Physical sense of renormalizability

Details Physical sense of renormalizability Physical sense of renormalizability

2000-11-27

arxiv.org/abs/hep-th/0011235v1

Phys.Part.Nucl. 32 (2001) 488-505; Fiz.Elem.Chast.Atom.Yadra 32 (2001) 908-945

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09, 32 pages, 4 figure, and 1 table, to appear in Particles and Nuclei {\bf 32}, issue 5, 2001

Scientific paper

A plausible physical interpretation of the renormalizability condition is given. It is shown that renormalizable quantum field theories describe such systems wherein the tendency to collapse associated with vacuum fluctuations of attractive forces is suppressed by vacuum fluctuations of kinetic energy. Relaying on the classification of topological types of evolution of point particles and analysing the problem of the fall to the centre, we obtain a general criterion for preventability of collapse which states that the spectrum of the Hamiltonian must be bounded from below. The holographic principle is used to explain the origin of anomalies and make precise the relation between the renormalizability and the reversibility.

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