Generalized TAP Free Energy

• Published in: Communications on pure and applied mathematics Vol. 76; no. 7; pp. 1329 - 1415
• Main Authors: Chen, Wei‐Kuo, Panchenko, Dmitry, Subag, Eliran
• Format: Journal Article
• Language: English
• Published: Melbourne John Wiley & Sons Australia, Ltd 01.07.2023; John Wiley and Sons, Limited
• Subjects: Critical point; Free energy; Ising model; Order parameters; Spin glasses
• ISSN: 0010-3640; 1097-0312
• DOI: 10.1002/cpa.22040

We consider the mixed p‐spin mean‐field spin glass model with Ising spins and investigate its free energy in the spirit of the TAP approach, named after Thouless, Anderson, and Palmer [67]. More precisely, we define and compute the generalized TAP correction, and establish the corresponding generali...