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Sum rule identities and the duality relation for the potts n-point boundary correlation function

Physical Review Letters, ISSN: 1079-7114, Vol: 79, Issue: 25, Page: 4954-4957
1997
  • 12
    Citations
  • 0
    Usage
  • 2
    Captures
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    12
    • Citation Indexes
      12
  • Captures
    2

Article Description

It is shown that certain sum rule identities exist which relate correlation functions for n Potts spins on the boundary of a planar lattice for n ≥ 4. Explicit expressions of the identities are obtained for n = 4. It is also shown that the identities provide the missing link needed for a complete determination of the duality relation for the n-point boundary correlation function. The n = 4 duality relation is obtained explicitly. More generally we deduce the number of sum rule identities as well as a cyclic inversion relation for any n, and conjecture on the general form of the duality relation. © 1997 The American Physical Society.

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