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On Fermion Grading Symmetry for Quasi-Local Systems

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タイトル: On Fermion Grading Symmetry for Quasi-Local Systems
著者: Moriya, Hajime 著作を一覧する
発行日: 2006年 6月
出版者: Springer
誌名: Communications in Mathematical Physics
巻: 264
号: 2
開始ページ: 411
終了ページ: 426
出版社 DOI: 10.1007/s00220-006-1550-7
抄録: We discuss fermion grading symmetry for quasi-local systems with graded commutation relations. We introduce a criterion of spontaneously symmetry breaking (SSB) for general quasi-local systems. It is formulated based on the idea that each pair of distinct phases (appeared in spontaneous symmetry breaking) should be disjoint not only for the total system but also for every complementary outside system of a local region specified by the given quasi-local structure. Under a completely model independent setting, we show the absence of SSB for fermion grading symmetry in the above sense. We obtain some structural results for equilibrium states of lattice systems. If there would exist an even KMS state for some even dynamics that is decomposed into noneven KMS states, then those noneven states inevitably violate our local thermal stability condition.
Rights: The original publication is available at
Relation (URI):
資料タイプ: article (author version)
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 守谷 創


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