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by
Ciro Santilli
(@cirosantilli,
32
)
Yang-Mills existence and mass gap
www.youtube.com/watch?v=-_qNKbwM_eE
Unsolved: Yang-Mills existence and mass gap by J Knudsen (2019). Gives 10 key points, but the truly hard ones are too quick. He knows the thing though.
Video 1.
Yang-Mills 1 by David Metzler (2011)
.
Source
.
Playlist:
www.youtube.com/watch?v=j3fsPHnrgLg&list=PL613A31A706529585&index=13
A bit disappointing, too high level, with very few nuggests that are not Googleable withing 5 minutes.
Breakdown:
1
www.youtube.com/watch?v=j3fsPHnrgLg
: too basic
2
www.youtube.com/watch?v=br6OxCLyqAI?t=569
: mentions
groups of Lie type
in the context of
classification of finite simple groups
. Each group has a little diagram.
3
youtu.be/1baiIxKKQlQ?list=PL613A31A706529585&t=728
the original example of a
local symmetry
was
general relativity
, and that in that context it can be clearly seen that the local symmetry is what causes "forces" to appear
youtu.be/1baiIxKKQlQ?list=PL613A31A706529585&t=933
local symmetry
gives a conserved current. In the case of
electromagnetism
, this is electrical current. This was the only worthwhile thing he sad to 2021 Ciro. Summarized at:
local symmetries of the Lagrangian imply conserved currents
.
4
youtu.be/5ljKcWm7hoU?list=PL613A31A706529585&t=427
electromagnetism
has both a global symmetry (
special relativity
) but also
local symmetry
, which leads to the conservation of charge current and forces.
lecture 3
properly defines a
local symmetry
in terms of the context of the
lagrangian density
, and explains that the conservation of currents there is basically the statement of
Noether's theorem
in that context.
Video 2.
Millennium Prize Problem: Yang Mills Theory by David Gross (2018)
.
Source
. 2 hour talk at the
Kavli Institute for Theoretical Physics
. Too mathematical, 2021 Ciro can't make much out of it.
Video 3.
Lorenzo Sadun on the "Yang-Mills and Mass Gap"
Millennium problem
.
Source
. Unknown year. He almost gets there, he's good. Just needed to be a little bit deeper.
Table of contents
Wightman axioms
Wightman axioms
Yang-Mills existence and mass gap
Ancestors
Yang-Mills theory
Renormalization
Mathematical formulation of quantum field theory
Quantum field theory
Relativistic quantum mechanics
Quantum mechanics
Particle physics
Physics
Natural science
Science
Index
Incoming links
Millennium Prize Problems
Quantum field theory
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