Construction of \(Y M_ 4\) with an infrared cutoff

DOI10.1007/BF02097397zbMath0790.53056OpenAlexW2027618998MaRDI QIDQ1308471

Jacques Magnen, Roland Sénéor, Vincent Rivasseau

Publication date: 4 January 1994

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

Full work available at URL: https://doi.org/10.1007/bf02097397

zbMATH Keywords

gauge invarianceSchwinger functionsYang-Mills field theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

Related Items (14)

FROM EUCLIDEAN FIELD THEORY TO QUANTUM FIELD THEORY ⋮ Stochastic quantization of Yang–Mills ⋮ The leading term of the Yang-Mills free energy ⋮ The short distance behavior of \((\Phi^ 4_ 3)\) ⋮ Quarks, gluons, colour: Facts or fiction? ⋮ The variational problem and background field in the renormalization group method for nonlinear sigma models ⋮ A state space for 3D Euclidean Yang-Mills theories ⋮ Renormalization group flow for \(\text{SU}(2)\) Yang-Mills theory and gauge invariance ⋮ Rigorous solution of strongly coupled \(SO(N)\) lattice gauge theory in the large \(N\) limit ⋮ Constructive field theory and applications: Perspectives and open problems ⋮ Large \(N\) gauge theory---expansions and transitions ⋮ Stochastic quantization of an abelian gauge theory ⋮ An Explicit Large Versus Small Field Multiscale Cluster Expansion ⋮ Large-field versus small-field expansions and Sobolev inequalities.

Cites Work

• Propagators and renormalization transformations for lattice gauge theories. I
• A renormalizable field theory: The massive Gross-Neveu model in two dimensions
• Quantum field theory techniques in graphical enumeration

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