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Read e-book online A Combinatorial Perspective on Quantum Field Theory PDF

By Karen Yeats

This e-book explores combinatorial difficulties and insights in quantum box idea. it isn't complete, yet relatively takes a journey, formed by way of the author’s biases, via a few of the very important ways in which a combinatorial viewpoint may be delivered to endure on quantum box thought.  Among the results are either actual insights and fascinating mathematics.

The ebook starts off by way of contemplating perturbative expansions as forms of producing capabilities after which introduces renormalization Hopf algebras.  The the rest is damaged into components.  The first half seems at Dyson-Schwinger equations, stepping progressively from the merely combinatorial to the extra actual.  The moment half appears at Feynman graphs and their periods.

The flavour of the booklet will entice mathematicians with a combinatorics heritage in addition to mathematical physicists and different mathematicians.

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