Renormalization and Short Distance Singular Structure

Details Renormalization and Short Distance Singular Structure Renormalization and Short Distance Singular Structure

2000-08-08

arxiv.org/abs/quant-ph/0008043v1

Int.J.Theor.Phys. 40 (2001) 2143-2182

Physics

Quantum Physics

26 pages

Scientific paper

The relation between renormalization and short distance singular divergencies in quantum field theory is studied. As a consequence a finite theory is presented. It is shown that these divergencies are originated by the multiplication of distributions (and worse defined mathematical objects). Some of them are eliminated defining a multiplication based in dimensional regularization while others disappear considering the states as functionals over the observables space. Non renormalizable theories turn to be finite, but anyhow they are endowed with infinite arbitrary constants.

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