### 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 language | English |
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Pages (from-to) | 547-569 |

Number of pages | 23 |

Journal | Nuclear Physics B |

Volume | 899 |

DOIs | |

Publication status | Published - okt. 1 2015 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

_{k}theory using the truncated conformal spectrum approach.

*Nuclear Physics B*,

*899*, 547-569. https://doi.org/10.1016/j.nuclphysb.2015.08.016