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

Lechner, Gandalf ORCID: https://orcid.org/0000-0002-8829-3121 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:	28 Oct 2022 09:10
URI:	https://orca.cardiff.ac.uk/id/eprint/73589

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