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Details of Grant 

EPSRC Reference: GR/L15623/01
Title: INTEGRABLE QUANTUM FIELD THEORIES AND ELECTROMAGNETIC DUALITY
Principal Investigator: Olive, Professor D
Other Investigators:
Hollowood, Professor TJ Dorey, Professor N
Researcher Co-Investigators:
Project Partners:
Department: Physics
Organisation: Swansea University
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 1996 Ends: 30 September 1999 Value (£): 124,800
EPSRC Research Topic Classifications:
Mathematical Physics
EPSRC Industrial Sector Classifications:
Related Grants:
Panel History:  
Summary on Grant Application Form
Our main proposal is to investigate non-perturbative phenomena, in certain kinds of quantum field theories, by establishing exact analytical results not dependent on the usual approximations of perturbation theory. More specifically, we plan to study integrable and supersymmetric theories in both two dimensions and in four dimensions. A common feature of these types of theory is that they display soliton/monopole behaviour; we intend to build on our long-standing expertise in this area. In the four dimensional context we shall investigate the exciting possibility that gauge theories as strong coupling can be solved in terms of a weakly coupled dual theory, where the solitons of the dual theory are the particles of the original theory, and vice-versa. In particular we intend to investigate the nature of this electro-magnetic duality in cases when the gauge group of the theory is non-abelian. Similar phenomena can occur in two dimensional integrable theories, and in this context we intend to investigate the exact scattering matrices of the particle states.
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Organisation Website: http://www.swan.ac.uk