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arXiv · 1212.1757

Radial Quantization for Conformal Field Theories on the Lattice

Richard C. Brower·George T. Fleming·Herbert Neuberger
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Abstract

We consider radial quantization for conformal quantum field theory with a lattice regulator. A Euclidean field theory on $\mathbb R^D$ is mapped to a cylindrical manifold, $\mathbb R\times \mathbb S^{D-1}$, whose length is logarithmic in scale separation. To test the approach, we apply this to the 3D Ising model and compute $η$ for the first $Z_2$ odd primary operator.

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Richard C. Brower, George T. Fleming, Herbert Neuberger. 2012-12-08. Radial Quantization for Conformal Field Theories on the Lattice. https://arxiv.org/abs/1212.1757

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