Borel summability of the \(1/N\) expansion in quartic \(\mathrm{O}(N)\)-vector models

DOI10.1007/s00023-023-01350-warXiv2209.09045MaRDI QIDQ6122839

Razvan Gurau, L. Ferdinand, Carlos I. Pérez-Sánchez, Fabien Vignes-Tourneret

Publication date: 1 March 2024

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.09045

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Probability theory on algebraic and topological structures (60Bxx) Special methods of summability (40Gxx)

Cites Work

• Constructive field theory in zero dimension
• Constructive tensor field theory: the \(T_{4}^{4}\) model
• Analyticity results for the cumulants in a random matrix model
• Constructive \(\phi^{4}\) field theory without tears
• The \(1/N\) expansion of tensor models beyond perturbation theory
• Constructive tensor field theory: the \({T^4_3}\) model
• An improvement of Watson’s theorem on Borel summability
• Corrected loop vertex expansion for Φ24 theory
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