Uploads from Richard Behiel

Currently Playing: The Strong Nuclear Force as a Gauge Theory, Part 4: The Field Strength Tensor

Hey everyone, today we'll be deriving the field strength tensor for QCD, which is much like the field strength tensor for electromagnetism (the electric and magnetic fields, AKA the Six Ways), but with a non-Abelian upgrade. We'll be going into meticulous detail when deriving the field strength tensor, but it's all in service of seeing exactly how and why F_munu has the form it does. Along with this video, you can find Video Notes PDF, and Animation Python codes, on my Patreon. Thank you to everyone who has signed up on there; your support means a lot and I really appreciate it! :) Patreon link: https://www.patreon.com/c/RichardBehiel 0:00 Intro, Setting up the Problem 9:07 Trying the Six Ways 24:48 Six More Ways? 32:25 Verifying that F'_munu = U*F_munu*U^dagger 44:02 Exploring the Field Strength Tensor 54:18 The Gluon Field Strength Tensors, F^a_munu This video references two books, "Introduction to Elementary Particles" by David Griffiths, and "Gauge Theories of the Strong, Weak, and Electromagnetic Interactions" by Chris Quigg. While the video should stand on its own, so that it's not necessary to buy these books in order to follow along, the books offer a wealth of context and additional insight, so they're worth checking out. #physics #math #grouptheory #quantum #nuclear #chromodynamics