim g(x)\), if \(\mathop {\lim}\limits_{x \to a} {{f(x)} \mathord{\left/ {\vphantom {{f(x)} {g(x}}} \right. \kern-0em} {g(x}}) = 1\).

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Authors and Affiliations

  1. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980, Dubna, Russia

    I. V. Anikin

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  1. I. V. Anikin
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Correspondence to I. V. Anikin.

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Anikin, I.V. On Vacuum Integration. Phys. Part. Nuclei Lett. 18, 290–293 (2021). https://doi.org/10.1134/S1547477121030031

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  • DOI: https://doi.org/10.1134/S1547477121030031

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