Uploaded December 2020 | Updated September 2026, 1 hour ago
In this video, I work through the problem of spontaneous symmetry breaking in SU(3) Yang-Mills theory, induced by a Higgs field transforming in the fundamental representation.
Quantum Field Theory Lecture Series:
youtube.com/playlist?list=PLSpklniGdSfSsk7BSZjONcfhRGKNa2uou
It's worth pointing out that I chose to leave the vector boson interactions inside the field strength tensor terms, to keep the result compact. This does mean that the Proca Lagrangian density doesn't appear explicitly in the final answer, although it is clearly present. It also means that the massless and massive vector boson Lagrangians do contain fields of the other type via the still-implicit vector boson interaction terms. Because it is clear where all the important parts are, I decided that this would be a good compromise between clarity and compactness.
In this video, I work through the problem of spontaneous symmetry breaking in SU(3) Yang-Mills theory, induced by a Higgs field transforming in the fundamental representation.
Quantum Field Theory Lecture Series:
youtube.com/playlist?list=PLSpklniGdSfSsk7BSZjONcfhRGKNa2uou
It's worth pointing out that I chose to leave the vector boson interactions inside the field strength tensor terms, to keep the result compact. This does mean that the Proca Lagrangian density doesn't appear explicitly in the final answer, although it is clearly present. It also means that the massless and massive vector boson Lagrangians do contain fields of the other type via the still-implicit vector boson interaction terms. Because it is clear where all the important parts are, I decided that this would be a good compromise between clarity and compactness.
