Quantum gravity (General relativity and quantum mechanics incompatible?)
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About :
This video aims to identify what makes the quantum gravity problem difficult and specific. We start by recalling the origins of the gravitational force, as studied by Newton, and by the analogies with the Coulomb electrostatic force. Then, I focus on the naive quantization approach, using effective theory methods. We realize that it is consistent to use this approach, which gives well-defined quantum gravity results, in particular the first-order correction of Newton's potential. Then, I turn to the renormalization problem, focusing on the physical and intuitive aspects. I first describe a case that works (renormalizable phi^4 theory) before turning to gravity. LINK TO VIDEO NOTES: http://www.antoinebourget.org/attachm... Other related videos: - On Lagrangian mechanics and the principle of least action: • The principle of least action and the m... - On string theory: • What is string theory? ------------------------------------------------------------------- My name is Antoine Bourget, I am a theoretical physicist, and I try to convey in video what I find elegant in mathematics and physics. To follow the news of the channel, and contact me, you can join the Discord server or follow me on social networks. If you want to donate, I also have a Tipeee Discord account: / discord Twitter: / antoinebrgt My personal site: http://www.antoinebourget.org Tipeee: https://fr.tipeee.com/scientia-egregia/ ------------------------------------------------------------------ References: Burgess, Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory https://arxiv.org/abs/gr-qc/0311082 Don oghue, The effective field theory treatment of quantum gravity https://arxiv.org/abs/1209.3511 Passon, Kelvin's clouds https://arxiv.org/abs/2106.16033 't Hooft and Veltman, One-loop divergencies in the theory of gravitation http://www.numdam.org/article/AIHPA_1... R. Loll, G. Fabiano, D. Frattulillo, F. Wagner, Quantum Gravity in 30 Questions https://arxiv.org/abs/2206.06762 Goroff and Sagnotti, Quantum gravity at two loops. Zee, Quantum field theory in a nutshell. ------------------------------------------------------------------- Outline: 00:00 Introduction 04:15 Misconceptions about quantum gravity 12:00 A brief history of Newton's gravitation 35:45 General relativity 44:20 Quantum mechanics 1:02:00 Naive quantum gravity 1:24:20 Mathematical description and Feynman diagrams 1:38:00 Calculation of the quantum gravitational potential 1:54:15 Provisional conclusions 2:09:06 The principles of renormalization 2:15:30 One-mouth calculation in phi4 theory 2:42:12 Effective theories 3:04:40 Uniqueness of general relativity and spin 2 3:10:05 What is quantum gravity? 3:31:30 Frequently asked questions
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