ALGEBRAIC APPROACH TO THE 1/N EXPANSION IN QUANTUM FIELD THEORY

DOI10.1142/S0129055X04002072zbMath1054.81029arXivmath-ph/0309042MaRDI QIDQ4818919

Stefan Hollands

Publication date: 24 September 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0309042

zbMATH Keywords

perturbation theoryquantum field theorylarge \(N\) expansionalgebraic method

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items

CAUSAL PERTURBATION THEORY IN TERMS OF RETARDED PRODUCTS, AND A PROOF OF THE ACTION WARD IDENTITY, Quantum field theory meets Hopf algebra

Cites Work

• Deformation theory and quantization. I: Deformations of symplectic structures
• On the renormalization group in curved spacetime
• The master Ward identity and generalized Schwinger-Dyson equation in classical field theory
• Quantum Noether method
• Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.
• The state space of perturbative quantum field theory in curved spacetimes.
• Existence of local covariant time ordered products of quantum fields in curved spacetime
• The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
• Local Wick polynomials and time ordered products of quantum fields in curved spacetime