# Local ζ-Function Techniques vs. Point-Splitting Procedure: A Few Rigorous Results

@article{Moretti1998LocalT,
title={Local $\zeta$-Function Techniques vs. Point-Splitting Procedure: A Few Rigorous Results},
author={Valter Moretti},
journal={Communications in Mathematical Physics},
year={1998},
volume={201},
pages={327-363}
}
• Valter Moretti
• Published 1998
• Mathematics, Physics
• Communications in Mathematical Physics
Abstract:Some general properties of local ζ-function procedures to renormalize some quantities in D-dimensional (Euclidean) Quantum Field Theory in curved background are rigorously discussed for positive scalar operators −Δ+V(x) in general closed D-manifolds, and a few comments are given for nonclosed manifolds too. A general comparison is carried out with respect to the more known point-splitting procedure concerning the effective Lagrangian and the field fluctuations. It is proven that, for D… Expand

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