### Abstract

TBA integral equations are proposed for one-particle states in the sausage and SS models and their σ -model limits. Combined with the ground-state TBA equations the exact mass gap is computed in the O(3) and O(4) nonlinear σ-model and the results are compared to 3-loop perturbation theory and Monte Carlo data.

Original language | English |
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Pages (from-to) | 1881-1901 |

Number of pages | 21 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 37 |

Issue number | 5 |

DOIs | |

Publication status | Published - Feb 6 2004 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**TBA equations for excited states in the O(3) and O(4) nonlinear σ-model.** / Balog, J.; Hegedűs, A.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 37, no. 5, pp. 1881-1901. https://doi.org/10.1088/0305-4470/37/5/027

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TY - JOUR

T1 - TBA equations for excited states in the O(3) and O(4) nonlinear σ-model

AU - Balog, J.

AU - Hegedűs, A.

PY - 2004/2/6

Y1 - 2004/2/6

N2 - TBA integral equations are proposed for one-particle states in the sausage and SS models and their σ -model limits. Combined with the ground-state TBA equations the exact mass gap is computed in the O(3) and O(4) nonlinear σ-model and the results are compared to 3-loop perturbation theory and Monte Carlo data.

AB - TBA integral equations are proposed for one-particle states in the sausage and SS models and their σ -model limits. Combined with the ground-state TBA equations the exact mass gap is computed in the O(3) and O(4) nonlinear σ-model and the results are compared to 3-loop perturbation theory and Monte Carlo data.

UR - http://www.scopus.com/inward/record.url?scp=1242314671&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1242314671&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/37/5/027

DO - 10.1088/0305-4470/37/5/027

M3 - Article

VL - 37

SP - 1881

EP - 1901

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 5

ER -