| 书目名称 | Translation Group and Particle Representations in Quantum Field Theory | | 编辑 | Hans-Jürgen Borchers | | 视频video | | | 丛书名称 | Lecture Notes in Physics Monographs | | 图书封面 |  | | 描述 | At the time I learned quantum field theory it was considered a folk theo rem that it is easy to construct field theories fulfilling either the locality or the spectrum condition. The construction of an example for the latter case is particularly easy. Take for instance an irreducible representation of the Poincare group with positive energy, and as an algebra of observables all compact operators in that representation space. This algebra of observables is even an asymptotically Abelian algebra. Since it has only a single repre sentation - except for multiples of this one - it is hardly possible to replace locality in order to obtain a theory with a reasonable physical structure. This example shows that it is not sufficient to replace locality by asymptotic Abelian-ness. The construction of a theory fulfilling locality without a pos itive energy representation was first done by Doplicher, Regge, and Singer [DRS]. However, modern investigations on the locality ideal in the algebra oftest functions, started by Alcantara and Yngvason [AY], seem to indicate that this is a general feature; this means that most of the algebras of ob servables fulfilling the locality condition will not | | 出版日期 | Book 1996 | | 关键词 | C*- and W*-Algebras; C*- und W*-Algebren; Lokale Quantenphysik; Mehrere Komplexe Veränderliche; Quantenf | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-49954-1 | | isbn_softcover | 978-3-662-14078-9 | | isbn_ebook | 978-3-540-49954-1Series ISSN 0940-7677 | | issn_series | 0940-7677 | | copyright | Springer-Verlag Berlin Heidelberg 1996 |
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发表于 2025-3-21 19:20:12
