Removability of the Topological Term in the O(3) Nonlinear σ-model

  • It is shown that the topological term in the O(3) nonlinear σ-model can be removed by a suitable canonical transformation in the classical theory of the model.In this paper,the quantum unitary transformation corresponding to the classical canonical transformation is found.The meaning of the unitary transformation and the removability of the topological term are then discussed.
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  • [1] A. M. Polyakov, Phys. Lett., 59B(1975), 79; 72B(1977), 224.[2] A, T. BelavinA. M. Polyakov, JEPP Lett., 22(1975), 245.[3] E. BrezinJ. Zinn-Justin, Phys. Rev., B14(1976), 3110,[4] H. Eichenher, Nucl. Phys., B146(1978), 215; 8155(1979), 544.[5] E. Witten, Phys. Lets., B149(1984), .351.[6] H. Levin, S. B. Libby A. M. M. Prutsken, Nucl. Phys., B240(1984), 30.[7] I. Affleck, Nucl, Phys., B257(1985), 397; B265(1986), 409.[8] I. Affleck, Phys. Rev. Lett, 56(1986), 408; 57(1986), 1048.[9] I. Dzyaloshinskii, A. M. PolyakovP. Wiegmann, Phys. Lett., A127(1988), 112.[10] A. M. Polyakov, Mod. Phys. Lett, A3(1988), 325.[11] S. Chakravarty, B. I, HaiperinD. R. Nelson, Phys, Rev. Lett 60(1988), 1057.[12] X. G. WenA. Zee, Phys. Rev. Lett., 63(1989), 461.[13] 高孝纯,汪涌,许晶波,李文铸,高能物理与核物理,13(1989),527.[14] 葛墨林,牛云,科学通报,34(1989),1131; J. Phys. A22(1989), L987.[15] G. Giaravarint, E. Gozzi, D. RohrlichW D. Tliacker, J. Phys., A22(1989), 3513.[16] T. L. Olozyk, P. K. PanigrahiS. Ramaswainy, Z. Phyr,C45(1990), 653.[17] W. MarcianoH. Pagels, Phys. Rep., C36( 1978), 254.[18] P. D. PecceiQuinn. Phys. Rev. Lett., 38(1977), 1440; S. M, Bar, X. C. Gao(高孝纯)D. B. Reiss. Phys.Rev., D25(1982), 2176.[19] B. BergM. Luscher, Comm. Math. Phys., 69(1979), 57; Nucl. Phys. B150(1979), 281; V. A. Fateev, I. V.FrolovA. S. Schwarz, Nucl. Phys,B(154) (1979), 1.
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GAO Xiao-Chun, XU Jing-Bo, YAN Ji-Jin and LI Wen-Zhu. Removability of the Topological Term in the O(3) Nonlinear σ-model[J]. Chinese Physics C, 1991, 15(7): 591-597.
GAO Xiao-Chun, XU Jing-Bo, YAN Ji-Jin and LI Wen-Zhu. Removability of the Topological Term in the O(3) Nonlinear σ-model[J]. Chinese Physics C, 1991, 15(7): 591-597. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Removability of the Topological Term in the O(3) Nonlinear σ-model

    Corresponding author: GAO Xiao-Chun,
  • Department of Physics,Zhejiang University,Hangzhou 310027

Abstract: It is shown that the topological term in the O(3) nonlinear σ-model can be removed by a suitable canonical transformation in the classical theory of the model.In this paper,the quantum unitary transformation corresponding to the classical canonical transformation is found.The meaning of the unitary transformation and the removability of the topological term are then discussed.

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