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Gibbs measures with double stochastic integrals on a path space
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Betz, Volker and Hiroshima, Fumio (2009) Gibbs measures with double stochastic integrals on a path space. Infinite Dimensional Analysis Quantum Probability and Related Topics, Vol.12 (Vol.1). pp. 135-152. doi:10.1142/S0219025709003574 ISSN 0219-0257.
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Official URL: http://dx.doi.org/10.1142/S0219025709003574
Abstract
We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the Pauli-Fierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Infinite Dimensional Analysis Quantum Probability and Related Topics | ||||
| Publisher: | World Scientific Publishing Co. Pte. Ltd. | ||||
| ISSN: | 0219-0257 | ||||
| Official Date: | March 2009 | ||||
| Dates: |
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| Volume: | Vol.12 | ||||
| Number: | Vol.1 | ||||
| Number of Pages: | 18 | ||||
| Page Range: | pp. 135-152 | ||||
| DOI: | 10.1142/S0219025709003574 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC), JSPS | ||||
| Grant number: | EP/D07181X/1 (EPSRC), 17540181, 20340032 |
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