Lessons from Quantum Field Theory - Hopf Algebras and Spacetime Geometries

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dc.creatorConnes, A.
dc.creatorKreimer, D.
dc.date1999-04-07
dc.date1999-04-13
dc.date.accessioned2026-07-07T04:26:14Z
dc.date.available2026-07-07T04:26:14Z
dc.descriptionWe discuss the prominence of Hopf algebras in recent progress in Quantum Field Theory. In particular, we will consider the Hopf algebra of renormalization, whose antipode turned out to be the key to a conceptual understanding of the subtraction procedure. We shall then describe several occurences of this or closely related Hopf algebras in other mathematical domains, such as foliations, Runge Kutta methods, iterated integrals and multiple zeta values. We emphasize the unifying role which the Butcher group, discovered in the study of numerical integration of ordinary differential equations, plays in QFT.
dc.descriptionSurvey paper, 12 pages, epsf for figures, dedicated to Moshé Flato, minor corrections, to appear in Lett.Math.Phys.48
dc.identifierhttps://arxiv.org/abs/hep-th/9904044
dc.identifierhttp://arxiv.org/abs/hep-th/9904044
dc.identifierLett.Math.Phys. 48 (1999) 85-96
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56018
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleLessons from Quantum Field Theory - Hopf Algebras and Spacetime Geometries
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