Large-N Limit of N=2 Supersymmetric Q^N Model in Two Dimensions

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概要

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• We investigate non-perturbative structures of the two-dimensional N=2 supersymmetric nonlinear sigma model on the quadric surface Q^<N-2>(C)=SO(N)/SO(N-2)×U(1), which is a Hermitian symmetric space, and therefore Kahler, by using the auxiliary field and large-N methods. This model contains two kinds of non-perturbatively stable vacua;one of them is the same vacuume as that of the supersymmetric CP^<N-1>model, and the other is a new kind of vacuume, which has not yet been known to exist in two-dimensional nonlinear sigma models, the Higgs phase. We show that both of these vacua are asymptotically free. Although symmetries are broken in these vacua, there appear no massless Nambu-Goldstone bosons, in agreement with Coleman's theorem, due to the existence of two different mechanisms in these vacua, the Schwinger and the Higgs mechanisms.

• 理論物理学刊行会の論文
• 2001-02-25

著者

• HIGASHIJIMA Kiyoshi

  Department of Physics, University of Tokyo

• Higashijima K

  Department Of Physics Graduate School Of Science Osaka University

• Higashijima Kiyoshi

  Department Of Physics Graduate School Of Science Osaka University

• NITTA Muneto

  Department of Physics, Graduate School of Science, Osaka University

• KIMURA Tetsuji

  Department of Physics, Graduate School of Science, Osaka University

• TSUZUKI Makoto

  Department of Physics, Tokyo Institute of Technology

• Nitta Muneto

  Department Of Physics And Research And Education Center For Natural Sciences Keio University

• Kimura Tetsuji

  Department Of Physics Faculty Of Science Kobe University:nec Corporation

• Kimura Tetsuji

  Department Of Physics Graduate School Of Science Osaka University

• Tsuzuki Makoto

  Department Of Physics Tokyo Institute Of Technology

• HIGASHIJIMA Kiyoshi

  Department of Physics,Graduate School of Science Osaka University

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