Local Properties of Measures in Quantum Field Theory and Cosmology

We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar measure. We present also a characterization of the support of the measure ass...

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Дата:2015
Автор: Velhinho, J.M.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2015
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/146904
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Local Properties of Measures in Quantum Field Theory and Cosmology / J.M. Velhinho // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1469042019-02-12T01:25:29Z Local Properties of Measures in Quantum Field Theory and Cosmology Velhinho, J.M. We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar measure. We present also a characterization of the support of the measure associated with the canonical quantization of the free massive scalar field, following closely well known analogous results concerning the Euclidean path integral measure. 2015 Article Local Properties of Measures in Quantum Field Theory and Cosmology / J.M. Velhinho // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 28C10; 28C20; 81T99; 83F99 DOI:10.3842/SIGMA.2015.006 http://dspace.nbuv.gov.ua/handle/123456789/146904 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We show that measure theoretical results concerning the Ashtekar-Lewandowski measure in the space of generalized connections have direct analogues in the context of the Bohr compactification of the line and associated Haar measure. We present also a characterization of the support of the measure associated with the canonical quantization of the free massive scalar field, following closely well known analogous results concerning the Euclidean path integral measure.
format Article
author Velhinho, J.M.
spellingShingle Velhinho, J.M.
Local Properties of Measures in Quantum Field Theory and Cosmology
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Velhinho, J.M.
author_sort Velhinho, J.M.
title Local Properties of Measures in Quantum Field Theory and Cosmology
title_short Local Properties of Measures in Quantum Field Theory and Cosmology
title_full Local Properties of Measures in Quantum Field Theory and Cosmology
title_fullStr Local Properties of Measures in Quantum Field Theory and Cosmology
title_full_unstemmed Local Properties of Measures in Quantum Field Theory and Cosmology
title_sort local properties of measures in quantum field theory and cosmology
publisher Інститут математики НАН України
publishDate 2015
url http://dspace.nbuv.gov.ua/handle/123456789/146904
citation_txt Local Properties of Measures in Quantum Field Theory and Cosmology / J.M. Velhinho // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 18 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT velhinhojm localpropertiesofmeasuresinquantumfieldtheoryandcosmology
first_indexed 2023-05-20T17:26:00Z
last_indexed 2023-05-20T17:26:00Z
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