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Perturbation theory and renormalisation group equations

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arxiv hep-th/0111191 v3 pith:OICU7MRW submitted 2001-11-21 hep-th hep-ph

Perturbation theory and renormalisation group equations

classification hep-th hep-ph
keywords grouprenormalisationequationsperturbationtheorybeyonddiscussexpansion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the perturbative expansion of several one-loop improved renormalisation group equations. It is shown that in general the integrated renormalisation group flows fail to reproduce perturbation theory beyond one loop.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Towards gauge independence in asymptotically safe quantum gravity

    hep-th 2026-07 conditional novelty 6.0

    In an essential proper-time scheme, gauge dependence of the flow for Newton's constant cancels order-by-order once redundant off-shell terms are absorbed by field redefinitions, leaving a gauge-independent non-Gaussia...

  2. Physics-informed operator flows and observables

    hep-th 2025-07 unverdicted novelty 6.0

    Operator PIRGs complete the prior PIRG method by enabling computation of all correlation functions, demonstrated analytically in zero-dimensional phi^4 theory via vertex expansion to ten-point functions.