Running Boundary Condition

Details Running Boundary Condition Running Boundary Condition

2010-05-25

arxiv.org/abs/1005.4676v1

Prog.Theor.Phys.125:225-245,2011

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 8 eepic figures, BibTeX

Scientific paper

10.1143/PTP.125.225

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.

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