Trees

An algebraic formalism, developed with V. Glaser and R. Stora for the study of the generalized retarded functions of quantum field theory, is used to prove a factorization theorem which provides a complete description of the generalized retarded functions associated with any tree graph. Integrating...

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Main Author: Henri Epstein
Format: Article
Language:English
Published: Elsevier 2016-11-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316300670
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spelling doaj-ddaff0a8aa8249848304826416f004962020-11-24T22:53:47ZengElsevierNuclear Physics B0550-32131873-15622016-11-01912C15117110.1016/j.nuclphysb.2016.04.029TreesHenri EpsteinAn algebraic formalism, developed with V. Glaser and R. Stora for the study of the generalized retarded functions of quantum field theory, is used to prove a factorization theorem which provides a complete description of the generalized retarded functions associated with any tree graph. Integrating over the variables associated to internal vertices to obtain the perturbative generalized retarded functions for interacting fields arising from such graphs is shown to be possible for a large category of space–times.http://www.sciencedirect.com/science/article/pii/S0550321316300670
collection DOAJ
language English
format Article
sources DOAJ
author Henri Epstein
spellingShingle Henri Epstein
Trees
Nuclear Physics B
author_facet Henri Epstein
author_sort Henri Epstein
title Trees
title_short Trees
title_full Trees
title_fullStr Trees
title_full_unstemmed Trees
title_sort trees
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2016-11-01
description An algebraic formalism, developed with V. Glaser and R. Stora for the study of the generalized retarded functions of quantum field theory, is used to prove a factorization theorem which provides a complete description of the generalized retarded functions associated with any tree graph. Integrating over the variables associated to internal vertices to obtain the perturbative generalized retarded functions for interacting fields arising from such graphs is shown to be possible for a large category of space–times.
url http://www.sciencedirect.com/science/article/pii/S0550321316300670
work_keys_str_mv AT henriepstein trees
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