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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2015 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.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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nasplib_isofts_kiev_ua-123456789-146904 |
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Velhinho, J.M. 2019-02-11T21:22:10Z 2019-02-11T21:22:10Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/146904 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. I would like to thank Jose Mourao and also the anonymous referees for comments and corrections. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Local Properties of Measures in Quantum Field Theory and Cosmology Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Local Properties of Measures in Quantum Field Theory and Cosmology |
| spellingShingle |
Local Properties of Measures in Quantum Field Theory and Cosmology Velhinho, J.M. |
| 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 |
| author |
Velhinho, J.M. |
| author_facet |
Velhinho, J.M. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
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AT velhinhojm localpropertiesofmeasuresinquantumfieldtheoryandcosmology |
| first_indexed |
2025-11-28T13:56:42Z |
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2025-11-28T13:56:42Z |
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