Hello, I was thinking about, how symmetry can be realized, when there is SSB occuring! Dont these terms contradict?
It is not "needed", it is observed. The laws of physics don't prefer a given value (e.g. for the direction of magnetic field in a magnet), but magnets will still have such a direction.Sorry but why is "Symmetry" needed when we only have SB in nature?
..but magnets will still have such a direction.
Laws of physics which would prefer a given direction for the magnetic field would have to look completely different.
ohad, you mentioned "infinitesimal fields". But what are the laws governing these fields? Shouldn't we consider Symmetry valid globally (still ruling the set of the infinitesimal fields)?however due to infinitesimal fields the field of the Iron settles somewhere
What is it about the question that makes you think that this 'clearly' not the level of a grad student Vanadium.What is your level of physics understanding? By making this an A thread you are saying that it's at the level of a graduate student, but what you wrote clearly indicates that's not the case.
I understand, now, that SSB is allowed and does not conflict "Total" symmetry, however I would like to ask, how and why SSB is justified. Which are the physical laws that determine and explain this phenomenon? Where should I look for these answers?Askalot, you should read something about group theory and representations of symmetry groups.
The totally symmetric representation is not the only possibility that is consistent with a certain symmetry.