A Combinatorial Perspective on Quantum Field Theory by Karen Yeats PDF

By Karen Yeats

This booklet explores combinatorial difficulties and insights in quantum box idea. it's not entire, yet quite takes a journey, formed by means of the author’s biases, via many of the vital ways in which a combinatorial standpoint might be dropped at undergo on quantum box thought.  Among the results are either actual insights and fascinating mathematics.

The ebook starts by way of considering perturbative expansions as different types of producing capabilities after which introduces renormalization Hopf algebras.  The the rest is damaged into components.  The first half seems to be at Dyson-Schwinger equations, stepping steadily from the only combinatorial to the extra actual.  The moment half appears to be like at Feynman graphs and their periods.

The flavour of the e-book will attract mathematicians with a combinatorics historical past in addition to mathematical physicists and different mathematicians.

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A Combinatorial Perspective on Quantum Field Theory (SpringerBriefs in Mathematical Physics) by Karen Yeats

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