### 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 |
---|---|

Article number | 13485 |

Pages (from-to) | 547-569 |

Number of pages | 23 |

Journal | Nuclear Physics B |

Volume | 899 |

DOIs | |

Publication status | Published - Oct 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. [13485]. https://doi.org/10.1016/j.nuclphysb.2015.08.016

**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.

Research output: Contribution to journal › Article

_{k}theory using the truncated conformal spectrum approach',

*Nuclear Physics B*, vol. 899, 13485, pp. 547-569. https://doi.org/10.1016/j.nuclphysb.2015.08.016

_{k}theory using the truncated conformal spectrum approach. Nuclear Physics B. 2015 Oct 1;899:547-569. 13485. https://doi.org/10.1016/j.nuclphysb.2015.08.016

}

TY - JOUR

T1 - Studying the perturbed Wess-Zumino-Novikov-Witten SU(2)k theory using the truncated conformal spectrum approach

AU - Konik, R. M.

AU - Pálmai, T.

AU - Takács, G.

AU - Tsvelik, A. M.

PY - 2015/10/1

Y1 - 2015/10/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84940099930&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84940099930&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2015.08.016

DO - 10.1016/j.nuclphysb.2015.08.016

M3 - Article

AN - SCOPUS:84940099930

VL - 899

SP - 547

EP - 569

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

M1 - 13485

ER -