Three Dimensional Conformal Sigma Models(Particles and Fields)

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概要

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• We construct novel conformal sigma models in three dimensions. Nonlinear sigma models in three dimensions are nonrenormalizable in perturbation theory. We use the Wilsonian renormalization group equation method to find the fixed points. The existence of fixed points is extremely important in this approach to show the renormalizability. Conformal sigma models are defined as the fixed point theories of the Wilsonian renormalization group equation. The Wilsonian renormalization group equation with anomalous dimension coincides with the modified Ricci flow equation. The conformal sigma models are characterized by one parameter which corresponds to the anomalous dimension of the scalar fields. Any Einstein-Kahler manifold corresponds to a conformal field theory when the anomalous dimension is γ = -1/2. Furthermore, we investigate the properties of target spaces in detail for the two dimensional case, and we find that the target space of the fixed point theory can become compact or noncompact, depending on the value of the anomalous dimension.

• 理論物理学刊行会の論文
• 2007-06-25

著者

• HIGASHI Takeshi

  Department of Physics, Graduate School of Science, Osaka University

• ITOU Etsuko

  Yukawa Institute for Theoretical Physics, Kyoto University

• HIGASHIJIMA Kiyoshi

  Department of Physics, University of Tokyo

• Itou Etsuko

  Department Of Physics Graduate School Of Science Osaka University

• Higashijima K

  Department Of Physics Graduate School Of Science Osaka University

• Higashijima Kiyoshi

  Department Of Physics Graduate School Of Science Osaka University

• Higashi Takeshi

  Department Of Physics Graduate School Of Science Osaka University

• HIGASHIJIMA Kiyoshi

  Department of Physics,Graduate School of Science Osaka University

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