Perturbative and Geometric Analysis of the Quartic Kontsevich Model

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Authors: Branahl, Johannes, Hock, Alexander, Wulkenhaar, Raimar
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211442
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...