Thermodynamical Bethe Ansatz analysis in an SU(2) X U(1) symmetric σ-model

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral σ-model (with SU(2) X U(1) symmetry). The model exhibits both 'fermionic' and 'bosonic' type free energies and in all cases the perturbative and the TBA results are in perfect agreement, strongly supporting the correctness of the proposed S matrix. The mass gap is also computed in terms of the Λ parameters of the modified minimal subtraction scheme and a lattice regularized version of the model.

Original languageEnglish
Pages (from-to)655-684
Number of pages30
JournalNuclear Physics B
Volume570
Issue number3
Publication statusPublished - Mar 27 2000

Fingerprint

free energy
subtraction
perturbation theory
symmetry
matrices

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Thermodynamical Bethe Ansatz analysis in an SU(2) X U(1) symmetric σ-model. / Balog, J.; Forgács, P.

In: Nuclear Physics B, Vol. 570, No. 3, 27.03.2000, p. 655-684.

Research output: Contribution to journalArticle

@article{188d735537fe4dbfbd66193b12a91c42,
title = "Thermodynamical Bethe Ansatz analysis in an SU(2) X U(1) symmetric σ-model",
abstract = "Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral σ-model (with SU(2) X U(1) symmetry). The model exhibits both 'fermionic' and 'bosonic' type free energies and in all cases the perturbative and the TBA results are in perfect agreement, strongly supporting the correctness of the proposed S matrix. The mass gap is also computed in terms of the Λ parameters of the modified minimal subtraction scheme and a lattice regularized version of the model.",
author = "J. Balog and P. Forg{\'a}cs",
year = "2000",
month = "3",
day = "27",
language = "English",
volume = "570",
pages = "655--684",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Thermodynamical Bethe Ansatz analysis in an SU(2) X U(1) symmetric σ-model

AU - Balog, J.

AU - Forgács, P.

PY - 2000/3/27

Y1 - 2000/3/27

N2 - Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral σ-model (with SU(2) X U(1) symmetry). The model exhibits both 'fermionic' and 'bosonic' type free energies and in all cases the perturbative and the TBA results are in perfect agreement, strongly supporting the correctness of the proposed S matrix. The mass gap is also computed in terms of the Λ parameters of the modified minimal subtraction scheme and a lattice regularized version of the model.

AB - Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral σ-model (with SU(2) X U(1) symmetry). The model exhibits both 'fermionic' and 'bosonic' type free energies and in all cases the perturbative and the TBA results are in perfect agreement, strongly supporting the correctness of the proposed S matrix. The mass gap is also computed in terms of the Λ parameters of the modified minimal subtraction scheme and a lattice regularized version of the model.

UR - http://www.scopus.com/inward/record.url?scp=0034719555&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034719555&partnerID=8YFLogxK

M3 - Article

VL - 570

SP - 655

EP - 684

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -