ON THE POISSON BRACKET ALGEBRA OF MONODROMY MATRICES

被引:15
|
作者
DUNCAN, A
NICOLAI, H
NIEDERMAIER, M
机构
[1] UNIV HAMBURG,INST THEORET PHYS,W-2000 HAMBURG 50,GERMANY
[2] DESY,W-2000 HAMBURG 52,GERMANY
来源
关键词
D O I
10.1007/BF02440845
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We present a new method to deal with the endpoint ambiguities which arise in the calculation of Poisson brackets of monodromy matrices in the principal chiral model. In contrast to previous proposals our prescription yields the Yang-Baxter equation already at the classical level. © 1990 Springer-Verlag.
引用
收藏
页码:147 / 150
页数:4
相关论文
共 50 条
  • [21] POISSON BRACKET IN CLASSICAL FIELD THEORY AS A DERIVED BRACKET
    Pol'shin, S. A.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2008, 5 (07) : 1051 - 1055
  • [22] Towards a quadratic Poisson algebra for the subtracted classical monodromy of Symmetric Space Sine-Gordon theories
    Delduc, Francois
    Hoare, Ben
    Magro, Marc
    arXiv, 2023,
  • [23] Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories
    Delduc, F.
    Hoare, B.
    Magro, M.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2024, 57 (06)
  • [24] On Birkhoffian systems with Poisson bracket
    Nadjafikhah, Mehdi
    Mirala, Mansoureh
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (02): : 83 - 91
  • [25] Supersymmetry and the odd Poisson bracket
    Soroka, V
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2001, 101 : 26 - 42
  • [26] The Poisson Bracket Invariant on Surfaces
    Payette, Jordan
    ISRAEL JOURNAL OF MATHEMATICS, 2024, 262 (01) : 277 - 326
  • [27] A NOTE ON THE DERIVATION OF POISSON BRACKET
    Milounguidi, M. M.
    Moukala, N. Mahoungou
    Bossoto, B. G. R.
    ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2020, 19 (12): : 1213 - 1226
  • [28] Putting an edge to the Poisson bracket
    Bering, K
    JOURNAL OF MATHEMATICAL PHYSICS, 2000, 41 (11) : 7468 - 7500
  • [29] IDENTITY OF COMMUTATOR AND POISSON BRACKET
    BLOORE, FJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1973, 6 (02): : L7 - L8
  • [30] ON THE POISSON 3-BRACKET
    SALEEMI, BA
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 1985, 10 (02): : 219 - 221