Duality in finite-dimensional spin glasses
| dc.creator | Nishimori, Hidetoshi | |
| dc.date | 2006-02-20 | |
| dc.date | 2006-06-06 | |
| dc.date.accessioned | 2026-07-07T08:05:29Z | |
| dc.date.available | 2026-07-07T08:05:29Z | |
| dc.description | We present an analysis leading to a conjecture on the exact location of the multicritical point in the phase diagram of spin glasses in finite dimensions. The conjecture, in satisfactory agreement with a number of numerical results, was previously derived using an ansatz emerging from duality and the replica method. In the present paper we carefully examine the ansatz and reduce it to a hypothesis on analyticity of a function appearing in the duality relation. Thus the problem is now clearer than before from a mathematical point of view: The ansatz, somewhat arbitrarily introduced previously, has now been shown to be closely related to the analyticity of a well-defined function. | |
| dc.description | 12 pages, 3 figures; A reference added; to appear in J. Stat. Phys | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0602453 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0602453 | |
| dc.identifier | J. Stat. Phys. 126 (2007) 977 | |
| dc.identifier | doi:10.1007/s10955-006-9156-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130297 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Mathematical Physics | |
| dc.title | Duality in finite-dimensional spin glasses | |
| dc.type | text |