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

Lechner G (2007)


Publication Type: Book chapter / Article in edited volumes

Publication year: 2007

Publisher: Springer Basel

Edited Volumes: Rigorous Quantum Field Theory

Series: Progress in Mathematics

Book Volume: 251

Pages Range: 175-197

DOI: 10.1007/978-3-7643-7434-1_13

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.

Authors with CRIS profile

Additional Organisation(s)

Involved external institutions

How to cite

APA:

Lechner, G. (2007). Towards the construction of quantum field theories from a factorizing S-matrix. In Rigorous Quantum Field Theory. (pp. 175-197). Springer Basel.

MLA:

Lechner, Gandalf. "Towards the construction of quantum field theories from a factorizing S-matrix." Rigorous Quantum Field Theory. Springer Basel, 2007. 175-197.

BibTeX: Download