The Ising Model on $S^2$ - The Affine Conjecture

APA

Brower, R. (2024). The Ising Model on $S^2$ - The Affine Conjecture. Perimeter Institute for Theoretical Physics. https://pirsa.org/24040102

MLA

Brower, Richard. The Ising Model on $S^2$ - The Affine Conjecture. Perimeter Institute for Theoretical Physics, Apr. 19, 2024, https://pirsa.org/24040102

BibTex

          @misc{ scivideos_PIRSA:24040102,
            doi = {10.48660/24040102},
            url = {https://pirsa.org/24040102},
            author = {Brower, Richard},
            keywords = {Quantum Matter},
            language = {en},
            title = {The Ising Model on $S^2$ - The Affine Conjecture},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {apr},
            note = {PIRSA:24040102 see, \url{https://scivideos.org/pirsa/24040102}}
          }
          

Richard Brower Boston University

Source RepositoryPIRSA
Collection

Abstract

A formulation of the 2-dimensional Ising model on a triangulated Riemann sphere is proposed that converges to the exact conformal field theory (CFT) in the continuum limit. The solution is based on reconciling Regge's simplicial geometry for the Einstein Hilbert action with an Affine map to quantum correlators on the tangent plane. Numerical tests of the 2d Ising sphere and radial quantized phi4 theory on $R x S^2$ are presented.  Extending the method to more general fields theories on curved manifolds is discussed. 

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