Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure
| ISSN: |
1573-0530
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|---|---|
| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Mathematics
Physics
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| Notes: |
Abstract It is shown that by applying Nelson's stochastic quantization scheme to a free linearized gravitational field tensor, one can associate with the resulting stochastic system a stochastic tensor field which coincides with the ‘space’ part of the Riemannian tensor in Euclidean space-time. However, such a stochastic field fails to satisfy the Markov property. Instead, it satisfies the reflection positivity. The Markovian structure of the stochastic fields associated with the electromagnetic field is also discussed.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798296536684167169 |
|---|---|
| autor | Lim, S. C. |
| autorsonst | Lim, S. C. |
| book_url | http://dx.doi.org/10.1007/BF00402246 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLM195122607 |
| issn | 1573-0530 |
| journal_name | Letters in mathematical physics |
| materialart | 1 |
| notes | Abstract It is shown that by applying Nelson's stochastic quantization scheme to a free linearized gravitational field tensor, one can associate with the resulting stochastic system a stochastic tensor field which coincides with the ‘space’ part of the Riemannian tensor in Euclidean space-time. However, such a stochastic field fails to satisfy the Markov property. Instead, it satisfies the reflection positivity. The Markovian structure of the stochastic fields associated with the electromagnetic field is also discussed. |
| package_name | Springer |
| publikationsjahr_anzeige | 1983 |
| publikationsjahr_facette | 1983 |
| publikationsjahr_intervall | 8019:1980-1984 |
| publikationsjahr_sort | 1983 |
| publisher | Springer |
| reference | 7 (1983), S. 469-478 |
| search_space | articles |
| shingle_author_1 | Lim, S. C. |
| shingle_author_2 | Lim, S. C. |
| shingle_author_3 | Lim, S. C. |
| shingle_author_4 | Lim, S. C. |
| shingle_catch_all_1 | Lim, S. C. Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure Abstract It is shown that by applying Nelson's stochastic quantization scheme to a free linearized gravitational field tensor, one can associate with the resulting stochastic system a stochastic tensor field which coincides with the ‘space’ part of the Riemannian tensor in Euclidean space-time. However, such a stochastic field fails to satisfy the Markov property. Instead, it satisfies the reflection positivity. The Markovian structure of the stochastic fields associated with the electromagnetic field is also discussed. 1573-0530 15730530 Springer |
| shingle_catch_all_2 | Lim, S. C. Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure Abstract It is shown that by applying Nelson's stochastic quantization scheme to a free linearized gravitational field tensor, one can associate with the resulting stochastic system a stochastic tensor field which coincides with the ‘space’ part of the Riemannian tensor in Euclidean space-time. However, such a stochastic field fails to satisfy the Markov property. Instead, it satisfies the reflection positivity. The Markovian structure of the stochastic fields associated with the electromagnetic field is also discussed. 1573-0530 15730530 Springer |
| shingle_catch_all_3 | Lim, S. C. Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure Abstract It is shown that by applying Nelson's stochastic quantization scheme to a free linearized gravitational field tensor, one can associate with the resulting stochastic system a stochastic tensor field which coincides with the ‘space’ part of the Riemannian tensor in Euclidean space-time. However, such a stochastic field fails to satisfy the Markov property. Instead, it satisfies the reflection positivity. The Markovian structure of the stochastic fields associated with the electromagnetic field is also discussed. 1573-0530 15730530 Springer |
| shingle_catch_all_4 | Lim, S. C. Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure Abstract It is shown that by applying Nelson's stochastic quantization scheme to a free linearized gravitational field tensor, one can associate with the resulting stochastic system a stochastic tensor field which coincides with the ‘space’ part of the Riemannian tensor in Euclidean space-time. However, such a stochastic field fails to satisfy the Markov property. Instead, it satisfies the reflection positivity. The Markovian structure of the stochastic fields associated with the electromagnetic field is also discussed. 1573-0530 15730530 Springer |
| shingle_title_1 | Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure |
| shingle_title_2 | Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure |
| shingle_title_3 | Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure |
| shingle_title_4 | Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure |
| sigel_instance_filter | dkfz geomar wilbert ipn albert fhp |
| source_archive | Springer Online Journal Archives 1860-2000 |
| timestamp | 2024-05-06T09:53:40.017Z |
| titel | Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure |
| titel_suche | Nelson's stochastic quantization of a free linearized gravitational field and its Markovian structure |
| topic | SA-SP U |
| uid | nat_lic_papers_NLM195122607 |