A simplified Parisi ansatz  

作　　者：Simone Franchini 

机构地区：[1]Sapienza Universita di Roma,1 Piazza Aldo Moro,00185 Roma,Italy

出　　处：《Communications in Theoretical Physics》2021年第5期92-101,共10页理论物理通讯（英文版）

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[694925]).

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.

关 键 词：Sherrington–Kirkpatrick model cavity methods Parisi formula 

分 类 号：O469[理学—凝聚态物理]