A no-go theorem for the continuum limit of a periodic quantum spin chain
Operator Algebras
2017-09-13 v1 Mathematical Physics
Group Theory
Geometric Topology
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1607.08769,
title = {A no-go theorem for the continuum limit of a periodic quantum spin chain},
author = {Vaughan F. R. Jones},
journal= {arXiv preprint arXiv:1607.08769},
year = {2017}
}