Conformal invariance and the spectrum of the quantum Ashkin-Teller chain near the decoupling point

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Abstract

The complete spectrum of the critical quantum Ashkin-Teller chain is solved exactly in the finite size scaling limit near the Ising decoupling point. The model is transformed into two spin 1 2 fermion systems, where the interaction energy in first order is proportional to the product of the subsystem magnetizations. The spectrum of the model consists of infinitely many conformal towers, and the anomalous dimensions of the different operators are consistent with the Gaussian form.

Original languageEnglish
Pages (from-to)15-19
Number of pages5
JournalNuclear Physics B - Proceedings Supplements
Volume5
Issue number1
DOIs
Publication statusPublished - 1988

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decoupling
invariance
towers
fermions
scaling
operators
magnetization
products
interactions
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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title = "Conformal invariance and the spectrum of the quantum Ashkin-Teller chain near the decoupling point",
abstract = "The complete spectrum of the critical quantum Ashkin-Teller chain is solved exactly in the finite size scaling limit near the Ising decoupling point. The model is transformed into two spin 1 2 fermion systems, where the interaction energy in first order is proportional to the product of the subsystem magnetizations. The spectrum of the model consists of infinitely many conformal towers, and the anomalous dimensions of the different operators are consistent with the Gaussian form.",
author = "F. Igl{\'o}i",
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AB - The complete spectrum of the critical quantum Ashkin-Teller chain is solved exactly in the finite size scaling limit near the Ising decoupling point. The model is transformed into two spin 1 2 fermion systems, where the interaction energy in first order is proportional to the product of the subsystem magnetizations. The spectrum of the model consists of infinitely many conformal towers, and the anomalous dimensions of the different operators are consistent with the Gaussian form.

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