On Fermion Grading Symmetry for Quasi-Local Systems

Moriya, Hajime

Communications in Mathematical Physics, 2006, 264(2), 411-426

Permalink : https://hdl.handle.net/2115/10085

このアイテムのアクセス数:2,412件（2026-03-06 02:48 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
0410020	pdf	216 KB	1,289

アクセス権	open access
URI	https://hdl.handle.net/2115/10085
タイトル	On Fermion Grading Symmetry for Quasi-Local Systems
著者	著者名 Moriya, Hajime 守屋, 創
言語	英語
発行日	2006-06
出版者	Springer
収録物名	Communications in Mathematical Physics
巻(号)	264(2)
ページ	411-426
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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	The original publication is available at www.springerlink.com
PISSN	0010-3616
EISSN	1432-0916
関連情報	URI http://www.springerlink.com
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1007/s00220-006-1550-7