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A BPHZ Theorem in Configuration Space (1706.06762v3)
Published 21 Jun 2017 in math-ph and math.MP
Abstract: The concept of BPHZ renormalization is translated into configuration space. After deriving the counterpart for the regularizing Taylor subtraction, a new version of Zimmermann's convergence theorem by means of the forest formula is proved. Furthermore, a sufficient condition on the algebraic decay of the integrand is formulated such that the constant coupling limit exists in the new setting.
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