A simplified Parisi ansatz

作     者：Simone Franchini Simone Franchini

作者机构：Sapienza Universita di Roma1 Piazza Aldo Moro00185 RomaItaly 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2021年第73卷第5期

页      面：92-101页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：I wish to thank Amin Coja-Oghlan(Goethe University Frankfurt)for sharing his views on graph theory and replica symmetry breaking which deeply influenced this work.I also wish to thank Giorgio Parisi Pan Liming Francesco Guerra Pietro Caputo Nicola Kistler Demian Battaglia Francesco Concetti and Riccardo Balzan for interesting discussions and suggestions.This project has received funding from the European Research Council(ERC)under the European Union's Horizon 2020 research and innovation programme(Grant Agreement No) 

主　　题：Sherrington–Kirkpatrick model cavity methods Parisi formula 

摘      要：Based on simple combinatorial arguments,we formulate a generalized cavity method where the Random Overlap Structure(ROSt)probability space of Aizenmann,Sims and Starr is obtained in a constructive way,and we use it to give a simplified derivation of the Parisi formula for the free energy of the Sherrington–Kirkpatrick model.