| EPSRC Reference: |
GR/M97497/01 |
| Title: |
ALGEBRAIC APPROACHES TO SOLVABLE LATTICE MODELS |
| Principal Investigator: |
Weston, Dr R |
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| Department: |
S of Mathematical and Computer Sciences |
| Organisation: |
Heriot-Watt University |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 September 2000 |
Ends: |
31 August 2003 |
Value (£): |
127,919
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The proposed work considers two algebraic approaches to solvable lattice models. The first is the vertex operator approach. This will be applied to RSOS and dilute-bond ABF models. The main task is to construct mathematical and physical pictures of the analogue of conformal field theory primary operators. The primary mathematical definition of these q-primary operators will be via a coset construction, the physical construction in terms of half-infinite lattice insertions. We will use these operators to compute impurity correlation functions. The second approach is a new variant of the Bethe Ansatz. In this method a change of basis is defined in terms of a certain twisting operation. The result is that the relation between a local spin operator and the components of the monodromy matrix is greatly simplified, as is the calculation of correlation functions. We will develop and extend the method, and apply it to compute correlation functions and form-factors for the infinite-volume XXZ model. Using the understanding we have gained, we will then construct a correspondence with the vertex operator approach. Finally, we shall find the appropriate twist for he 8-vertex and ABF models and use the method to compute finite-volume correlation functions for these models.
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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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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.hw.ac.uk |