Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups
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Publication:2659440
DOI10.4171/JEMS/1016zbMath1460.81061arXiv1712.03490MaRDI QIDQ2659440
Publication date: 26 March 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.03490
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Quantum field theory on curved space or space-time backgrounds (81T20) Constructive quantum field theory (81T08) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Blow-up in context of PDEs (35B44) Heat kernel (35K08)
Related Items (8)
Gaussian free fields and Riemannian rigidity ⋮ Mathematical reflections on locality ⋮ Locality Galois groups of meromorphic germs in several variables ⋮ An algebraic formulation of the locality principle in renormalisation ⋮ From orthocomplementations to locality ⋮ Borel-Écalle resummation of a two-point function ⋮ Wick rotation of the time variables for two-point functions on analytic backgrounds ⋮ From non-unitary wheeled PROPs to smooth amplitudes and generalised convolutions
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