Generating loop graphs via Hopf algebra in quantum field theory

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dc.creatorMestre, Angela
dc.creatorOeckl, Robert
dc.date2006-07-19
dc.date2006-10-05
dc.date.accessioned2026-07-07T11:07:21Z
dc.date.available2026-07-07T11:07:21Z
dc.descriptionWe use the Hopf algebra structure of the time-ordered algebra of field operators to generate all connected weighted Feynman graphs in a recursive and efficient manner. The algebraic representation of the graphs is such that they can be evaluated directly as contributions to the connected n-point functions. The recursion proceeds by loop order and vertex number.
dc.description22 pages, LaTeX + AMS + eepic; new section with alternative recursion formula added, further minor changes and corrections
dc.identifierhttps://arxiv.org/abs/math-ph/0607036
dc.identifierhttp://arxiv.org/abs/math-ph/0607036
dc.identifierJ.Math.Phys.47:122302,2006
dc.identifierdoi:10.1063/1.2390657
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189813
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectCombinatorics
dc.titleGenerating loop graphs via Hopf algebra in quantum field theory
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