One-loop stress-tensor renormalization in curved background: The relation between ζ-function and point-splitting approaches, and an improved point-splitting procedure

DOI10.1063/1.532929zbMath0969.81045arXivgr-qc/9809006OpenAlexW1984380229MaRDI QIDQ4270386

Valter Moretti

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9809006

zbMATH Keywords

conformal anomalycurved space-timeheat-kernel coefficientsclosed manifoldsEuclidean point-splittingHadamard expansion of the Green's functionlocal \(\zeta\)-function procedureLorentzian-time analytic continuationsrenormalized field fluctuationsWald's improved point-splitting procedure

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Constructive quantum field theory (81T08)

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Cites Work

• Zeta function regularization of path integrals in curved spacetime
• Local \(\zeta\)-function techniques vs. point-splitting procedure: A few rigorous results