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Jones, Vaughan F. R.

A no-go theorem for the continuum limit of a periodic quantum spin chain. (English) Zbl 1397.82025

Commun. Math. Phys. 357, No. 1, 295-317 (2018).
It is established (see Section 4) 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 a translation on the circle as a continuous limit of the rotations on the lattice.
Reviewer: Farruh Mukhamedov (Kuantan)

Cited in 29 Documents

MSC:

82B28 Renormalization group methods in equilibrium statistical mechanics
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
17B81 Applications of Lie (super)algebras to physics, etc.
22E70 Applications of Lie groups to the sciences; explicit representations

Keywords:

continuum limit; quantum spin chain; renormalization; conformal field theory
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References:

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