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arXiv · 0802.2919

Renormalization Group Determination of the Five-Loop Effective Potential for Massless Scalar Field Theory

F. A. Chishtie·D. G. C. McKeon·T. G. Steele
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Abstract

The five-loop effective potential and the associated summation of subleading logarithms for O(4) globally-symmetric massless $λϕ^4$ field theory in the Coleman-Weinberg renormalization scheme $\frac{d^4V}{dϕ^4}|_{ϕ= μ} = λ$ (where $μ$ is the renormalization scale) is calculated via renormalization-group methods. An important aspect of this analysis is conversion of the known five-loop renormalization-group functions in the minimal-subtraction (MS) scheme to the Coleman-Weinberg scheme.

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F. A. Chishtie, D. G. C. McKeon, T. G. Steele. 2008-02-20. Renormalization Group Determination of the Five-Loop Effective Potential for Massless Scalar Field Theory. https://doi.org/10.1139/p07-202

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