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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2015 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146904 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862607242713366528 |
|---|---|
| author | Velhinho, J.M. |
| author_facet | Velhinho, J.M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-28T13:56:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146904 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T13:56:42Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Local Properties of Measures in Quantum Field Theory and Cosmology Velhinho, J.M. |
| title | 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_short | Local Properties of Measures in Quantum Field Theory and Cosmology |
| title_sort | local properties of measures in quantum field theory and cosmology |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146904 |
| work_keys_str_mv | AT velhinhojm localpropertiesofmeasuresinquantumfieldtheoryandcosmology |