caa a22 4500 469066679 CHVBK 20180323132910.0 cr unu---uuuuu 170328e19921201xx s 000 0 eng 10.1007/BF02790365 doi (NATIONALLICENCE)springer-10.1007/BF02790365 Renormalization in classical mechanics and many body quantum field theory [Elektronische Daten] [Joel Feldman, Eugene Trubowitz] We attempt to give apedagogical introduction to perturbative renormalization. Our approach is to first describe, following Linstedt and Poincaré, the renormalization of formal perturbation expansions for quasi-periodic orbits in Hamiltonian mechanics. We then discuss, following [FT1, FT2], the renormalization of the formal ground state energy density of a many Fermion system. The construction of formal quasi-periodic orbits is carried out in detail to provide a relatively simple model for the considerably more involved, and perhaps less familiar, perturbative analysis of a field theory. As we shall see, quasi-periodic orbits and many Fermion systems have a number of important features in common. In particular, as Poincaré observed in the classical case and [FT1, FT2] pointed out in the latter, the formal expansions considered here both contain divergent subseries. 0246 V 2, 1992 Feldman Joel Department of Mathematics, University of British Columbia, V6T 1Z2, Vancouver, B.C., Canada aut Trubowitz Eugene Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland aut Journal d'Analyse Mathématique Springer-Verlag 58/1(1992-12-01), 213-247 0021-7670 58:1<213 1992 58 11854 https://doi.org/10.1007/BF02790365 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02790365 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Feldman Joel Department of Mathematics, University of British Columbia, V6T 1Z2, Vancouver, B.C., Canada aut NATIONALLICENCE 700 1- Trubowitz Eugene Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique Springer-Verlag 58/1(1992-12-01), 213-247 0021-7670 58:1<213 1992 58 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer