2014/09/16 by Jean-Paul Blaizot, Nicolás Wschebor, Nicolas Wschebor
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling constant #Mathematical physics #Mathematics #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Quartic function #Renormalization #Renormalization group #Resummation #Scalar field theory #hep-ph
paper · pdf · doi:10.1016/j.physletb.2014.12.040
arxiv created 2014/09/16 · openalex publication_date 2015/01/06 · arxiv updated 2018/05/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We argue that the choice of an appropriate, massive, renormalization scheme can greatly improve the apparent convergence of perturbation theory at finite temperature. This is illustrated by the calculation of the pressure of a scalar field theory with quartic interactions, at 2-loop order. The result, almost identical to that obtained with more sophisticated resummation techniques, shows a remarkable stability as the coupling constant grows, in sharp contrast with standard perturbation theory.