Multi-scale Renormalisation Group Improvement of the Effective Potential

Abstract

Using the renormalisation group and a conjecture concerning the perturbation series for the effective potential, the leading logarithms in the effective potential are exactly summed for $O(N)$ scalar and Yukawa theories.

19 pages, DIAS STP 94-09. Expanded to check large N limit, typo's corrected, to appear in Phys Rev D

References in corpus (6)

• The effective potential and the renormalisation group
• Precise Vacuum Stability Bound in the Standard Model
• Renormalization Group Improvement of the Effective Potential in Massive O(N) Symmetric ${\varphi }^4$ Theory
• Improving the Effective Potential
• Improving the Effective Potential:Multi-Mass-Scale Case
• Improving the Effective Potential, Multi-Mass Problem and Modified Mass-Dependent Scheme

Cited by in corpus (22)

• Effective potential methods and the Higgs mass spectrum in the MSSM
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• Optimal Renormalization-Group Improvement of Two Radiatively-Broken Gauge Theories
• Single-scale Renormalisation Group Improvement of Multi-scale Effective Potentials
• Renormalization group improvement of the effective potential in massive ${\varphi }^4$ theory
• Renormalization Group Improvement of the Effective Potential: an EFT Approach
• Consistent Conformal Extensions of the Standard Model
• Geometry of Flat Directions in Scale-Invariant Potentials
• Grand unification and the Planck scale: An $SO(10)$ example of radiative symmetry breaking
• Minima of Classically Scale-Invariant Potentials
• The Effective Potential in the Massive ${\varphi }_4^4$ Model
• Summation of Higher Order Effects using the Renormalization Group Equation
• When tadpoles matter: One-loop corrections for spectator Higgs in inflation
• Vacuum Stability in the one-loop approximation of a 331 Model
• The Derivative Expansion of the Effective Action and the Renormalization Group Equation
• The hierarchy problem and fine-tuning in a decoupling approach to multi-scale effective potentials
• The Renormalization Group with Exact beta-Functions
• An application of the renormalization group to the calculation of the vacuum decay rate in flat and curved space-time
• On Nonstandard Vacuua in Minimal Supergravity Models
• Nielsen Identity and the Renormalization Group Functions in an Abelian Supersymmetric Chern-Simons Model in the Superfield Formalism
• Scale dependence improvement of the quartic scalar field thermal effective potential in the optimized perturbation theory
• Generalized Seesaw Mechanism of Neutrino and Bose-Einstein Condensation in the Modified O'Raifeartaigh Model