Mathematical Physics

   

Weak Form of Electric-Magnetic Duality and Its Implications

Authors: Matti Pitkänen

The notion of electric magnetic duality emerged already two decades ago in the attempts to formulate the Kähler geometry of the "world of classical worlds". Quite recently a considerable step of progress took place in the understanding of this notion. This concept leads to the identification of the physical particles as string like objects defined by magnetic charged wormhole throats connected by magnetic ux tubes. The second end of the string contains particle having electroweak isospin neutralizing that of elementary fermion and the size scale of the string is electro-weak scale would be in question. Hence the screening of electro-weak force takes place via weak confinement. This picture generalizes to magnetic color confinement. Electric-magnetic duality leads also to a detailed understanding of how TGD reduces to almost topological quantum field theory. A surprising outcome is the necessity to replace CP2 Kähler form in Kähler action with its sum with S2 Kähler form.

Comments: 25 Pages.

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Submission history

[v1] 16 Jun 2010
[v2] 2012-01-30 21:49:56

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