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arxiv: hep-th/9905086 · v1 · submitted 1999-05-12 · ✦ hep-th

Renormalization group improvement of the effective potential in massive φ⁴ theory

classification ✦ hep-th
keywords effectivegrouplogarithmmassivenext-next-to-leadingpotentialrenormalizationresult
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Using the method of renormalization group, we improve the two-loop effective potential of the massive $\phi^4$ theory to obtain the next-next-to-leading logarithm correction in the $\bar{MS}$ scheme. Our result well reproduces the next-next-to-leading logarithm parts of the ordinary loop expansion result known up to the four-loop order.

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  1. Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory

    hep-ph 2025-09 unverdicted novelty 6.0

    Introduces the variational renormalization group method to improve renormalization-scale stability in the finite-temperature effective potential of λφ⁴ theory compared to optimized perturbation theory alone.