Causal Perturbation Theory and Differential Renormalization

Abstract

In Causal Perturbation Theory the process of renormalization is precisely equivalent to the extension of time ordered distributions to coincident points. This is achieved by a modified Taylor subtraction on the corresponding test functions. I show that the pullback of this operation to the distributions yields expressions known from Differential Renormalization. The subtraction is equivalent to BPHZ subtraction in momentum space. Some examples from Euclidean scalar field theory in flat and curved spacetime will be presented.

15 pages, AMS-LaTeX, feynmf

References in corpus (5)

• The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
• Systematic Differential Renormalization to All Orders
• Differential Renormalization of Massive Quantum Field Theories
• Causal Perturbation Theory and Differential Renormalization
• A Generic Renormalization Method in Curved Spaces and at Finite Temperature

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• One-loop conformal anomaly in an implicit momentum space regularization framework
• Renormalization in Quantum Field Theory: An Improved Rigorous Method
• Lorentz Covariance in Epstein-Glaser Renormalization
• Radiative corrections in the Yukawa model within the null-plane causal perturbation theory framework
• A Comment on the Classical Electron Self-Energy
• Normal Products and Zimmermann Identities in Configuration Space BPHZ Renormalization
• Perturbative quantum gauge invariance: Where the ghosts come from