Universality class of O ( N ) models
作者： Adrian Patrascioiu , Erhard Seiler
关键词: Renormalization group 、 Magnetic susceptibility 、 Mathematical physics 、 Asymptotic freedom 、 Critical exponent 、 Physics
摘要: We point out that existing numerical data on the correlation length and magnetic susceptibility suggest two-dimensional O(3) model with standard action has a critical exponent \ensuremath{\eta}=1/4, which is inconsistent asymptotic freedom. This value of \ensuremath{\eta} also different from one Wess-Zumino-Novikov-Witten supposed to correspond at \ensuremath{\theta}=\ensuremath{\pi}. \textcopyright{} 1996 The American Physical Society.
harvard.edu
arxiv.org
sci-hub.se 参考文章(14)
Jürg Fröhlich, Thomas Spencer, The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas Communications in Mathematical Physics. ,vol. 81, pp. 527- 602 ,(1981) , 10.1007/BF01208273
A. Patrascioiu, E. Seiler, Percolation theory and the existence of a soft phase in 2D spin models Nuclear Physics B - Proceedings Supplements. ,vol. 30, pp. 184- 191 ,(1993) , 10.1016/0920-5632(93)90188-C
Adrian Patrascioiu, Erhard Seiler, Superinstantons and the reliability of perturbation theory in non-Abelian models. Physical Review Letters. ,vol. 74, pp. 1920- 1923 ,(1995) , 10.1103/PHYSREVLETT.74.1920
J M Kosterlitz, The critical properties of the two-dimensional xy model Journal of Physics C: Solid State Physics. ,vol. 7, pp. 1046- 1060 ,(1974) , 10.1088/0022-3719/7/6/005
Ulli Wolff, Asymptotic freedom and mass generation in the O(3) nonlinear σ-model Nuclear Physics. ,vol. 334, pp. 581- 610 ,(1990) , 10.1016/0550-3213(90)90313-3
Rajan Gupta, Clive F. Baillie, Critical behavior of the two-dimensional XY model. Physical Review B. ,vol. 45, pp. 2883- 2898 ,(1992) , 10.1103/PHYSREVB.45.2883
R. Kenna, A.C. Irving, Logarithmic corrections to scaling in the two-dimensional XY model Physics Letters B. ,vol. 351, pp. 273- 278 ,(1995) , 10.1016/0370-2693(95)00316-D
P. Butera, M. Comi, Quantitative study of the Kosterlitz-Thouless phase transition in an XY model of two-dimensional plane rotators: High-temperature expansions to order beta 20. Physical Review B. ,vol. 47, pp. 11969- 11979 ,(1993) , 10.1103/PHYSREVB.47.11969
John Apostolakis, Clive F. Baillie, Geoffrey C. Fox, Investigation of the two-dimensional O(3) model using the overrelaxation algorithm. Physical Review D. ,vol. 43, pp. 2687- 2693 ,(1991) , 10.1103/PHYSREVD.43.2687
Ian Affleck, Nonlinear σ model at θ=π: Euclidean lattice formulation and solid-on-solid models Physical Review Letters. ,vol. 66, pp. 2429- 2432 ,(1991) , 10.1103/PHYSREVLETT.66.2429