Muutke küpsiste eelistusi

Combinatorics and Physics [Pehme köide]

  • Formaat: Paperback / softback, 456 pages, kaal: 845 g, Illustrations
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 20-Dec-2011
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821853295
  • ISBN-13: 9780821853290
  • Formaat: Paperback / softback, 456 pages, kaal: 845 g, Illustrations
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 20-Dec-2011
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821853295
  • ISBN-13: 9780821853290
The short workshop focused on algebro-combinatorial and other mathematical structures in the perturbative renormalization of quantum field theory, and the longer conference the following year explored algebraic and combinatorial aspects in modern physics more broadly. The 22 papers, include discussions of one-particle irreducibility with initial correlations, primitive elements in the Hopf algebra of free quasi-symmetric functions, Magnus expansions and beyond, not so non-renormalizable gravity, a combinatorial and field theory path to quantum gravity, and multi-scale analysis and non-commutative field theory. They are not indexed. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
Preface vii
List of participants
ix
One-particle irreducibility with initial correlations
1(26)
Christian Brouder
Frederic Patras
Multiple zeta values and periods: From moduli spaces to Feynman integrals
27(26)
Francis Brown
From quantum electrodynamics to posets of planar binary trees
53(14)
Frederic Chapoton
Alessandra Frabetti
Sweedler's duals and Schutzenberger's calculus
67(12)
Gerard H. E. Duchamp
Christophe Tollu
Primitive elements of the Hopf algebra of free quasi-symmetric functions
79(10)
L. Foissy
A Renormalisation Group approach to Stochastic Lœwner Evolutions
89(26)
Roland Friedrich
On the causal gauge principle
115(20)
Jose M. Gracia-Bondia
Abstract integration, combinatorics of trees and differential equations
135(18)
Massimiliano Gubinelli
Rooted trees appearing in products and co-products
153(18)
Ralf Holtkamp
Magnus expansions and beyond
171(16)
Arieh Iserles
Wilsonian renormalization, differential equations and Hopf algebras
187(50)
T. Krajewski
P. Martinetti
Algebraic analysis of non-renormalization theorems in supersymmetric field theories
237(10)
E. Kraus
Not so non-renormalizable gravity
247(8)
Dirk Kreimer
Renormalised multiple zeta values which respect quasi-shuffle relations
255(14)
Dominique Manchon
Formulas for the Connes-Moscovici Hopf algebra
269(18)
Frederic Menous
Hopf algebras and the combinatorics of connected graphs in quantum field theory
287(8)
Angela Mestre
Robert Oeckl
Hopf Algebras of Formal Diffeomorphisms and Numerical Integration on Manifolds
295(30)
Alexander Lundervold
Hans Munthe-Kaas
A combinatorial and field theoretic path to quantum gravity: The new challenges of group field theory
325(24)
D. Oriti
Noncommutative formal Taylor expansions and second quantised regularised traces
349(28)
Sylvie Paycha
Motives: An introductory survey for physicists
377(40)
Abhijnan Rej
Matilde Marcolli
Combinatorics and Feynman graphs for gauge theories
417(26)
Walter D. van Suijlekom
Multi-scale Analysis and Non-commutative Field Theory
443
Fabien Vignes-Tourneret
Kurusch Ebrahimi-Fard, Universidad de Zaragoza, Spain.|||Walter D. van Suijlekom, Radboud University Nijmegen, The Netherlands