量子场论中1粒子不可约n点函数的余代数组合学
Combinatorics of 1-particle irreducible n-point functions via coalgebra in quantum field theory
摘要：
给出了1-顶点不可约图的余代数结构，即余交换余结合分次连通余代数的余代数结构。我们将余积推广到图的代数表示中，以便用其循环阶贡献来表示裸1粒子不可约n点函数。的代数表示，使图可以评估为费曼图。
英文摘要：
We give a coalgebra structure on 1-vertex irreducible graphs which is that of a cocommutative coassociative graded connected coalgebra. We generalize the coproduct to the algebraic representation of graphs so as to express a bare 1-particle irreducible n-point function in terms of its loop order contributions. The algebraic representation is so that graphs can be evaluated as Feynman graphs.
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