Dispersion relations for causal Green’s functions: Derivations using the Poincaré–Bertrand theorem and its generalizations

DOI10.1063/1.528722zbMath0711.45002OpenAlexW2080311249MaRDI QIDQ3496747

Richard W. Davies, K. T. R. Davies, G. D. White

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528722

zbMATH Keywords

higher-order singularitiesprincipal valueDyson's equationsPoincaré-Bertrand theoremthree-propagator loop integraltime-convoluted products of Green's functions

Mathematics Subject Classification ID

Integral equations with kernels of Cauchy type (45E05)

Related Items (7)

Generalized nonlinear fluctuation-dissipation relation for the one-component plasma ⋮ Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals ⋮ Efficiently evaluating loop integrals in the EFTofLSS using QFT integrals with massive propagators ⋮ Fluctuations of quantum radiation pressure in dissipative fluid ⋮ Some notes on the Poincaré-Bertrand formula ⋮ Gravitational wave emission from the CMB and other thermal fields ⋮ Brownian motion in Robertson–Walker spacetimes from electromagnetic vacuum fluctuations

This page was built for publication: Dispersion relations for causal Green’s functions: Derivations using the Poincaré–Bertrand theorem and its generalizations