Renormalization: the observable-state model

Details Renormalization: the observable-state model Renormalization: the observable-state model

2011-05-09

arxiv.org/abs/1105.1826v3

Physical Review D, Vol. 85, 025002 (2012)

Physics

Mathematical Physics

23 pages

Scientific paper

10.1103/PhysRevD.85.025002

The usual mathematical formalism of quantum field theory is non-rigorous because it contains divergences that can only be renormalized by non-rigorous mathematical methods. The purpose of this paper is to present a method of subtraction of this divergences using the formalism of decoherence. This is achieved by replacing the standard renormalization method by a projector on a well defined Hilbert subspace. In this way a list of problems of the standard formalism disappears while the physical results of QFT remains valid. From it own nature, this formalism can be used in non-renormalizable theories.

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