Universality and conformal invariance for the Ising model in domains with boundary

被引:17
|
作者
Langlands, RP [1 ]
Lewis, MA
Saint-Aubin, Y
机构
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
[2] Univ Paris 06, Lab Phys & Haute Energies, Paris, France
[3] Univ Paris 07, Lab Phys Theor & Hautes Energies, Paris, France
[4] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada
[5] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada
关键词
Ising model; boundary conditions; renormalization group; free boson; conformal invariance; critical phenomena;
D O I
10.1023/A:1018674822185
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The partition function with boundary conditions for various two-dimensional Ising models is examined and previously unobserved properties of nonformal invariance and universality are established numerically.
引用
收藏
页码:131 / 244
页数:114
相关论文
共 50 条
  • [31] Teleparallel gravity and conformal invariance
    Bensouilah, Abdelwahab
    CANADIAN JOURNAL OF PHYSICS, 2025,
  • [32] Finitized conformal spectra of the Ising model on the Klein bottle and Mobius strip
    Chui, CHO
    Pearce, PA
    JOURNAL OF STATISTICAL PHYSICS, 2002, 107 (5-6) : 1167 - 1205
  • [33] Conformal Invariance of Voronoi Percolation
    Itai Benjamini
    Oded Schramm
    Communications in Mathematical Physics, 1998, 197 : 75 - 107
  • [34] Limit cycles and conformal invariance
    Fortin, Jean-Francois
    Grinstein, Benjamin
    Stergiou, Andreas
    JOURNAL OF HIGH ENERGY PHYSICS, 2013, (01):
  • [35] Conformal invariance of domino tiling
    Kenyon, R
    ANNALS OF PROBABILITY, 2000, 28 (02) : 759 - 795
  • [36] CONFORMAL-INVARIANCE IN 2-DIMENSIONAL PERCOLATION
    LANGLANDS, R
    POULIOT, P
    SAINTAUBIN, Y
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 30 (01) : 1 - 61
  • [37] Universality of Heisenberg?Ising chain in external fields
    Zou, Haiyuan
    Yu, Rong
    Wu, Jianda
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2020, 32 (04)
  • [38] Finitized Conformal Spectra of the Ising Model on the Klein Bottle and Möbius Strip
    C. H. Otto Chui
    Paul A. Pearce
    Journal of Statistical Physics, 2002, 107 : 1167 - 1205
  • [39] Entanglement entropy through conformal interfaces in the 2D Ising model
    Brehm, E.
    Brunner, I.
    JOURNAL OF HIGH ENERGY PHYSICS, 2015, (09):
  • [40] 3D Ising model: a view from the conformal bootstrap island
    Rychkov, Slava
    COMPTES RENDUS PHYSIQUE, 2020, 21 (02) : 185 - 198