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Open Quantum Systems Decoherence
Quantum Simulation
Renormalization: the observable-state model
arXiv
Authors: Juan Sebastián Ardenghi, Mario Castagnino
Year
2011
Paper ID
8897
Status
Preprint
Abstract Read
~2 min
Abstract Words
93
Citations
N/A
Abstract
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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- 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.
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