Invariants from classical field theory

Details Invariants from classical field theory Invariants from classical field theory

2007-05-08

arxiv.org/abs/0705.1017v3

J.Math.Phys.49:062901,2008

Physics

Mathematical Physics

20 pages, 1 figure, to appear in J. Math. Phys

Scientific paper

10.1063/1.2937075

We 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.

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