Abstract
A model for a description of interaction, which involves particle creation, can be given as follows:
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(1)
A smooth finite-dimensional manifoldM constitutes the configuration space of some interacting system.
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(2)
The concept of an interacting field is formulated in terms of two-component objects which consist of a physical and a topological field component which are ‘derived’ fromM.
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(3)
Interaction is described in terms of the topological linking number of the topological field components and in terms of the intrinsic field equations.
This scheme provides a geometrical description of strong interactions and gives a structural analysis of Gell-Mann current fields. A differential topological formulation of Noether's Theorem can be obtained. Moreover a consistent description of electromagnetic interactions which sheds a new light on the mechanism of virtual processes is available. This description results in an estimate of the fine structure constant α =e 2/(ħ. c).
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Von Westenholz, C. A new approach to interacting fields. Int J Theor Phys 10, 391–433 (1974). https://doi.org/10.1007/BF01807640
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DOI: https://doi.org/10.1007/BF01807640