Renormalization of the vacuum angle for a particle on a ring

Details Renormalization of the vacuum angle for a particle on a ring Renormalization of the vacuum angle for a particle on a ring

2006-07-04

arxiv.org/abs/cond-mat/0607076v1

Phys. Rev. B 74, 193311 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevB.74.193311

We analyze the vacuum (topological) angle $\theta$ renormalization for the quantum mechanical model of a particle moving around a ring, where $\theta$ is the magnetic flux through the ring. We construct a renormalization group (RG) transformation for this model and derive exact RG equations which lead to the flow diagram similar to that of the Quantum Hall effect. Renormalization of $\theta$ is seen to follow from the loss of information about the initial topological charge in the course of the RG procedure.

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