Borel Summability of the 1/N Expansion in Quartic O(N)-Vector Models

We consider a quartic O ( N ) -vector model. Using the loop vertex expansion, we prove the Borel summability in 1/ N along the real axis of the partition function and of the connected correlations of the model. The Borel summability holds uniformly in the coupling constant, as long as the latter bel...

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Bibliographic Details
Published in:Annales Henri Poincaré 2024-03, Vol.25 (3), p.2037-2064
Main Authors: Ferdinand, L., Gurau, R., Perez-Sanchez, C. I., Vignes-Tourneret, F.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Mathematical and Computational Physics
Mathematical Methods in Physics
Original Paper
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Theoretical
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Summary:We consider a quartic O ( N ) -vector model. Using the loop vertex expansion, we prove the Borel summability in 1/ N along the real axis of the partition function and of the connected correlations of the model. The Borel summability holds uniformly in the coupling constant, as long as the latter belongs to a cardioid like domain of the complex plane, avoiding the negative real axis.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-023-01350-w