BibTeX
@MISC{Kreimer09threeétudes,
author = {Dirk Kreimer and Zγ Zγ and Γi Γj},
title = {Three Études in QFT},
year = {2009}
}
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Abstract
We review QFT from the algebraic structure of its perturbative expansion and point out three new results. Acknowledgments It is a pleasure to thank Spencer Bloch for questions which ultimately led to Theorem 3 below. The following is a write-up of an invited contribution to the International Congress for Mathematical Physics (Prague, 2009). Thanks are due to Pavel Exner and the other organizers. 1 Algebraic structure in local QFT In recent years we have collected a considerable amount of algebraic structure underlying the computational practice of quantum field theory, clarifying the mathematical foundations of these computations and coming to new insights in QFT, see [5, 1, 4, 6, 7] and references there for more detail and notation. In this section, we give a succinct summary. 1.1 Hopf and Lie algebras of graphs There is a Hopf and Lie algebras coming with 1PI Feynman graphs:
Keyphrases
algebraic structure pavel exner invited contribution mathematical foundation international congress spencer bloch recent year quantum field theory computational practice new result perturbative expansion considerable amount feynman graph mathematical physic lie algebra succinct summary local qft new insight
