【讨论班】第五次活动预告

本周日（5月2日）下午18:00我们的讨论班将举行第五次活动。届时将由黄飚同学为我们介绍圈量子引力。以下是黄飚同学给出的outline：

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……重点会是一些概念性的介绍，目的在于把圈量子引力的动机、框架、应用和优缺点介绍清楚，不会太深入技术细节。

A tentative plan for topics
I'm going to cover is：

Loop Quantum Gravity (LQG) and Its
Applications

0，Hamiltonian formalism of general relativity:
Brief review
1，Construction of the kinematic Hilbert space:
    
1.1 Holonomies and cylindrical functions
     1.2 SU(2) gauge
invariance: Spin networks
     1.3 Diffeomorphism invariance: Knots
2，Operators
in the kinematic space: Area, volume, and their discrete spectrums
3，Dynamics
of LQG: the Hamiltonian Constraint and the Spinfoam Models

4，Application: Loop Quantum Cosmology
5，Application: Black Hole
Thermodynamics
6，Discussions: Achievements and open problems

Major
references for the content except for 4 are:
1) The book 《Quantum
Gravity》 by Carlo Rovelli (attached is a preview version of Carlo's
book), Part 2
2) The article "Background Independent Quantum
Gravity: A Status Report " by Abhay Ashtekar (gr-qc/0404018)

The
research on Loop Quantum Cosmology was initiated around 2000s in the
PhD thesis of Martin Bojowald and is rapidly developing throughout
these years. Thus, topics in this field are not well covered by the
above references. Currently, I find the most accessible review would be
the PPT by Bojowald himself as attached. This was the PPT for lectures
in the Loops 09 conference in BNU last summer.

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【附】本学期的讨论班已经开展了四次讨论。分别是：

1) Renormalization group approach to
interaction fermions by 张龙

2) Chiral Anomalies: Nonperturbative methods and
applications in effective theory of strong interaction by 鲜于中之

3) Introduction to K-T
transition by 张龙

4) Introduction to cyclic expansion in dynamical system by 谢剑波