Quantum Anomaly and Effective Field Description of a Quantum Chaotic Billiard

Details Quantum Anomaly and Effective Field Description of a Quantum Chaotic Billiard Quantum Anomaly and Effective Field Description of a Quantum Chaotic Billiard

2004-07-30

arxiv.org/abs/cond-mat/0407802v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

We investigate the effective field theory of a quantum chaotic billiard from a new perspective of quantum anomalies, which result from the absence of continuous spectral symmetry in quantized systems. It is shown that commutators of composite operators on the energy shell acquire anomalous part. The presence of the anomaly allows one to introduce effective dual fields as phase variables without any additional coarse-graining nor ensemble averaging in a ballistic system. The spectral Husimi function plays a role as the corresponding amplitude.

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