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非线性σ模型

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量子场论中,非线性σ模型(nonlinear sigma model) 描述一个纯量场 。M是目标流形。属于闵考斯基时空[1]

定义

若M有黎曼张量 g拉格朗日量[2]

O(3)非线性σ模型

。二维的非线性O(3)模型是

其中

n是 S2→ S2 的函数。第三个同伦群

可以将这些函数分类。上文理论的经典解是O(3) 瞬子

参见

参考文献

  1. ^ Gell-Mann, M.; Lévy, M., The axial vector current in beta decay, Il Nuovo Cimento (Italian Physical Society), 1960, 16: 705–726, Bibcode:1960NCim...16..705G, ISSN 1827-6121, doi:10.1007/BF02859738 
  2. ^ Gürsey, F. On the symmetries of strong and weak interactions. Il Nuovo Cimento. 1960, 16 (2): 230–240. Bibcode:1960NCim...16..230G. doi:10.1007/BF02860276. 

外部链接

  • Ketov, S. V. Nonlinear Sigma model on Scholarpedia.
  • U. Kulshreshtha, D.S. Kulshreshtha and H.J.W. Mueller-Kirsten, ``Gauge invariant O(N) nonlinear sigma model(s) and gauge invariant Klein-Gordon theory: Wess-Zumino terms and Hamiltonian and BRST formulations``, Helv.Phys.Acta 66 752-794 (1993); U. Kulshreshtha and D.S. Kulshreshtha, ``Front-form Hamiltonian, path integral and BRST formulations of the nonlinear sigma model``, Int. J. Theor. Phys. 41, 1941-1956 (2002), DOI: 10.1023/A:1021009008129.
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非线性σ模型
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