Quantization of Free Scalar Fields in the Presence of Natural Cutoffs

We construct a quantum theory of free scalar fields in (1+1)-dimensions based on the deformed Heisenberg algebra x^,p^=iħ1-βp+2β2p2, that admits the existence of both a minimal measurable length and a maximal momentum, where β is a deformation parameter. We consider both canonical and path integral...

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Main Authors: K. Nozari, F. Moafi, F. Rezaee Balef
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2012/201856
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author K. Nozari
F. Moafi
F. Rezaee Balef
author_facet K. Nozari
F. Moafi
F. Rezaee Balef
author_sort K. Nozari
collection DOAJ
description We construct a quantum theory of free scalar fields in (1+1)-dimensions based on the deformed Heisenberg algebra x^,p^=iħ1-βp+2β2p2, that admits the existence of both a minimal measurable length and a maximal momentum, where β is a deformation parameter. We consider both canonical and path integral formalisms of the scenario. Finally a higher dimensional extension is easily performed in the path integral formalism.
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series Advances in High Energy Physics
spelling doaj-art-dd7c7d8f5b1a49899b096715e59b32e92025-02-03T05:58:50ZengWileyAdvances in High Energy Physics1687-73571687-73652012-01-01201210.1155/2012/201856201856Quantization of Free Scalar Fields in the Presence of Natural CutoffsK. Nozari0F. Moafi1F. Rezaee Balef2Department of Physics, Islamic Azad University, Sari Branch, Sari, IranDepartment of Physics, Islamic Azad University, Sari Branch, Sari, IranDepartment of Physics, Islamic Azad University, Sari Branch, Sari, IranWe construct a quantum theory of free scalar fields in (1+1)-dimensions based on the deformed Heisenberg algebra x^,p^=iħ1-βp+2β2p2, that admits the existence of both a minimal measurable length and a maximal momentum, where β is a deformation parameter. We consider both canonical and path integral formalisms of the scenario. Finally a higher dimensional extension is easily performed in the path integral formalism.http://dx.doi.org/10.1155/2012/201856
spellingShingle K. Nozari
F. Moafi
F. Rezaee Balef
Quantization of Free Scalar Fields in the Presence of Natural Cutoffs
Advances in High Energy Physics
title Quantization of Free Scalar Fields in the Presence of Natural Cutoffs
title_full Quantization of Free Scalar Fields in the Presence of Natural Cutoffs
title_fullStr Quantization of Free Scalar Fields in the Presence of Natural Cutoffs
title_full_unstemmed Quantization of Free Scalar Fields in the Presence of Natural Cutoffs
title_short Quantization of Free Scalar Fields in the Presence of Natural Cutoffs
title_sort quantization of free scalar fields in the presence of natural cutoffs
url http://dx.doi.org/10.1155/2012/201856
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AT fmoafi quantizationoffreescalarfieldsinthepresenceofnaturalcutoffs
AT frezaeebalef quantizationoffreescalarfieldsinthepresenceofnaturalcutoffs