Poul H Damgaard and Peter E Haagensen 1997 J. Phys. A: Math. Gen. 30 4681 doi:10.1088/0305-4470/30/13/019
Constraints on beta functions from duality
Poul H Damgaard
and Peter E Haagensen
We analyse the way in which duality constrains the exact beta function and correlation length in single-coupling spin systems. We propose a consistency condition which shows very concisely the relation between self-dual points and phase transitions, and implies that the correlation length must be duality invariant. These ideas are then tested on the two-dimensional Ising model, and used towards finding the exact beta function of the q-state Potts model. Finally, a generic procedure is given for identifying a duality symmetry in other single-coupling models with a continuous phase transition.
- PACS
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
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Issue 13 (7 July 1997)
Received 13 March 1997
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Constraints on beta functions from duality
Poul H Damgaard and Peter E Haagensen 1997 J. Phys. A: Math. Gen. 30 4681
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