# 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.

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### 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.

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