English

Scale Anomaly and Quantum Chaos in the Billiards with Pointlike Scatterers

High Energy Physics - Theory 2014-11-18 v1 chao-dyn Chaotic Dynamics Nuclear Theory Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9512162,
  title  = {Scale Anomaly and Quantum Chaos in the Billiards with Pointlike Scatterers},
  author = {Taksu Cheon and Takaomi Shigehara},
  journal= {arXiv preprint arXiv:hep-th/9512162},
  year   = {2014}
}

Comments

10 pages, RevTex file, uuencoded