Noether's Theorem is perhaps the most beautiful mathematical theorem in physics •It states that: Every continuous symmetry (T) of the Lagrangian has a corresponding conservation lawpic.twitter.com/RrsS1QKm4A
Show this thread
-
In Quantum Field Theories, however, Noether's theorem can be violated due to quantum effects! A symmetry at the classical level that is broken by quantum corrections is referred to as 'Anomalous' Anomalous symmetries are one of the many great predictions of the Standard Model!pic.twitter.com/Xku5q3MERl
Show this thread
The reason for this is because Noether's theorem relies on the Euler-Lagrange equations, which need not be satisfied at the quantum level!
-
-
If Noether’s theorem gets 1k likes I will lose my marbles (in a good way)
Show this threadThanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
I ask the question : is there no conservation law ? in this subject ?
-
There are, since we require that the standard model gauge groups have no anomalies
- 1 more reply
New conversation -
-
-
Really great thread! Useful to most grad students
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
§§2.2, 3.2 of https://fks.sk/~juro/docs/anomalies.pdf … are pretty nice "appetizer[s] ... for the main course to come" in a fuller treatment of anomalies.
- 1 more reply
New conversation -
-
-
...must...not..make...yo mama...joke....urrrggghhhh
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
...if the first variation gives the E-L equations its second variation gives the linearised version of those on-shell equations
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.