The free energy of spherical pure p-spin models: computation from the TAP approach

• 成果类型: Article
• 署名作者: Subag, Eliran
• 署名单位: Weizmann Institute of Science
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-023-01200-0
• 发表日期: 2023
• 页码: 715-734
• 关键词: sherrington-kirkpatrick model; metastable states; order parameters; parisi formula; complexity; points

摘要

We compute the free energy at all temperatures for the spherical pure p-spin models from the generalized Thouless-Anderson-Palmer representation. This is the first example of a mixed p-spin model for which the free energy is computed in the whole replica symmetry breaking phase, without appealing to the famous Parisi formula.