Conformal invariance in 2-dimensional discrete field theory

Details Conformal invariance in 2-dimensional discrete field theory Conformal invariance in 2-dimensional discrete field theory

1996-09-12

arxiv.org/abs/hep-th/9609106v2

Phys.Rev. D55 (1997) 6374-6381

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, RevTeX, 2 figures included; revision of title and introduction

Scientific paper

10.1103/PhysRevD.55.6374

A discretized massless wave equation in two dimensions, on an appropriately chosen square lattice, exactly reproduces the solutions of the corresponding continuous equations. We show that the reason for this exact solution property is the discrete analog of conformal invariance present in the model, and find more general field theories on a two-dimensional lattice that exactly solve their continuous limit equations. These theories describe in general non-linearly coupled bosonic and fermionic fields and are similar to the Wess-Zumino-Witten model.

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