Combinatorial Perspective on Quantum Field Theory
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Combinatorial Perspective on Quantum Field Theory
Yeats, Karen
Springer International Publishing AG
12/2016
120
Mole
Inglês
9783319475509
15 a 20 dias
This book explores combinatorial problems and insights in quantum field theory. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians.
Part I Preliminaries.- Introduction.- Quantum field theory set up.- Combinatorial classes and rooted trees.- The Connes-Kreimer Hopf algebra.- Feynman graphs.- Part II Dyson-Schwinger equations.- Introduction to Dyson-Schwinger equations.- Sub-Hopf algebras from Dyson-Schwinger equations.- Tree factorial and leading log toys.- Chord diagram expansions.- Differential equations and the (next-to)m leading log expansion.- Part III Feynman periods.- Feynman integrals and Feynman periods.- Period preserving graph symmetries.- An invariant with these symmetries.- Weight.- The c2 invariant.- Combinatorial aspects of some integration algorithms.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
This book explores combinatorial problems and insights in quantum field theory. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians.
Part I Preliminaries.- Introduction.- Quantum field theory set up.- Combinatorial classes and rooted trees.- The Connes-Kreimer Hopf algebra.- Feynman graphs.- Part II Dyson-Schwinger equations.- Introduction to Dyson-Schwinger equations.- Sub-Hopf algebras from Dyson-Schwinger equations.- Tree factorial and leading log toys.- Chord diagram expansions.- Differential equations and the (next-to)m leading log expansion.- Part III Feynman periods.- Feynman integrals and Feynman periods.- Period preserving graph symmetries.- An invariant with these symmetries.- Weight.- The c2 invariant.- Combinatorial aspects of some integration algorithms.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
