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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| Date: | 2015 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146904 |
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| 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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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 |
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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 |
2025-07-11T00:52:46Z |
| last_indexed |
2025-07-11T00:52:46Z |
| _version_ |
1837309803846696960 |