Constructive field theory in zero dimension

DOI10.1155/2009/180159zbMath1201.81085arXiv0906.3524OpenAlexW3101588028WikidataQ58646956 ScholiaQ58646956MaRDI QIDQ606086

Vincent Rivasseau

Publication date: 16 November 2010

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3524

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Constructive quantum field theory (81T08)

Related Items (9)

A recursive enumeration of connected Feynman diagrams with an arbitrary number of external legs in the fermionic non-relativistic interacting gas ⋮ Invitation to random tensors ⋮ Note on the intermediate field representation of \(\phi^{2k}\) theory in zero dimension ⋮ Borel summability of the \(1/N\) expansion in quartic \(\mathrm{O}(N)\)-vector models ⋮ The ground state energy of the massless spin-boson model ⋮ How to resum Feynman graphs ⋮ Convergent series for lattice models with polynomial interactions ⋮ Upper and lower bound states for zero dimensional space in scalar quantum field theory ⋮ Inductive approach to loop vertex expansion

Cites Work

• Tree quantum field theory
• Moduli space actions on the Hochschild co-chains of a Frobenius algebra. II: Correlators
• Explicit fermionic tree expansions
• Renormalisation of \(\phi^4\)-theory on noncommutative \(\mathbb R^{4}\) in the matrix base
• Constructive \(\phi^{4}\) field theory without tears
• Parametric representation of noncommutative field theory
• Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads
• An Explicit Large Versus Small Field Multiscale Cluster Expansion
• An improvement of Watson’s theorem on Borel summability
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