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

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

1999-11-24

arxiv.org/abs/hep-th/9911196v3

J.KoreanPhys.Soc.39:971-979,2001

Physics

High Energy Physics

High Energy Physics - Theory

In version 3, title was changed and a subsection (Sec. IIA) of version 1, which appears in the appendix in version 2, was remo

Scientific paper

The renormalization group method is applied to the three-loop effective potential of the massive $\phi^4$ 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 $\beta_\lambda$, $\gamma_m$, $\gamma_\phi$, and $\beta_\Lambda$, 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 $\lambda$, $m^2$, $\phi$, and $\Lambda$ within the accuracy of the three-loop order.

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