Perturbative and Geometric Analysis of the Quartic Kontsevich Model

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• Hauptverfasser: Branahl, Johannes, Hock, Alexander, Wulkenhaar, Raimar
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211442
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Perturbative and Geometric Analysis of the Quartic Kontsevich Model. Johannes Branahl, Alexander Hock and Raimar Wulkenhaar. SIGMA 17 (2021), 085, 33 pages

The analogue of Kontsevich's matrix Airy function, with the cubic potential Tr(Φ³) replaced by a quartic term Tr(Φ⁴) with the same covariance, provides a toy model for quantum field theory in which all correlation functions can be computed exactly and explicitly. In this paper, we show that dis...