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Related Experiment Video

Updated: May 23, 2026

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
05:51

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method

Published on: July 19, 2019

Nonperturbative renormalization group preserving full-momentum dependence: implementation and quantitative

F Benitez1, J-P Blaizot, H Chaté

  • 1LPTMC, CNRS-UMR 7600, Université Pierre et Marie Curie, F-75252 Paris, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 3, 2012
PubMed
Summary

This study implements the Blaizot-Méndez-Wschebor approximation for nonperturbative renormalization group calculations. The method accurately computes full-momentum dependence of correlation functions in scalar O(N) theories.

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Last Updated: May 23, 2026

Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
05:51

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Published on: July 19, 2019

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15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

Published on: April 19, 2021

Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • Statistical Mechanics

Background:

  • The renormalization group (RG) is crucial for understanding systems near critical points.
  • Nonperturbative RG methods are essential for complex quantum field theories.
  • Existing schemes like the derivative expansion have limitations in capturing full momentum dependence.

Purpose of the Study:

  • To implement and detail the Blaizot-Méndez-Wschebor (BMW) approximation scheme for nonperturbative renormalization group calculations.
  • To enable the computation of the full-momentum dependence of correlation functions.
  • To assess the scheme's performance and compare it with other methods.

Main Methods:

  • Detailed implementation of the Blaizot-Méndez-Wschebor approximation scheme.
  • Application to scalar O(N) theories as a test case.
  • Calculation of critical exponents, the two-point function at criticality, and the universal structure factor.

Main Results:

  • The BMW scheme successfully computes the full-momentum dependence of correlation functions.
  • Quantitative results for scalar O(N) theories show very good agreement with existing high-precision results.
  • Accurate predictions for critical exponents, the two-point function, and the structure factor were obtained.

Conclusions:

  • The Blaizot-Méndez-Wschebor approximation scheme is a powerful tool for nonperturbative quantum field theory calculations.
  • The scheme provides accurate results across different momentum regimes and phases.
  • It offers a significant advancement over methods limited to specific momentum scales, like the derivative expansion.