Título:
The 𝑞-state Potts model from the nonperturbative renormalization group.
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Autor:
Sánchez-VIllalobos, Carlos A.
Delamotte, Bertrand
Wschebor, Nicolás
Delamotte, Bertrand
Wschebor, Nicolás
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Tipo de documento:
Preprint
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Año de publicación:
2023
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Resumen:
We study the q-state Potts model for q and the space dimension d arbitrary real numbers using the Derivative
Expansion of the Nonperturbative Renormalization Group at its leading order, the local potential approximation
(LPA and LPA’). We determine the curve qc(d) separating the first (q > qc(d)) and second (q < qc(d)) order
phase transition regions for 2.8 < d ≤ 4. At small ϵ = 4 − d and δ = q − 2 the calculation is performed in a
double expansion in these parameters and we find qc(d) = 2 + aϵ
2 with a ≃ 0.1. For finite values of ϵ and δ,
we obtain this curve by integrating the LPA and LPA’ flow equations. We find that qc(d = 3) = 2.11(7) which
confirms that the transition is of first order in d = 3 for the three-state Potts model.
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Physical Review E 108 (2023) 6, 064120.
Financiadores:
Fondo Clemente Estable de la ANII. FCE_1_2021_1_166479.
Citación:
Sánchez-VIllalobos, C., Delamotte, B. y Wschebor, N. The 𝑞-state Potts model from the nonperturbative renormalization group. [Preprint]. Publicado en: Physical Review E 108 (2023) 6, 064120. DOI: 10.1103/PhysRevE.108.064120.
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Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| SDW23.pdf | Preprint | 1.05 MB | Adobe PDF |