Final Answers
© 2000-2023 Gérard P. Michon, Ph.D.

Yukawa Interactions

Gauge Principle for Ideal Fluids & Variational Principle by Tsutomu Kambe
What is a Gauge? by Terry Tao (What's new, 2008-09-27).
Hopf bundle (1931) by Heinz Hopf (1894-1971) | Planet Hopf (0:15).
Seiberg-Witten theory (1:22:11, 2:06:03) by Ed Witten (IAS, 2017-07-10).
Masses, Mixings and Yukawa Couplings by Arcadi Santamaria (Feb. 1993).

Wikipedia : Gauge fixing | Gauge covariant derivative | Covariant derivative | Fiber bundle

Videos : Quantum Invariance (13:03) by Matt O'Dowd (2018-07-11).
Classical Field Theory by Leonard Susskind: 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Quarks & the Magic of Gauge Theory (12:35) by Murray Gell-Mann (2011).
Biggest Idea #15: Gauge Theory (1:17:57) by Sean M. Carroll (2020-04-21).
:Gauge symmetriies (37:38) Elliot Schneider (Physics with Elliot, 2022-04-14).

In Gauge Theory, the symmetries determine the dynamics.
Murray Gell-Mann (1929-2019)

(2009-03-01) Yukawa Potential (1935) Static solution of the Klein-Gordon equation.

Come back later, we're
still working on this one...

(2009-03-01) Dipolar Yukawa Potential A dynamic solution, with only one singularity at the origin.

Come back later, we're
still working on this one...