Invariants from classical field theory

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dc.creatorDiaz, Rafael
dc.creatorLeal, Lorenzo
dc.date2007-05-08
dc.date2008-05-12
dc.date.accessioned2026-07-07T11:56:47Z
dc.date.available2026-07-07T11:56:47Z
dc.descriptionWe introduce a method that generates invariant functions from perturbative classical field theories depending on external parameters. Applying our methods to several field theories such as abelian BF, Chern-Simons and 2-dimensional Yang-Mills theory, we obtain, respectively, the linking number for embedded submanifolds in compact varieties, the Gauss' and the second Milnor's invariant for links in S^3, and invariants under area-preserving diffeomorphisms for configurations of immersed planar curves.
dc.description20 pages, 1 figure, to appear in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/0705.1017
dc.identifierhttp://arxiv.org/abs/0705.1017
dc.identifierJ.Math.Phys.49:062901,2008
dc.identifierdoi:10.1063/1.2937075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205654
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Topology
dc.titleInvariants from classical field theory
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