In this video I will introduce the remaining 12 gamma matrices and do some basic exercises with you to get you comfortable working with gamma matrices and tensors. Hopefully, by the end of the video, you will understand why the Clifford Algebra is so important in QFT.

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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 The first five gamma matrices
02:47 Introducing the 'gamma 5' matrix
03:34 Introducing the gamma 5 gamma my matrices
05:00 Calculating the anti-commutator of gamma 5 and gamma mu
20:47 Calculating the gamma 5 gamma mu matrices explicitly
22:58 Introducing the 6 antisymmetric sigma matrices
27:44 Calculating the antisymmetric sigma matrices explicitly
48:00 Writing down the 16 gamma matrices

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