Integrability, non-perturbative effects, and symmetry in quantum field theory

A TMR Physics Network.

EC contract number FMRX-CT96-0012
Start date 1-10-1996. End date 30-9-2000. Duration 48 months.


Ed Corrigan,
University of Durham, Mathematical Sciences
South Road, Durham DH1 3LE, GB.

Tel + 44-191 3742372, Fax + 44-191 3747388

Other participants:

In addition to these, some members of the following universities (contact names in brackets) are collaborating with the principal partners and are considered part of the above nodes:

Summary of objectives:

There are two long-term objectives: to find a unified consistent theory of the elementary particles and their interactions, and to provide techniques for the calculation of non-perturbative effects in quantum field theory or in string theory. The first objective recognises the shortcomings of the Standard Model of elementary particles, including the serious problem of incorporating gravity within the framework of renormalisable quantum field theory. One immediate task is to clarify the role of hidden symmetries such as extended conformal symmetry or weak-strong coupling symmetries, in order to be able to make use of them non-pertubatively, and in order to expose the true nature of string theory. Another task is to study two-dimensional models in which hidden symmetries play a part but for which the role of the symmetry is more transparent. Some of these, the affine Toda field theories, also exhibit a weak-strong coupling duality and other non-perturbative effects which need to be properly understood.

Page maintained by:
Ed Corrigan,
last change 6 April 1999.