Fisher zeros in the Kallen-Lehmann approach to 3D Ising model
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 br...
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03702693_v671_n2_p291_Astorino |
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todo:paper_03702693_v671_n2_p291_Astorino2023-10-03T15:29:02Z Fisher zeros in the Kallen-Lehmann approach to 3D Ising model Astorino, M. Canfora, F. Giribet, G. Ising model Regge theory Spin glasses 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03702693_v671_n2_p291_Astorino |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Ising model Regge theory Spin glasses |
| spellingShingle |
Ising model Regge theory Spin glasses Astorino, M. Canfora, F. Giribet, G. Fisher zeros in the Kallen-Lehmann approach to 3D Ising model |
| topic_facet |
Ising model Regge theory Spin glasses |
| description |
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. |
| format |
JOUR |
| author |
Astorino, M. Canfora, F. Giribet, G. |
| author_facet |
Astorino, M. Canfora, F. Giribet, G. |
| author_sort |
Astorino, M. |
| title |
Fisher zeros in the Kallen-Lehmann approach to 3D Ising model |
| title_short |
Fisher zeros in the Kallen-Lehmann approach to 3D Ising model |
| title_full |
Fisher zeros in the Kallen-Lehmann approach to 3D Ising model |
| title_fullStr |
Fisher zeros in the Kallen-Lehmann approach to 3D Ising model |
| title_full_unstemmed |
Fisher zeros in the Kallen-Lehmann approach to 3D Ising model |
| title_sort |
fisher zeros in the kallen-lehmann approach to 3d ising model |
| url |
http://hdl.handle.net/20.500.12110/paper_03702693_v671_n2_p291_Astorino |
| work_keys_str_mv |
AT astorinom fisherzerosinthekallenlehmannapproachto3disingmodel AT canforaf fisherzerosinthekallenlehmannapproachto3disingmodel AT giribetg fisherzerosinthekallenlehmannapproachto3disingmodel |
| _version_ |
1807315743452168192 |