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A Combinatorial Perspective on Quantum Field Theory (SpringerBriefs in Mathematical Physics, Band 15) - Softcover

Buch 15 von 40: SpringerBriefs in Mathematical Physics

Yeats, Karen

 
9783319475509: A Combinatorial Perspective on Quantum Field Theory (SpringerBriefs in Mathematical Physics, Band 15)
Softcover
ISBN 10: 3319475509 ISBN 13: 9783319475509
Verlag: Springer, 2016

Inhaltsangabe

This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory.  Among the outcomes are both physical insights and interesting mathematics.

The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras.  The remainder is broken into two parts.  The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical.  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.

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Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319475509
ISBN 13 
9783319475509
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
132
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