Convergence of Bogoliubov’s Method of Renormalization in Momentum Space

By W. Zlmmbrmann. 2000

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Noncommutative Geometry, Quantum Fields and Motives (2007, methodology): “The main result of [26], [178], [343] is the fact that this procedure takes care of both the problem of organizing subdivergences and of eliminating non-local terms.”
Theory of the Anomalous Magnetic Moment of the Electron (2019, background): “Expanding the product (81), we find that 23 UV subtraction terms are needed to make MX253 free from UV divergence [59]:”
The Stueckelberg Field (2003, background): “…→ A′µ(x) = Aµ(x) + ∂µΛ(x) (18) B(x) → B′(x) = B(x) +mΛ(x) (19) with the complex gauge function Λ subject to the same field equation as B and Aµ: ( ∂2 +m2 ) Λ(x) = 0 (20) The gauge invariance is manifest if we rewrite the lagrangian (17) as LStueck = − 1 2 F †µνF µν +m2 ( A†µ − 1 m ∂µB †…”
An analytic BPHZ theorem for regularity structures (2016, background): “model in terms of a sum over forests and cuts, and this is the content of Section 4. Here the forests come from negative renormalization and are really the same as those of Zimmerman’s forest formula [Zim69] – they are families of divergent structures where each pair of structures in each family mus”
Perturbative Algebraic Quantum Field Theory and the Renormalization Groups (2009, unknown): “A ta 26 (1953) 499-520[42℄ Zimmermann, W., The power ounting theorem for Minkowski metri , Commun.”