Электронный каталог

Статья

Kazakov, D.I.
Leading All-Loop Quantum Contribution to the Effective Potential in General Scalar Field Theory / D.I.Kazakov, R.M.Iakhibbaev, D.M.Tolkachev // Journal of High Energy Physics [Electronic resource]. – 2023. – Vol.2023, No.4. – P.128. – URL: https://doi.org/10.1007/JHEP04(2023)128. – Bibliogr.:15.

The RG equation for the effective potential in the leading log (LL) approximation is constructed which is valid for an arbitrary scalar field theory in 4 dimensions. The solution to this equation sums up the leading log ϕ contributions to all orders of perturbation theory. In general, this is the second order nonlinear partial differential equation, but in some cases it can be reduced to the ordinary one. For particular examples, this equation is solved numerically and the LL effective potential is constructed. The solution has a characteristic discontinuity replacing the Landau pole typical for the ϕ4 theory. For a power-like potential no new minima appear due to the Coleman-Weinberg mechanism.



ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 324.3 - Аксиоматическая теория поля. Аналитические свойства матричных элементов и дисперсионные соотношения. Разложение операторов вблизи светового конуса. Вопросы регуляризации и перенормировки. Размерная регуляризация$
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