Studying the perturbed Wess-Zumino-Novikov-Witten SU(2)k theory using the truncated conformal spectrum approach

R. M. Konik, T. Pálmai, G. Takács, A. M. Tsvelik

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Abstract

We study the SU(2)k Wess-Zumino-Novikov-Witten (WZNW) theory perturbed by the trace of the primary field in the adjoint representation, a theory governing the low-energy behavior of a class of strongly correlated electronic systems. While the model is non-integrable, its dynamics can be investigated using the numerical technique of the truncated conformal spectrum approach combined with numerical and analytical renormalization groups (TCSA+RG). The numerical results so obtained provide support for a semiclassical analysis valid at k≫1. Namely, we find that the low energy behavior is sensitive to the sign of the coupling constant, λ. Moreover, for λ>0 this behavior depends on whether k is even or odd. With k even, we find definitive evidence that the model at low energies is equivalent to the massive O(3) sigma model. For k odd, the numerical evidence is more equivocal, but we find indications that the low energy effective theory is critical.

Original languageEnglish
Article number13485
Pages (from-to)547-569
Number of pages23
JournalNuclear Physics B
Volume899
DOIs
Publication statusPublished - Oct 1 2015

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Studying the perturbed Wess-Zumino-Novikov-Witten SU(2)k theory using the truncated conformal spectrum approach. / Konik, R. M.; Pálmai, T.; Takács, G.; Tsvelik, A. M.

In: Nuclear Physics B, Vol. 899, 13485, 01.10.2015, p. 547-569.

Research output: Contribution to journalArticle

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