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Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut für Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany / / Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors
| Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut für Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany / / Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (480 p.) |
| Disciplina | 530.14/3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Renormalization group
Quantum field theory Numerical integration |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8218-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""List of participants""; ""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 Schutzenberger's calculus""; ""Primitive elements of the Hopf algebra of free quasi-symmetric functions""; ""A Renormalisation Group approach to Stochastic Loewner Evolutions""; ""On the causal gauge principle""; ""1. Introduction""; ""2. Overview of the CGI method""; ""3. The abelian model""; ""4. Three MVBs""
""5. The Weinberg�Salam model within CGI""""6. Discussion""; ""References""; ""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""; ""1. Introduction""; ""2. Basics of wilsonian renormalization""; ""3. Rooted trees and power series of non linear operators""; ""4. Renormalization, effective actions and Feynman diagrams""; ""5. Conclusion and outlook""; ""Acknowledgements""; ""References"" ""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""; ""1. Introduction""; ""2. The Grothendieck ring""; ""3. The Tannakian formalism""; ""4. Weil cohomology""; ""5. Classical motives""; ""6. Mixed motives""; ""7. Motivic measures and zeta functions""; ""Appendix A. Motivic ideas in physics (by M.Marcolli)""; ""References""; ""Combinatorics and Feynman graphs for gauge theories""; ""Multi-scale Analysis and Non-commutative Field Theory"" |
| Record Nr. | UNINA-9910480290103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut für Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany / / Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors
| Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut für Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany / / Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (480 p.) |
| Disciplina | 530.14/3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Renormalization group
Quantum field theory Numerical integration |
| ISBN | 0-8218-8218-X |
| Classificazione | 81T1565D30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of participants -- 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 Schutzenberger's calculus -- Primitive elements of the Hopf algebra of free quasi-symmetric functions -- A Renormalisation Group approach to Stochastic Loewner Evolutions -- On the causal gauge principle -- 1. Introduction -- 2. Overview of the CGI method -- 3. The abelian model -- 4. Three MVBs -- 5. The Weinberg's alam model within CGI -- 6. Discussion -- References -- 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 -- 1. Introduction -- 2. Basics of wilsonian renormalization -- 3. Rooted trees and power series of non linear operators -- 4. Renormalization, effective actions and Feynman diagrams -- 5. Conclusion and outlook -- Acknowledgements -- References -- 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 -- 1. Introduction -- 2. The Grothendieck ring -- 3. The Tannakian formalism -- 4. Weil cohomology -- 5. Classical motives -- 6. Mixed motives -- 7. Motivic measures and zeta functions -- Appendix A. Motivic ideas in physics (by M.Marcolli) -- References -- Combinatorics and Feynman graphs for gauge theories -- Multi-scale Analysis and Non-commutative Field Theory. |
| Record Nr. | UNINA-9910788633803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut für Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany / / Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors
| Combinatorics and physics : Mini-Workshop on Renormalization, December 15-16, 2006, Max Planck Institut für Mathematik, Bonn, Germany : Conference on Combinatorics and Physics, March 19-23, 2007, Max Planck Institut für Mathematik, Bonn, Germany / / Kurusch Ebrahimi-Fard, Matilde Marcolli, Walter D. van Suijlekom, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2011] |
| Descrizione fisica | 1 online resource (480 p.) |
| Disciplina | 530.14/3 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Renormalization group
Quantum field theory Numerical integration |
| ISBN | 0-8218-8218-X |
| Classificazione | 81T1565D30 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- List of participants -- 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 Schutzenberger's calculus -- Primitive elements of the Hopf algebra of free quasi-symmetric functions -- A Renormalisation Group approach to Stochastic Loewner Evolutions -- On the causal gauge principle -- 1. Introduction -- 2. Overview of the CGI method -- 3. The abelian model -- 4. Three MVBs -- 5. The Weinberg's alam model within CGI -- 6. Discussion -- References -- 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 -- 1. Introduction -- 2. Basics of wilsonian renormalization -- 3. Rooted trees and power series of non linear operators -- 4. Renormalization, effective actions and Feynman diagrams -- 5. Conclusion and outlook -- Acknowledgements -- References -- 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 -- 1. Introduction -- 2. The Grothendieck ring -- 3. The Tannakian formalism -- 4. Weil cohomology -- 5. Classical motives -- 6. Mixed motives -- 7. Motivic measures and zeta functions -- Appendix A. Motivic ideas in physics (by M.Marcolli) -- References -- Combinatorics and Feynman graphs for gauge theories -- Multi-scale Analysis and Non-commutative Field Theory. |
| Record Nr. | UNINA-9910822705203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2011] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Feynman amplitudes, periods, and motives : International Research Conference on Periods and Motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain / / Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors
| Feynman amplitudes, periods, and motives : International Research Conference on Periods and Motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain / / Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (302 pages) : illustrations |
| Disciplina | 530.15 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Mathematical physics
Perturbation (Quantum dynamics) Perturbation (Mathematics) Quantum field theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2727-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480586403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Feynman amplitudes, periods, and motives : International Research Conference on Periods and Motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain / / Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors
| Feynman amplitudes, periods, and motives : International Research Conference on Periods and Motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain / / Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (302 pages) : illustrations |
| Disciplina | 530.15 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Mathematical physics
Perturbation (Quantum dynamics) Perturbation (Mathematics) Quantum field theory |
| ISBN | 1-4704-2727-3 |
| Classificazione | 11S4011M3214C2514C1514F4216T0532G2081Q3081T1581T18 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788259203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Feynman amplitudes, periods, and motives : International Research Conference on Periods and Motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain / / Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors
| Feynman amplitudes, periods, and motives : International Research Conference on Periods and Motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain / / Luis Álvarez-Cónsul, Jose Ignacio Burgos-Gil, Kurusch Ebrahimi-Fard, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2015] |
| Descrizione fisica | 1 online resource (302 pages) : illustrations |
| Disciplina | 530.15 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Mathematical physics
Perturbation (Quantum dynamics) Perturbation (Mathematics) Quantum field theory |
| ISBN | 1-4704-2727-3 |
| Classificazione | 11S4011M3214C2514C1514F4216T0532G2081Q3081T1581T18 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910825651203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2015] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||