Massive Modes for Quantum Graphs
Quantum Physics
2021-06-15 v1 High Energy Physics - Theory
Abstract
The spectral two-point function of chaotic quantum graphs is expected to be universal. Within the supersymmetry approach, a proof of that assertion amounts to showing that the contribution of non-universal (or massive) modes vanishes in the limit of infinite graph size. Here we pay particular attention to the fact that the massive modes are defined in a coset space. Using the assumption that the spectral gap of the Perron-Frobenius operator remains finite in the limit, we then argue that the massive modes are indeed negligible.
Cite
@article{arxiv.1812.00655,
title = {Massive Modes for Quantum Graphs},
author = {Hans A. Weidenmüller},
journal= {arXiv preprint arXiv:1812.00655},
year = {2021}
}