Precision calculation of critical exponents in the O(N) universality classes with the nonperturbative renormalization group
- Autor(es):
- De Polsi Astapenco, Gonzalo ; Balog, Ivan ; Tissier, Matthieu ; Wschebor, Nicolás
- Tipo:
- Preprint
- Versión:
- Enviado
- Resumen:
-
We compute the critical exponents ν, η and ω of O(N) models for various values of N by implementing the derivative expansion of the nonperturbative renormalization group up to next-to-next-to-leading order [usually denoted O(∂4)]. We analyze the behavior of this approximation scheme at successive orders and observe an apparent convergence with a small parameter, typically between 19 and 14, compatible with previous studies in the Ising case. This allows us to give well-grounded error bars. We obtain a determination of critical exponents with a precision which is similar or better than those obtained by most field-theoretical techniques. We also reach a better precision than Monte Carlo simulations in some physically relevant situations. In the O(2) case, where there is a long-standing controversy between Monte Carlo estimates and experiments for the specific heat exponent α, our results are compatible with those of Monte Carlo but clearly exclude experimental values.
- Año:
- 2020
- Idioma:
- Inglés
- Temas:
- Condensed matter - statistical mechanics
High energy physics - theory
- Institución:
- Universidad de la República
- Repositorio:
- COLIBRI
- Enlace(s):
- https://hdl.handle.net/20.500.12008/31934
- Nivel de acceso:
- Acceso abierto