Universality in the 2D Ising model and conformal invariance of fermionic observables

Details Universality in the 2D Ising model and conformal invariance of fermionic observables Universality in the 2D Ising model and conformal invariance of fermionic observables

2009-10-11

arxiv.org/abs/0910.2045v2

Physics

Mathematical Physics

52 pages, 11 figures. Minor changes + two important ones: a) Section 3.4 (a priori Harnack principle for H) added; b) Section

Scientific paper

It is widely believed that the celebrated 2D Ising model at criticality has a universal and conformally invariant scaling limit, which is used in deriving many of its properties. However, no mathematical proof of universality and conformal invariance has ever been given, and even physics arguments support (a priori weaker) M\"obius invariance. We introduce discrete holomorphic fermions for the 2D Ising model at criticality on a large family of planar graphs. We show that on bounded domains with appropriate boundary conditions, those have universal and conformally invariant scaling limits, thus proving the universality and conformal invariance conjectures.

Affiliated with

Also associated with

No associations

Rating

Universality in the 2D Ising model and conformal invariance of fermionic observables 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 Universality in the 2D Ising model and conformal invariance of fermionic observables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality in the 2D Ising model and conformal invariance of fermionic observables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-463806