Academic Journal
Massless scalar free Field in 1+1 dimensions I: Weyl algebras Products and Superselection Sectors
| العنوان: | Massless scalar free Field in 1+1 dimensions I: Weyl algebras Products and Superselection Sectors |
|---|---|
| المؤلفون: | Fabio Ciolli |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://arxiv.org/pdf/math-ph/0511064v4.pdf. |
| سنة النشر: | 2009 |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | Weyl algebras, Massless scalar free field, Superselection sectors, Conformal models, Solitonic sectors, Twisted crossed products, Non-regular representations |
| الوصف: | This is the first of two papers on the superselection sectors of the conformal model in the title, in a time zero formulation. A classification of the sectors of the net of observables as restrictions of solitonic (twisted) and non solitonic (untwisted) sector automorphisms of proper extensions of the observable net is given. All of them are implemented by the elements of a field net in a non-regular vacuum representation and the existence of a global compact Abelian gauge group is proved. A non trivial center in the fixed-point net of this gauge group appears, but in a unphysical representation and reducing to the identity in the physical one. The completeness of the described superselection structure, to which the second paper is devoted, is shown in terms of Roberts ’ net cohomology. Some general features of physical field models defined by twisted cross products of Weyl algebras in non-regular representations are also presented. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.339.9148; http://arxiv.org/pdf/math-ph/0511064v4.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.339.9148 http://arxiv.org/pdf/math-ph/0511064v4.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.2151CCDB |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |