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A Combinatorial Perspective on Quantum Field TheoryThe Connes-Kreimer Hopf Algebra

A Combinatorial Perspective on Quantum Field Theory: The Connes-Kreimer Hopf Algebra [A coproduct takes an object and returns a sum of ways to break the object into two pieces. We get a combinatorial Hopf algebra if the product and coproduct are compatible in a specific way.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Combinatorial Perspective on Quantum Field TheoryThe Connes-Kreimer Hopf Algebra

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2017
ISBN
978-3-319-47550-9
Pages
19 –34
DOI
10.1007/978-3-319-47551-6_4
Publisher site
See Chapter on Publisher Site

Abstract

[A coproduct takes an object and returns a sum of ways to break the object into two pieces. We get a combinatorial Hopf algebra if the product and coproduct are compatible in a specific way.]

Published: Nov 26, 2016

Keywords: Hopf Algebra; Rooted Tree; Commutative Diagram; Feynman Rule; Algebra Homomorphism

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