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arXiv · hep-th/9911196

RG-Improved Three-Loop Effective Potential of the Massive $ϕ^4$ theory

J. -M. Chung·B. K. Chung
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Abstract

The renormalization group method is applied to the three-loop effective potential of the massive $ϕ^4$ theory in the $\bar{\rm MS}$ scheme in order to obtain the next-next-next-to-leading logarithm resummation. For this, we exploit four-loop parts of the renormalization group functions $β_λ$, $γ_m$, $γ_ϕ$, and $β_Λ$, which were already given to five-loop order via the renormalization of the zero-, two-, and four-point one-particle-irreducible Green's functions, to solve evolution equations for the parameters $λ$, $m^2$, $ϕ$, and $Λ$ within the accuracy of the three-loop order.

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J. -M. Chung, B. K. Chung. 2002-02-01. RG-Improved Three-Loop Effective Potential of the Massive $ϕ^4$ theory. https://arxiv.org/abs/hep-th/9911196

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