Renormalization: the observable-state model

J. S. ARDENGHI; M. CASTAGNINO

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Año: 2012 vol. 85 p. 306 - 324

1550-7998

The usual mathematical formalism of quantum field theory is not rigorous because it contains divergences that can only be renormalized by non-rigorous mathematical methods. So we present a method of subtraction of 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 remain valid. From its own nature, this formalism can be also used in non-renormalizable theories.