The Wilson-Polchinski renormalization group equation in the planar limit

DOI10.1016/S0550-3213(02)00257-2zbMath0995.81076arXivhep-th/0202155MaRDI QIDQ1597927

Stefano Giusto, Carlo M. Becchi, Camillo Imbimbo

Publication date: 3 June 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0202155

zbMATH Keywords

effective actionHamilton-Jacobi type equationnon-planar amplitudes

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (12)

Quantum renormalization group and holography ⋮ The renormalization of non-commutative field theories in the limit of large non-commutativity ⋮ A diagrammatic equation for oriented planar graphs ⋮ Exact solution of quantum field theory on noncommutative phase spaces ⋮ Holographic and Wilsonian renormalization groups ⋮ Irrelevant deformations and the holographic Callan-Symanzik equation ⋮ Quantum field theory on projective modules ⋮ Connecting holographic Wess-Zumino consistency condition to the holographic anomaly ⋮ Self-dual noncommutative \(\phi^4\)-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory ⋮ Power-counting theorem for non-local matrix models and renormalisation ⋮ Field theories on deformed spaces ⋮ The fate of the Wilson-Fisher fixed point in non-commutative ϕ4

Cites Work

• The large \(N\) limit of superconformal field theories and supergravity
• Anti de Sitter space and holography
• Planar diagrams
• The Holographic Renormalization Group
• Noncommutative field theory
• Comments on noncommutative perturbative dynamics
• A note on relation between holographic RG equation and Polchinski's RG equation.

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