Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006; Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut f�ur Mathematik, Bonn, Germany / [electronic resource]
Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors.
- Providence, R.I. : American Mathematical Society, c2011.
- 1 online resource (ix, 465 p. : ill.)
- Contemporary mathematics, v. 539 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
One-particle 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 Sch�utzenberger's calculus / Primitive elements of the Hopf algebra of free quasi-symmetric functions / A renormalisation group approach to stochastic L�wner evolutions / On the causal 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 analysis of non-renormalization theorems in supersymmetric field theories / Not so non-renormalizable gravity / 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 / Christian Brouder and Fr�ed�eric Patras -- Francis Brown -- Fr�ed�eric Chapoton and Alessandra Frabetti -- G�erard H. E. Duchamp and Christophe Tollu -- L. Foissy -- Roland Friedrich -- Jos�e M. Gracia-Bond�ia -- Massimiliano Gubinelli -- Ralf Holtkamp -- Arieh Iserles -- T. Krajewski and P. Martinetti -- E. Kraus -- Dirk Kreimer -- Dominique Manchon -- Fr�ed�eric Menous -- �Angela Mestre and Robert Oeckl -- Alexander Lundervold and Hans Munthe-Kaas -- D. Oriti -- Sylvie Paycha -- Abhijnan Rej -- Walter D. van Suijlekom -- Fabien Vignes-Tourneret -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10625 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10626 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10627 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10628 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10629 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10630 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10631 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10632 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10633 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10634 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10635 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10636 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10637 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10638 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10639 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10640 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10641 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10642 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10643 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10644 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10645 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10646
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821882184 (online)
Renormalization group--Congresses.
Quantum field theory--Congresses.
Numerical integration--Congresses.
Quantum theory -- Quantum field theory; related classical field theories -- Perturbative methods of renormalization.
Numerical analysis -- Numerical approximation and computational geometry (primarily algorithms) -- Numerical integration.
QC20.7.R43 / M56 2006
530.14/3
Includes bibliographical references.
One-particle 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 Sch�utzenberger's calculus / Primitive elements of the Hopf algebra of free quasi-symmetric functions / A renormalisation group approach to stochastic L�wner evolutions / On the causal 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 analysis of non-renormalization theorems in supersymmetric field theories / Not so non-renormalizable gravity / 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 / Christian Brouder and Fr�ed�eric Patras -- Francis Brown -- Fr�ed�eric Chapoton and Alessandra Frabetti -- G�erard H. E. Duchamp and Christophe Tollu -- L. Foissy -- Roland Friedrich -- Jos�e M. Gracia-Bond�ia -- Massimiliano Gubinelli -- Ralf Holtkamp -- Arieh Iserles -- T. Krajewski and P. Martinetti -- E. Kraus -- Dirk Kreimer -- Dominique Manchon -- Fr�ed�eric Menous -- �Angela Mestre and Robert Oeckl -- Alexander Lundervold and Hans Munthe-Kaas -- D. Oriti -- Sylvie Paycha -- Abhijnan Rej -- Walter D. van Suijlekom -- Fabien Vignes-Tourneret -- http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10625 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10626 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10627 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10628 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10629 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10630 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10631 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10632 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10633 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10634 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10635 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10636 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10637 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10638 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10639 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10640 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10641 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10642 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10643 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10644 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10645 http://www.ams.org/conm/539/ http://dx.doi.org/10.1090/conm/539/10646
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821882184 (online)
Renormalization group--Congresses.
Quantum field theory--Congresses.
Numerical integration--Congresses.
Quantum theory -- Quantum field theory; related classical field theories -- Perturbative methods of renormalization.
Numerical analysis -- Numerical approximation and computational geometry (primarily algorithms) -- Numerical integration.
QC20.7.R43 / M56 2006
530.14/3