New correlation duality relations for the planar Potts model

Details New correlation duality relations for the planar Potts model New correlation duality relations for the planar Potts model

2001-02-05

arxiv.org/abs/cond-mat/0102078v1

J. Stat. Phys. 107, 919-940 (2002)

Physics

Condensed Matter

Scientific paper

We introduce a new method to generate duality relations for correlation functions of the Potts model on planar graphs. The method extends previously known results, by allowing the consideration of the correlation function for arbitrarily placed vertices on the graph. We show that generally it is linear combinations of correlation functions, not the individual correlations, that are related by dualities. The method is illustrated in several non-trivial cases, and the relation to earlier results is explained. A graph-theoretical formulation of our results in terms of rooted dichromatic, or Tutte, polynomials is also given.

Affiliated with

Also associated with

No associations

Rating

New correlation duality relations for the planar Potts model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with New correlation duality relations for the planar Potts model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New correlation duality relations for the planar Potts model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-104600