A Combinatorial Perspective on Quantum Field Theory by Karen Yeats

By Karen Yeats

This e-book explores combinatorial difficulties and insights in quantum box idea. it isn't finished, yet really takes a journey, formed by means of the author’s biases, via a number of the vital ways in which a combinatorial point of view will be delivered to undergo on quantum box thought.  Among the results are either actual insights and engaging mathematics.

The booklet starts off by means of taking into account perturbative expansions as types of producing capabilities after which introduces renormalization Hopf algebras.  The the rest is damaged into elements.  The first half appears to be like at Dyson-Schwinger equations, stepping progressively from the simply combinatorial to the extra actual.  The moment half appears at Feynman graphs and their periods.

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

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