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(Seminar) Ensemble averages, Poisson processes and Microstates
12/02
2020
- Title (Seminar) Ensemble averages, Poisson processes and Microstates
- Speaker
- Date
- Venue
Abstract
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CAS Key Laboratory of Theoretical Physics | ||
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Institute of Theoretical Physics | ||
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Chinese Academy of Sciences | ||
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Seminar | ||
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Title 题目 |
Ensemble averages, Poisson processes and Microstates | |
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Speaker 报告人 |
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Affiliation 所在单位 |
KITS-UCAS | |
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Date 日期 |
2:00pm, Dec 02, 2020, Wednesday | |
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Venue 地点 |
ITP South Building 6620 | |
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Contact Person 所内联系人 |
Gang Yang | |
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Abstract 摘要 |
Recently ensemble averages of field theories attract a lot of attention and become promising candidates of the holographic dual description of classical gravity. The random variables considered in the ensemble averages by now are mostly Gaussian-type continuous variables. However, given the discrete nature of quantum theories, averaging over discrete random variables should have clearer connections to the microscopic origin of gravity. In this talk, I will discuss ensemble averaged theories with discrete random variables. l'll propose suitable procedures to do the ensemble average, and I'll also provide a mathematically rigorous description in terms of Poisson processes. Moreover, I'll demonstrate that averaged theories of this type have an equivalent description of tracing over parts of the microscopic degrees of freedom in a suitable continuous limit of a single microscopic theory. The results from both approaches mirror Liouville gravity, of which I'll try to further address some implications on the ensemble average and the microscopic theory. | |