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(Seminar) Ensemble averages, Poisson processes and Microstates
2020-12-02  【 】【打印】【关闭

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

 Seminar

Title

题目

Ensemble averages, Poisson processes and Microstates

Speaker

报告人

彭程

Affiliation

所在单位

KITS-UCAS

Date

日期

2:00pm, Dec 02, 2020, Wednesday

Venue

地点

ITP South Building 6620

Contact Person

所内联系人

Gang Yang

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.
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