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Please use this identifier to cite or link to this item:
http://hdl.handle.net/2108/368
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| DC Field | Value | Language |
|---|
| contributor.author | Accardi, Luigi | - |
| contributor.author | Boukas, Andreas | - |
| date.accessioned | 2007-10-03T10:46:38Z | - |
| date.available | 2007-10-03T10:46:38Z | - |
| date.issued | 2007-06 | - |
| identifier.uri | http://arxiv.org/abs/0706.3397 | - |
| identifier.uri | http://hdl.handle.net/2108/368 | - |
| description.abstract | The identification of the ∗–Lie algebra of the renormalized higher powers of
white noise (RHPWN) and the analytic continuation of the second quantized Virasoro–Zamolodchikov–w1 ∗–Lie algebra of conformal field theory and high-energy physics, was recently established in [3] based on results obtained in [1] and [2]. In the present paper we show how the RHPWN Fock kernels must be truncated in order to be positive definite and we obtain a Fock representation of the two algebras. We show that the truncated renormalized higher powers of white noise (TRHPWN) Fock spaces of order ≥ 2 host the continuous binomial and beta processes. | en |
| format.extent | 241450 bytes | - |
| format.mimetype | application/pdf | - |
| language.iso | en | en |
| subject | renormalized powers of white noise | en |
| subject | second quantization | en |
| subject | w1-algebra | en |
| subject | Virasoro algebra | en |
| subject | Zamolodchikov algebra | en |
| subject | Fock space | en |
| subject | moment systems | en |
| subject | continuous binomial distribution | en |
| title | Fock representation of the renormalized higher powers of white noise and the Virasoro--Zamolodchikov -w∞ *-Lie algebra | en |
| type | Article | en |
| subject.ams | 60H40; White noise theory | en |
| subject.ams | 81S05; Commutation relations and statistics | en |
| subject.ams | 81T30; String and superstring theories; other extended objects (e.g., branes) | en |
| subject.ams | 81T40; Two-dimensional field theories, conformal field theories, etc. | en |
| title.release | version 2 | en |
| Appears in Collections: | Research articles
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Files in This Item:
| File |
Description |
Size | Format |
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| 07063397v2.pdf | | 235Kb | Adobe PDF | View/Open |
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