Combinatorics and physics : MiniWorkshop on Renormalization, December 1516, 2006; Conference on Combinatorics and Physics, March 1923, 2007, Max Planck Institut fur Mathematik, Bonn, Germany
- Providence, R.I. : American Mathematical Society, c2011
- 1 online resource (ix, 465 p. : ill.)
- Contemporary mathematics v. 539 10983627 .
Includes bibliographical references.
Oneparticle irreducibility with initial correlations ; Multiple zeta values and periods: from moduli spaces to Feynman integrals ; From quantum electrodynamics to posets of planar binary trees ; Sweedler's duals and Schutzenberger's calculus ; Primitive elements of the Hopf algebra of free quasisymmetric functions ; A renormalisation group approach to stochastic Lwner evolutions ; On the causal gauge principle ; Abstract integration, combinatorics of trees and differential equations ; Rooted trees appearing in products and coproducts ; Magnus expansions and beyond ; Wilsonian renormalization, differential equations and Hopf algebras ; Algebraic analysis of nonrenormalization theorems in supersymmetric field theories ; Not so nonrenormalizable gravity ; Renormalised multiple zeta values which respect quasishuffle relations ; Formulas for the ConnesMoscovici 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 ; Multiscale analysis and noncommutative field theory Christian Brouder and Frederic Patras ; Francis Brown ; Frederic Chapoton and Alessandra Frabetti ; Gerard H E Duchamp and Christophe Tollu ; L Foissy ; Roland Friedrich ; Jose M GraciaBondia ; Massimiliano Gubinelli ; Ralf Holtkamp ; Arieh Iserles ; T Krajewski and P Martinetti ; E Kraus ; Dirk Kreimer ; Dominique Manchon ; Frederic Menous ; Angela Mestre and Robert Oeckl ; Alexander Lundervold and Hans MuntheKaas ; D Oriti ; Sylvie Paycha ; Abhijnan Rej ; Walter D van Suijlekom ; Fabien VignesTourneret
9780821882184 (online)
related classical field theories Perturbative methods of renormalization
Numerical integration
Quantum field theory
Quantum theory Quantum field theory
Renormalization group
Includes bibliographical references.
Oneparticle irreducibility with initial correlations ; Multiple zeta values and periods: from moduli spaces to Feynman integrals ; From quantum electrodynamics to posets of planar binary trees ; Sweedler's duals and Schutzenberger's calculus ; Primitive elements of the Hopf algebra of free quasisymmetric functions ; A renormalisation group approach to stochastic Lwner evolutions ; On the causal gauge principle ; Abstract integration, combinatorics of trees and differential equations ; Rooted trees appearing in products and coproducts ; Magnus expansions and beyond ; Wilsonian renormalization, differential equations and Hopf algebras ; Algebraic analysis of nonrenormalization theorems in supersymmetric field theories ; Not so nonrenormalizable gravity ; Renormalised multiple zeta values which respect quasishuffle relations ; Formulas for the ConnesMoscovici 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 ; Multiscale analysis and noncommutative field theory Christian Brouder and Frederic Patras ; Francis Brown ; Frederic Chapoton and Alessandra Frabetti ; Gerard H E Duchamp and Christophe Tollu ; L Foissy ; Roland Friedrich ; Jose M GraciaBondia ; Massimiliano Gubinelli ; Ralf Holtkamp ; Arieh Iserles ; T Krajewski and P Martinetti ; E Kraus ; Dirk Kreimer ; Dominique Manchon ; Frederic Menous ; Angela Mestre and Robert Oeckl ; Alexander Lundervold and Hans MuntheKaas ; D Oriti ; Sylvie Paycha ; Abhijnan Rej ; Walter D van Suijlekom ; Fabien VignesTourneret
9780821882184 (online)
related classical field theories Perturbative methods of renormalization
Numerical integration
Quantum field theory
Quantum theory Quantum field theory
Renormalization group