A no-go theorem for the continuum limit of a periodic quantum spin chain

We show that the Hilbert space formed from a block spin renormalization construction of a cyclic quantum spin chain (based on the Temperley-Lieb algebra) does not support a chiral conformal field theory whose Hamiltonian generates translation on the circle as a continuous limit of the rotations on t...

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Bibliographic Details
Published in:arXiv.org 2016-07
Main Author: Jones, Vaughan F R
Format: Article
Language:English
Subjects:
Chains
Field theory
Hilbert space
Quantum theory
Online Access:Get full text
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Summary:We show that the Hilbert space formed from a block spin renormalization construction of a cyclic quantum spin chain (based on the Temperley-Lieb algebra) does not support a chiral conformal field theory whose Hamiltonian generates translation on the circle as a continuous limit of the rotations on the lattice.
ISSN:2331-8422
DOI:10.48550/arxiv.1607.08769