Parametric representation of noncommutative field theory

DOI10.1007/s00220-007-0215-5zbMath1156.81465arXivmath-ph/0606030OpenAlexW2105540696MaRDI QIDQ2454802

Vincent Rivasseau, Razvan Gurau

Publication date: 22 October 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0606030

Mathematics Subject Classification ID

Model quantum field theories (81T10) Feynman diagrams (81T18) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (26)

On the fixed point equation of a solvable 4D QFT model ⋮ A translation-invariant renormalizable non-commutative scalar model ⋮ A NUMERICAL APPROACH TO HARMONIC NONCOMMUTATIVE SPECTRAL FIELD THEORY ⋮ Parametric representation of rank d tensorial group field theory: Abelian models with kinetic term ∑sps+μ ⋮ Constructive field theory in zero dimension ⋮ Tree quantum field theory ⋮ Topological graph polynomials in colored group field theory ⋮ The complete \(1/N\) expansion of colored tensor models in arbitrary dimension ⋮ 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory ⋮ Combinatorial Dyson-Schwinger equations in noncommutative field theory ⋮ Renormalizable noncommutative quantum field theory ⋮ The Ponzano-Regge model and parametric representation ⋮ Quantum field theory on projective modules ⋮ Hopf algebra of non-commutative field theory ⋮ Topological graph polynomial and quantum field theory. II: Mehler kernel theories ⋮ The \(1/N\) expansion of colored tensor models ⋮ Quantum field theory on noncommutative spaces ⋮ Vanishing of beta function of non-commutative \(\Phi_4^4\) theory to all orders ⋮ Color Grosse-Wulkenhaar models: one-loop \(\beta \) -functions ⋮ Vacuum configurations for renormalizable non-commutative scalar models ⋮ EXISTENCE OF ASYMPTOTIC EXPANSIONS IN NONCOMMUTATIVE QUANTUM FIELD THEORIES ⋮ Parametric representation of ``covariant noncommutative QFT models ⋮ The tensor track, III ⋮ Non-commutative complete Mellin representation for Feynman amplitudes ⋮ Mass generation without the Higgs mechanism ⋮ One-loop \(\beta \) functions of a translation-invariant renormalizable noncommutative scalar model

Cites Work

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