1997/09/03 by Boguslaw Broda, Broda, Boguslaw
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9709026
8 pages, 7 Postscript figures, uses plenum and epsfig, talk at the NATO Advanced Research Workshop: "Recent Developments in Quantum Field Theory", June 14-20, 1997, Zakopane, Poland
arxiv created 1997/09/03 · arxiv updated 2009/11/30
Using physical arguments (Higgs mechanism, superconductivity, infrared regime, duality) and a geometric-topological construction (scalar curvature distribution compatible with surgery), we propose a topological interpretation of 3D SW theory in terms of the abelian Casson invariant. Further algebraic reasoning shows equivalence of that invariant to the Alexander ``polynomial''. Our starting point is a 3D version of the original SW theory. Observing that the scalar curvature R plays the role of a mass-squared parameter for the monopole field we can use that observation to control the theory in low-energy limit.