Optimization of the derivative expansion in the nonperturbative renormalization group
By L. Canet, B. Delamotte, D. Mouhanna, J. Vidal. 2002
137 citations recorded by the source corpus.
We study the optimization of nonperturbative renormalization group equations truncated both in fields and derivatives. On the example of the Ising model in three dimensions, we show that the principle of minimal sensitivity can be unambiguously implemented at order ${\ensuremath{\partial}}^{2}$ of the derivative expansion. This approach allows us to select optimized cutoff functions and to improve the accuracy of the critical exponents $\ensuremath{\nu}$ and $\ensuremath{\eta}.$ The convergence of the field expansion is also analyzed. We show in particular that its optimization does not coincide with optimization of the accuracy of the critical exponents.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f9de6cd45c733030f188623fc55fb15112aa278e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Nuclear and High Energy Physics
Citations in the corpus
- The nonperturbative functional renormalization group and its applications (2020, background): “The optimization of the regulator choice is discussed in [67, 74, 75, 89, 117, 118, 135–144].”
- An Introduction to the Nonperturbative Renormalization Group (2007, background): “off functions and study the variations of physical quantities like critical exponents in this space. This has been done in some details and it is observed that the dependence of ν on Rk is indeed weak.[44, 45, 46] Let us emphasize that this problem is not specific to the NPRG. Even in the perturbative”