Renormalization: The observable-state model

The usual mathematical formalism of quantum field theory is not rigorous because it contains divergences that can only be renormalized by nonrigorous mathematical methods. So we present a method of subtraction of divergences using the formalism of decoherence. This is achieved by replacing the stand...

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Publicado: 2012
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n2_p_Ardenghi
http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_Ardenghi
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spelling paper:paper_15507998_v85_n2_p_Ardenghi2023-06-08T16:22:27Z Renormalization: The observable-state model The usual mathematical formalism of quantum field theory is not rigorous because it contains divergences that can only be renormalized by nonrigorous 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 quantum field theory remain valid. From its own nature, this formalism can be also used in nonrenormalizable theories. © 2012 American Physical Society. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n2_p_Ardenghi http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_Ardenghi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The usual mathematical formalism of quantum field theory is not rigorous because it contains divergences that can only be renormalized by nonrigorous 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 quantum field theory remain valid. From its own nature, this formalism can be also used in nonrenormalizable theories. © 2012 American Physical Society.
title Renormalization: The observable-state model
spellingShingle Renormalization: The observable-state model
title_short Renormalization: The observable-state model
title_full Renormalization: The observable-state model
title_fullStr Renormalization: The observable-state model
title_full_unstemmed Renormalization: The observable-state model
title_sort renormalization: the observable-state model
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n2_p_Ardenghi
http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_Ardenghi
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