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Corner transfer matrices and Lorentz invariance on a lattice. (English) Zbl 0596.58050
Summary: The continuum limit of the Baxter eight-vertex lattice model is the Lorentz invariant massive Thirring/sine-Gordon field theory. Here it is shown that the Baxter model exhibits a continuous symmetry which is an exact lattice generalization of Lorentz invariance, and that the corner transfer matrix recently developed by Baxter is a lattice boost operator. The role of elliptic function parameters as lattice rapidity variables is discussed.

MSC:
58J90 Applications of PDEs on manifolds
81T20 Quantum field theory on curved space or space-time backgrounds
81T25 Quantum field theory on lattices
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