The O(N) nonlinear sigma model in the functional Schrodinger picture

被引:5
|
作者
Kim, DK
Kim, CK
机构
[1] Elect & Telecommun Res Inst, Taejon 305600, South Korea
[2] Yonsei Univ, Dept Phys, Seoul 120749, South Korea
[3] Yonsei Univ, Inst Math Sci, Seoul 120749, South Korea
来源
关键词
D O I
10.1088/0305-4470/31/28/016
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a functional Schrodinger picture formalism of the (1 + 1)-dimensional O(N) nonlinear sigma model. The energy density has been calculated to two-loop order using the wavefunctional of Gaussian form, and from which the non-perturbative mass gap of the boson fields has been obtained. The functional Schrodinger picture approach combined with the variational technique is shown to describe the characteristics of the ground state of the nonlinear sigma model in a transparent way.
引用
收藏
页码:6029 / 6036
页数:8
相关论文
共 50 条
  • [41] Supersymmetric nonlinear O(3) sigma model on the lattice
    Flore, Raphael
    Koerner, Daniel
    Wipf, Andreas
    Wozar, Christian
    JOURNAL OF HIGH ENERGY PHYSICS, 2012, (11):
  • [42] On topological terms in the O(3) nonlinear sigma model
    Tsurumaru, T
    Tsutsui, I
    PHYSICS LETTERS B, 1999, 460 (1-2) : 94 - 102
  • [43] SPHALERONS OF O(3) NONLINEAR SIGMA MODEL ON A CIRCLE
    FUNAKUBO, K
    OTSUKI, S
    TOYODA, F
    PROGRESS OF THEORETICAL PHYSICS, 1990, 83 (01): : 118 - 133
  • [44] Analytic study of O(3) nonlinear sigma model
    Li, H
    Huang, LX
    Chen, TL
    COMMUNICATIONS IN THEORETICAL PHYSICS, 1995, 24 (04) : 475 - 480
  • [45] The BCS superconductivity in the functional Schrodinger picture revisited
    Song, J
    Hyun, S
    Kim, CK
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 1996, 29 (06) : 821 - 823
  • [46] GLOBAL SPACETIME SYMMETRIES IN THE FUNCTIONAL SCHRODINGER PICTURE
    HALLIWELL, JJ
    PHYSICAL REVIEW D, 1991, 43 (08): : 2590 - 2609
  • [47] Functional Schrodinger Picture Formalism for Pairing Correlations
    Lee, Hyuk-jae
    Cheoun, Myung-Ki
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2009, 55 (05) : 2099 - 2103
  • [48] QUANTIZATION OF O(N) INVARIANT NONLINEAR SIGMA-MODEL IN THE BATALIN-TYUTIN FORMALISM
    BANERJEE, N
    GHOSH, S
    BANERJEE, R
    NUCLEAR PHYSICS B, 1994, 417 (1-2) : 257 - 266
  • [49] POISSON-LIE STRUCTURE OF O(N) NONLINEAR SIGMA-MODEL IN MOVING FRAMES
    WANG, YS
    HOU, BY
    HIGH ENERGY PHYSICS & NUCLEAR PHYSICS-ENGLISH EDITION, 1994, 18 (04): : 345 - 355
  • [50] Classical O(N) nonlinear sigma model on the half line:: a study on consistent Hamiltonian description
    He, WL
    Zhao, L
    PHYSICS LETTERS B, 2003, 570 (3-4) : 251 - 259