Massive Modes for Quantum Graphs

Autor: Weidenmüller, Hans A.
Rok vydání: 2018
Předmět:
Zdroj: In: Discrete and Continuous Models in the Theory of Networks, Birkhaeuser Basel 2020
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv