The Dual Symmetry and the Migdal-Kadanoff Recursion Equations
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概要
- 論文の詳細を見る
The Migdal-Kadanoff recursion equations for gauge and spin systems are found to possess a dual symmetry with respect to a scale parameter λ. It is proved that the symmetry defines a dual transformation which neatly connects the Migdal (M-) and Kadanoff-Migdal (K-) recursion relations. With a proper rescaling for vertices in lattice actions the M- and K-recursion equations can be unified into a single recursion relation, in which the above dual symmetry manifests itself-dual symmetry. A method of the λ expansion, similar to the well-known ε expansion, is proposed in order to solve the unified recursion equation analytically. The physical significance of the discovered dual symmetry is discussed for the spin as well as the gauge systems.
- 理論物理学刊行会の論文
- 1983-08-25
著者
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MATSUDA Satoshi
Department of Ophthalmology, University of Tokushima School of Medicine
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Matsuda Satoshi
Department Of Anatomy And Neuroscience Osaka University Graduate School Of Medicine
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