Non-commutative complete Mellin representation for Feynman amplitudes

DOI10.1007/s11005-007-0170-2zbMath1161.81406arXiv0705.3437OpenAlexW2161987396MaRDI QIDQ1013588

Razvan Gurau, Vincent Rivasseau, A. P. C. Malbouisson, Adrian Tanasa

Publication date: 20 April 2009

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

Full work available at URL: https://arxiv.org/abs/0705.3437

zbMATH Keywords

Feynman amplitudesMellin representationnon-commutative field theory

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Feynman diagrams (81T18) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (9)

A translation-invariant renormalizable non-commutative scalar model ⋮ Symplectic field theories: scalar and spinor representations ⋮ Parametric representation of rank d tensorial group field theory: Abelian models with kinetic term ∑sps+μ ⋮ Combinatorial Dyson-Schwinger equations in noncommutative field theory ⋮ Hopf algebra of non-commutative field theory ⋮ Non-abelian gauge symmetry for fields in phase space: a realization of the Seiberg-Witten non-abelian gauge theory ⋮ Vacuum configurations for renormalizable non-commutative scalar models ⋮ EXISTENCE OF ASYMPTOTIC EXPANSIONS IN NONCOMMUTATIVE QUANTUM FIELD THEORIES ⋮ One-loop \(\beta \) functions of a translation-invariant renormalizable noncommutative scalar model

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