Renormalization in quantum field theory (after R. Borcherds) /

Saved in:
Bibliographic Details
Author / Creator:Herscovich, Estanislao, author.
Imprint:Paris : Société Mathématique de France, [2019]
©2019
Description:xvi, 185 pages ; 24 cm
Language:English
Series:Astérisque ; 412
Astérisque ; 412.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11925601
Hidden Bibliographic Details
ISBN:9782856299104
2856299105
Notes:Includes bibliographical references (pages 175-182) and index.
In English, with abstracts in English and French.
Summary:The aim of this manuscript is to provide a complete and precise formulation of the renormalization picture for perturbative Quantum Field Theory (pQFT) on general curved spacetimes introduced by R. Borcherds in [R. E. Borcherds, "Renormalization and quantum field theory", Algebra number theory 5 (2011) 627-658]. More precisely, we give a full proof of the free and transitive action of the group of renormalizations on the set of Feynman measures associated with a local precut propagator, and that such a set is nonempty if the propagator is further assumed to be manageable and of cut type. Even though we follow the general principles laid by Borcherds in loc. cit., we have in many cases proceeded differently to prove his claims, and we have also needed to add some hypotheses to be able to prove the corresponding statements. [page 4 of cover].

MARC

LEADER 00000cam a2200000Ii 4500
001 11925601
003 ICU
005 20190829111342.9
008 190729t20192019fr b 001 0 eng d
020 |a 9782856299104  |q (paperback) 
020 |a 2856299105  |q (paperback) 
035 |a (OCoLC)1110579338 
040 |a CUI  |b eng  |e rda  |c CUI  |d STF  |d WAU 
041 |a eng  |b eng  |b fre 
049 |a CGUA 
050 1 4 |a QC174.45  |b .H47 2019 
100 1 |a Herscovich, Estanislao,  |e author.  |0 http://id.loc.gov/authorities/names/no2019110549  |1 http://viaf.org/viaf/2744156565690823500001 
245 1 0 |a Renormalization in quantum field theory (after R. Borcherds) /  |c Estanislao Herscovich 
264 1 |a Paris :  |b Société Mathématique de France,  |c [2019] 
264 4 |c ©2019 
300 |a xvi, 185 pages ;  |c 24 cm 
336 |a text  |b txt  |2 rdacontent  |0 http://id.loc.gov/vocabulary/contentTypes/txt 
337 |a unmediated  |b n  |2 rdamedia  |0 http://id.loc.gov/vocabulary/mediaTypes/n 
338 |a volume  |b nc  |2 rdacarrier  |0 http://id.loc.gov/vocabulary/carriers/nc 
386 |a Argentines  |2 lcdgt  |0 http://id.loc.gov/authorities/demographicTerms/dg2016060028 
386 |a Men  |2 lcdgt  |0 http://id.loc.gov/authorities/demographicTerms/dg2015060359 
490 1 |a Astérisque ;  |v 412 
504 |a Includes bibliographical references (pages 175-182) and index. 
505 0 |a Preliminaries on algebra and functional analysis -- Preliminaries on vector bundles -- Some results on tensor products -- Preliminaries on distributions on manifolds -- Quantum field theory (after Borcherds) -- The first main result: the simply transitive actions of the group of renormalizations -- The second main result: the existence of a Feynman measure associated with a manageable local propagator of cut type. 
520 8 |a The aim of this manuscript is to provide a complete and precise formulation of the renormalization picture for perturbative Quantum Field Theory (pQFT) on general curved spacetimes introduced by R. Borcherds in [R. E. Borcherds, "Renormalization and quantum field theory", Algebra number theory 5 (2011) 627-658]. More precisely, we give a full proof of the free and transitive action of the group of renormalizations on the set of Feynman measures associated with a local precut propagator, and that such a set is nonempty if the propagator is further assumed to be manageable and of cut type. Even though we follow the general principles laid by Borcherds in loc. cit., we have in many cases proceeded differently to prove his claims, and we have also needed to add some hypotheses to be able to prove the corresponding statements. [page 4 of cover]. 
546 |a In English, with abstracts in English and French. 
650 0 |a Quantum field theory.  |0 http://id.loc.gov/authorities/subjects/sh85109461 
650 0 |a Renormalization group.  |0 http://id.loc.gov/authorities/subjects/sh85112866 
650 0 |a Renormalization (Physics)  |0 http://id.loc.gov/authorities/subjects/sh85112865 
650 0 |a Feynman diagrams.  |0 http://id.loc.gov/authorities/subjects/sh85048002 
830 0 |a Astérisque ;  |v 412.  |0 http://id.loc.gov/authorities/names/n86716119 
901 |a OREP 
903 |a HeVa 
929 |a cat 
999 f f |i c6587d8a-10ed-5f46-b883-4afa86aec18a  |s c3b96f93-43b4-535b-bd44-da9773a5fe14 
928 |t Library of Congress classification  |a QC174.45.H47 2019  |l JCL  |c JCL-Sci  |i 11408075 
927 |t Library of Congress classification  |a QC174.45.H47 2019  |l JCL  |c JCL-Sci  |g SEPS  |e CRERAR  |b 116369382  |i 10146022