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Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006 ; Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany

Author: Kurusch Ebrahimi-Fard; Matilde Marcolli; Walter D van Suijlekom; Max-Planck-Institut für Mathematik.
Publisher: Providence, R.I. : American Mathematical Society, ©2011.
Series: Contemporary mathematics (American Mathematical Society), v. 539.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:

Provides an overview of applications of combinatorics to various problems, such as applications to Hopf algebras, techniques to renormalization problems in quantum field theory, as well as  Read more...

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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Kurusch Ebrahimi-Fard; Matilde Marcolli; Walter D van Suijlekom; Max-Planck-Institut für Mathematik.
ISBN: 9780821853290 0821853295
OCLC Number: 693205786
Description: ix, 465 pages : illustrations ; 26 cm.
Contents: One-particle irreducibility with initial correlations --
Multiple zeta values and periods: from moduli spaces to Feynman integrals --
From quantum elctrodynamics to posets of planar binary trees --
Sweedler's duals and Schützenbergers calculus --
Primitive elements of the Hopf algebra of free quasi-symmetric functions --
A renormalisation group approach to stochastic Lœwner evolutions --
On the casual gauge principle --
Abstract integration, combinatorics of trees and differential equations --
Rooted trees appearing in products and co-products --
Magnus expansions and beyond --
Wilsonian renormalization, differential equations and Hopf algebras --
Algebraic analtysis of non-renormalization theorems in supersymmetric field theories --
Not so non-renormalizable graviry --
Renormalised multiple zeta values which respect quasi-shuffle relations --
Formulas for the Connes-Moscovici Hopf algebra --
Hopf algebras and the combinatorics of connected graphs in quantum field theory --
Hopf algebras of formal diffeomorphisms and numerical integration on manifolds --
A combinatorial and field theoretic path to quantum gravity: the new challenges of group field theory --
Noncommutative formal Taylor expansions and second quantised regularised traces --
Motives: an introductory survey for physicists --
Combinatorics and Feynman graphs for gauge theories --
Multi-scale analysis and non-commutative field theory.
Series Title: Contemporary mathematics (American Mathematical Society), v. 539.
Responsibility: Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors.

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