The Lattice-Continuum Correspondence in the Ising Model
arXiv:1912.13462
Abstract
Starting from the operator algebra of the (1+1)D Ising model on a spatial lattice, this paper explicitly constructs a subalgebra of smooth operators that are natural candidates for continuum fields in the scaling limit. At the critical value of the transverse field, these smooth operators are analytically shown to reproduce the operator product expansions found in the Ising conformal field theory.
arXiv comment8 pages + appendices, v2: added some corrections, clarifications, and references
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Cited by in corpus (5)
- The Ultraviolet Structure of Quantum Field Theories. Part 1: Quantum Mechanics
- The Ultraviolet Structure of Quantum Field Theories. Part 2: What is Quantum Field Theory?
- The Ultraviolet Structure of Quantum Field Theories. Part 3: Gauge Theories
- Entanglement Entropy across the Lattice-Continuum Correspondence
- Confinement and Flux Attachment