Configuration Space BPHZ Renormalization on Analytic Spacetimes

Abstract

A configuration space version of BPHZ renormalization is proved in the realm of perturbative algebraic quantum field theory. All arguments are formulated entirely in configuration space so that the range of application is extended to analytic spacetimes. Further the relation to the momentum space method is established. In the course of that, it is necessary to study the limit of constant coupling.

33 pages, v2: minor clarifications

References in corpus (3)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• A BPHZ Theorem in Configuration Space
• Normal Products and Zimmermann Identities in Configuration Space BPHZ Renormalization

Cited by in corpus (5)

• On the Perturbative Quantization of Einstein-Hilbert Gravity Embedded in a Higher Derivative Model
• Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups
• BPHZ Renormalization in Configuration Space for the ${\mathcal{A}}^4$-Model
• A BPHZ Theorem in Configuration Space
• Normal Products and Zimmermann Identities in Configuration Space BPHZ Renormalization