Abstract:
The distribution of the Fisher zeros in the Kallen-Lehmann approach to three-dimensional Ising model is studied. It is argued that the presence of a non-trivial angle (a cusp) in the distribution of zeros in the complex temperatures plane near the physical singularity is realized through a strong breaking of the 2D Ising self-duality. Remarkably, the realization of the cusp in the Fisher distribution ultimately leads to an improvement of the results of the Kallen-Lehmann ansatz. In fact, excellent agreement with Monte Carlo predictions both at high and at low temperatures is observed. Besides, agreement between both approaches is found for the predictions of the critical exponent α and of the universal amplitude ratio Δ = A+ / A-, within the 3.5% and 7% of the Monte Carlo predictions, respectively. © 2008 Elsevier B.V. All rights reserved.
Registro:
Documento: |
Artículo
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Título: | Fisher zeros in the Kallen-Lehmann approach to 3D Ising model |
Autor: | Astorino, M.; Canfora, F.; Giribet, G. |
Filiación: | Instituto de Física, Pontificia Universidad Católica de Valparaíso, Chile Centro de Estudios Científicos (CECS), Valdivia, Chile Departamento de Física, Universidad de Buenos Aires (UBA), CONICET, Argentina
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Palabras clave: | Ising model; Regge theory; Spin glasses |
Año: | 2009
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Volumen: | 671
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Número: | 2
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Página de inicio: | 291
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Página de fin: | 297
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DOI: |
http://dx.doi.org/10.1016/j.physletb.2008.11.066 |
Título revista: | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
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Título revista abreviado: | Phys Lett Sect B Nucl Elem Part High-Energy Phys
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ISSN: | 03702693
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CODEN: | PYLBA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v671_n2_p291_Astorino |
Referencias:
- Pelissetto, A., Vicari, E., (2002) Phys. Rep., 368, p. 549
- Svetitsky, B., Yaffe, L.G., (1982) Nucl. Phys. B, 210, p. 423
- Canfora, F., Parisi, L., Vilasi, G., (2006) Phys. Lett. B, 638, p. 85
- Regge, T., (1959) Nuovo Cimento, 14, p. 951
- Regge, T., (1960) Nuovo Cimento, 18, p. 947
- Canfora, F., (2007) Phys. Lett. B, 646, p. 54
- Astorino, M., Canfora, F., Martinez, C., Parisi, L., (2008) Phys. Lett. B, 664, p. 139
- Fisher, M.E., (1968) Lecture in Theoretical Physics, VIIC, p. 1. , Brittin W.E. (Ed), Gordon and Breach, New York
- Yang, C.N., Lee, T.D., (1952) Phys. Rev., 87, p. 404
- Yang, C.N., Lee, T.D., (1952) Phys. Rev., 87, p. 410
- Abe, R., (1967) Prog. Theor. Phys., 37, p. 1070
- Abe, R., (1967) Prog. Theor. Phys., 38, p. 72
- Abe, R., (1967) Prog. Theor. Phys., 38, p. 322
- Abe, R., (1967) Prog. Theor. Phys., 38, p. 568
- Suzuki, M., (1967) Prog. Theor. Phys., 38, p. 289
- Suzuki, M., (1967) Prog. Theor. Phys., 38, p. 1225
- Suzuki, M., (1967) Prog. Theor. Phys., 38, p. 1243
- Suzuki, M., (1968) Prog. Theor. Phys., 39, p. 349
- Janke, W., Kenna, R., (2001) J. Stat. Phys., 102, p. 1211
- Janke, W., Johnston, D.A., Kenna, R., (2004) Nucl. Phys. B, 682, p. 618
- Kramers, H., Wannier, G., (1941) Phys. Rev., 60, p. 252
- Onsager, L., (1944) Phys. Rev., 65, p. 117
- Marchesini, G., Shrock, R., (1989) Nucl. Phys. B, 318, p. 541
- Arisue, H., Fujiwara, T., (2003) Phys. Rev. E, 67, p. 066109
- Bhanot, G., Creutz, M., Lacki, J., (1992) Phys. Rev. Lett., 69, p. 1841
- Butera, P., Comi, M., (2002) Phys. Rev. B, 65, p. 144431
Citas:
---------- APA ----------
Astorino, M., Canfora, F. & Giribet, G.
(2009)
. Fisher zeros in the Kallen-Lehmann approach to 3D Ising model. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 671(2), 291-297.
http://dx.doi.org/10.1016/j.physletb.2008.11.066---------- CHICAGO ----------
Astorino, M., Canfora, F., Giribet, G.
"Fisher zeros in the Kallen-Lehmann approach to 3D Ising model"
. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 671, no. 2
(2009) : 291-297.
http://dx.doi.org/10.1016/j.physletb.2008.11.066---------- MLA ----------
Astorino, M., Canfora, F., Giribet, G.
"Fisher zeros in the Kallen-Lehmann approach to 3D Ising model"
. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 671, no. 2, 2009, pp. 291-297.
http://dx.doi.org/10.1016/j.physletb.2008.11.066---------- VANCOUVER ----------
Astorino, M., Canfora, F., Giribet, G. Fisher zeros in the Kallen-Lehmann approach to 3D Ising model. Phys Lett Sect B Nucl Elem Part High-Energy Phys. 2009;671(2):291-297.
http://dx.doi.org/10.1016/j.physletb.2008.11.066