Running Boundary Condition(General and Mathematical Physics)
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概要
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In this paper we argue that boundary condition may run with energy scale. As an illustrative example, we consider one-dimensional quantum mechanics for a spinless particle that freely propagates in the bulk yet interacts only at the origin. In this setting we find the renormalization group flow of U (2) family of boundary conditions exactly. We show that the well-known scale-independent subfamily of boundary conditions are realized as fixed points. We also discuss the duality between two distinct boundary conditions from the renormalization group point of view. Generalizations to conformal mechanics and quantum graph are also discussed.
- 2011-02-25
著者
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SAKAMOTO Makoto
Department of Information Science and Technology, Oshima National College of Maritime Technology
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Sakamoto Makoto
Department Fo Physics Kobe University
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Ohya Satoshi
Graduate School Of Science And Technology Kobe University
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Tachibana Motoi
Department of Physics, Saga University
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Ohya Satoshi
Infn Sezione Di Pisa
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Tachibana Motoi
Department Of Physics Saga University
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Sakamoto Makoto
Department Of Physics Kobe University
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