A No-Go Theorem for the Continuum Limit of a Periodic Quantum Spin Chain

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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Veröffentlicht in:Communications in mathematical physics 2018, Vol.357 (1), p.295-317
1. Verfasser: Jones, Vaughan F. R.
Format: Artikel
Sprache:eng
Schlagworte:
Chains
Classical and Quantum Gravitation
Complex Systems
Continuity (mathematics)
Field theory
Hilbert space
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Quantum theory
Relativity Theory
Theoretical
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Zusammenfassung: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:0010-3616
1432-0916
DOI:10.1007/s00220-017-2945-3