Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model

Details Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model

2007-07-31

arxiv.org/abs/0708.0039v1

Physics

Mathematical Physics

Scientific paper

We construct discrete holomorphic observables in the Ising model at criticality and show that they have conformally covariant scaling limits (as mesh of the lattice tends to zero). In the sequel those observables are used to construct conformally invariant scaling limits of interfaces. Though Ising model is often cited as a classical example of conformal invariance, it seems that ours is the first paper where it is actually established.

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