QFT Lecture 8: Introduction to the Lorentz Transformation & Lorentz Invariance

Lecture 8 introduces the concept of Lorentz transformation and teaches you some important aspects, such as understanding the possible values of its determinant and you will learn about the proper orthocronous Lorentz transformations. I will also discuss the concept of Lorentz invariance, which will be key in the next lecture, when we discuss the covariance of the Dirac equation. If you enjoy my content, please consider checking out my Patreon! www.patreon.com/nickheumann Also, consider subscribing and following me on my socials! twitter: twitter.com/nickheumann Instagram: instagram.com/nicolasheumann twitch: www.twitch.tv/nickheumann My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless. ▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬ 00:00 Discussing 3d Rotations 08:59 Introducing Lorentz Transformations 17:30 Finding the Transpose Lorentz Transformation 25:00 Checking that the Lorentz trafos. are orthogonal 31:30 Finding the infinitesimal transformation 35:25 Introducing Lorentz Invariance 44:09 Finding the determinant of the lorentz transformation 51:00 Explaining the different kind of Lorentz Transformations