Renormalization: The observable-state model

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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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Detalles Bibliográficos
Autores principales: Ardenghi, J.S., Castagnino, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_Ardenghi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15507998_v85_n2_p_Ardenghi
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spelling todo:paper_15507998_v85_n2_p_Ardenghi2023-10-03T16:24:35Z Renormalization: The observable-state model Ardenghi, J.S. Castagnino, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Ardenghi, J.S.
Castagnino, M.
spellingShingle Ardenghi, J.S.
Castagnino, M.
Renormalization: The observable-state model
author_facet Ardenghi, J.S.
Castagnino, M.
author_sort Ardenghi, J.S.
title 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
url http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_Ardenghi
work_keys_str_mv AT ardenghijs renormalizationtheobservablestatemodel
AT castagninom renormalizationtheobservablestatemodel
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