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1篇 您的检索式:作者名="Frederic Patras"
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1The combinatorics of Green's functions in planar field theories显示文摘The aim of this exposition is to provide a detailed description of the use of combinatorial algebra inquantum field theory in the planar setting. Particular emphasis is placed on the relations betweendifferent types of planar Green's functions. The primary object is a Hopf algebra that is naturallydefined on variables representing non-commuting sources, and whose coproduct splits into two half-coproducts. The latter give rise to the notion of an unshuffie bialgebra. This setting allows a descriptionof the relation between full and connected planar Green's functions to be given by solving a simplelinear fixed point equation. We also include a brief outline of the consequences of our approach in theframework of ordinary quantum field theory.Kurusch Ebrahimi-Fard Frederic Patras 2016Frontiers of physics2016,11,6:0
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