Combinatorics of n-point functions via Hopf algebra in quantum field theory

Details Combinatorics of n-point functions via Hopf algebra in quantum field theory Combinatorics of n-point functions via Hopf algebra in quantum field theory

2005-05-24

arxiv.org/abs/math-ph/0505066v2

J.Math.Phys. 47 (2006) 052301

Physics

Mathematical Physics

26 pages, LaTeX + AMS + eepic; minor corrections and modifications

Scientific paper

10.1063/1.2196239

We use a coproduct on the time-ordered algebra of field operators to derive
simple relations between complete, connected and 1-particle irreducible n-point
functions. Compared to traditional functional methods our approach is much more
intrinsic and leads to efficient algorithms suitable for concrete computations.
It may also be used to efficiently perform tree level computations.

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