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Solutions of renormalization-group flow equations with full momentum dependence
F Benitez1, J-P Blaizot, H Chaté
1Instituto de Fìsica, Faculdad de Ingeniería, Universidade de la República, 11000 Montevideo, Uruguay.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
Summary
We present a new approximation for the nonperturbative renormalization group, enabling calculation of correlation functions across all momenta. This method efficiently yields accurate results for O(N) theories in two and three dimensions.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
Background:
- The nonperturbative renormalization group (RG) is crucial for understanding critical phenomena.
- Accessing correlation functions over their full momentum range remains a challenge.
Purpose of the Study:
- To demonstrate the efficacy of a novel approximation scheme for the nonperturbative renormalization group.
- To compute critical two-point functions for O(N) theories in 2D and 3D.
Main Methods:
- Numerical solution of leading-order flow equations from the approximation scheme.
- Calculation of two-point correlation functions for O(N) theories.
Main Results:
- The approximation scheme provides access to correlation functions across the full momentum range.
- Accurate universal and nonuniversal quantities were obtained for O(N) theories at criticality.
- The computations were achieved at a modest numerical cost.
Conclusions:
- The proposed approximation scheme is a powerful tool for nonperturbative RG studies.
- This method offers an efficient route to precise calculations of critical phenomena.
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