| EPSRC Reference: |
GR/R44034/01 |
| Title: |
Functional Relations and Their Solutions in Integrable Quantum Field Theory |
| Principal Investigator: |
Dunning, Dr TC |
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| Department: |
Mathematics |
| Organisation: |
University of York |
| Scheme: |
Postdoc Res Fellowship PreFEC |
| Starts: |
01 October 2001 |
Ends: |
30 September 2003 |
Value (£): |
70,630
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Massive integrable quantum field theories explored from the point of view of a perturbed conformal field theory have undergone much study in the last twenty years. I hope to extend and develop some of the current techniques to the problem of integrable models that describe renormalisation group flows between scale-invariant models. One of the first tasks will be to construct the S-matrices describing the scattering of two massless kinks.The importance of functional relations in intergrable quantum field theory, both massive and massless, has grown in the past few years, closely following developments in the related field of solvable lattice models. A further aim of this research is to gain a clearer understanding of the emerging connection between scale-invariant integrable quantum field theory and the theory of ordinary differential equations in the complex plane; a connection which rests on a set of functional relations. I hope to investigate the possibility of quantum machanical partners for the finite-size lattice models as well as generalising the correspondence to cover quantum field theories that possess a mass scale.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.york.ac.uk |