Light-front partons and dimensional reduction in relativistic field theory

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Abstract
We present a simple discussion of the appearance of light-front partons in local field theory. The description in terms of partons provides a dimensional reduction which relates a (2+1)- with a (3+1)-dimensional theory, for example. The possibility for the existence of Lorentz symmetry and a connection to the relativistic membrane is described. It is shown how the reconstruction of the full relativistic field theory is possible with a proper treatment of the parton configuration space. Compared with the case of identical particles, this involves keeping configurations, where the partons are at the same points.

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