Nonperturbative renormalization group approach to the Ising model: A derivative expansion at order ∂4

By L. Canet, B. Delamotte, D. Mouhanna, J. Vidal. 2003

150 citations recorded by the source corpus.

On the example of the three-dimensional Ising model, we show that nonperturbative renormalization group equations allow one to obtain very accurate critical exponents. Implementing the order ∂ 4 of the derivative expansion leads to v=0.632 and to an anomalous dimension η=0.033 which is significantly improved compared with lower orders calculations.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/af691136b7e9f7b6ead77042011f1444de128f4a

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

1. David Simmons-Duffin
2. S. Rychkov
3. A. Eichhorn
4. A. Vichi
5. David Poland
6. L. Canet
7. S. El-Showk
8. W. Metzner

In Condensed Matter Physics

1. David Simmons-Duffin
2. S. Rychkov
3. A. Eichhorn
4. David Poland
5. A. Vichi
6. L. Canet
7. W. Metzner
8. N. Dupuis

In Nuclear and High Energy Physics

1. David Simmons-Duffin
2. S. Rychkov
3. David Poland
4. A. Vichi
5. M. Paulos
6. A. Fitzpatrick
7. Jared Kaplan
8. S. El-Showk

Citations in the corpus

• Solving the 3d Ising Model with the Conformal Bootstrap II. $$c$$c-Minimization and Precise Critical Exponents (2012, methodology): “While such calculations have been performed for the leading exponents and noticed to improve their estimates [26,27], we are not aware of any results for ω2,3.”
• An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, methodology): “It has been characterized with various methods (Guida and Zinn-Justin, 1998; Campostrini et al., 1999; Pelissetto and Vicari, 2002; Canet et al., 2003; Litim and Zappala, 2011; ElShowk et al., 2012, 2014; Gliozzi and Rago, 2014) and serves as a benchmark example for many techniques.”
• The nonperturbative functional renormalization group and its applications (2020, methodology): “Results for the critical exponents of the three-dimensional O(N) universality class obtained from the LPA and the DE to second, fourth [117, 141, 145] and sixth [118] orders are shown in Table 1 for N = 0, 1, 2, 3, 4 and compared to Monte Carlo simulations, fixed-dimension perturbative RG, -expansio”