Theory of a Fusion Field Composed of Free Massless Spinor Fields in Two Dimensions
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概要
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A theory of a free massless fusion field composed of free massless spinor fields are investigated in the framework of the indefinite-metric quantum field theory. It is found that the free theory already contains interesting features characteristic of two-dimensional massless models. On the basis of finite-volume considerations, a massless "scalar" fusion theory is constructed consistently in the infinite-volume limit. Two different sets of charge operators are found to exist. Subsidiary conditions in terms of the charges define the positive-definite physical Hilbert space H_<phys>. However the conditions are not unique and lead us to different structures of the Hilbert space. Some cases have the unique vacuum in H_<phys>, whereas other cases have vacuum degeneracy, i.e., the vacua characterized in terms of one or two parameters (θ-vacua). Which realization of the symmetries generated by the charges shows up depends on the vacuum chosen. Various cases are possible. Poincare transformations are discussed. The fusion fields are not Lorentz scalars in a strict sense, but they behave as scalars in H_<phys>.
- 理論物理学刊行会の論文
- 1982-03-25
著者
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TAMEIKE Seiichi
Department of Physics, Kanazawa University
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Suzuki Tsuneo
Department Of Forensic Medicine Yamagata University School Of Medicine
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Tameike Seiichi
Department Of Physics Kanazawa University
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TAMEIKE Seiichi
Department of Physics, Kanazawa University:On leave from Department of Physics, Kyushu University
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