Scale Anomaly and Quantum Chaos in the Billiards with Pointlike Scatterers

Details Scale Anomaly and Quantum Chaos in the Billiards with Pointlike Scatterers Scale Anomaly and Quantum Chaos in the Billiards with Pointlike Scatterers

1995-12-20

arxiv.org/abs/hep-th/9512162v1

Physical Review E 54 (1996) 3300-3303

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, RevTex file, uuencoded

Scientific paper

10.1103/PhysRevE.54.3300

We argue that the random-matrix like energy spectra found in pseudointegrable
billiards with pointlike scatterers are related to the quantum violation of
scale invariance of classical analogue system. It is shown that the behavior of
the running coupling constant explains the key characteristics of the level
statistics of pseudointegrable billiards.

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