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Towards the construction of quantum field theories from a factorizing S-matrix

Lechner, Gandalf 2007. Towards the construction of quantum field theories from a factorizing S-matrix. Progress in Mathematics -Boston- 251 , pp. 175-197. 10.1007/978-3-7643-7434-1_13

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Abstract

Starting from a given factorizing S-matrix S in two space-time dimensions, we review a novel strategy to rigorously construct quantum field theories describing particles whose interaction is governed by S. The construction procedure is divided into two main steps: Firstly certain semi-local Wightman fields are introduced by means of Zamolodchikov’s algebra. The second step consists in proving the existence of local observables in these models. As a new result, an intermediate step in the existence problem is taken by proving the modular compactness condition for wedge algebras.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer Verlag
ISSN: 0743-1643
Last Modified: 04 Jun 2017 08:09
URI: http://orca.cf.ac.uk/id/eprint/73589

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