i used to get pauli matrices by the following steps
it uses the symmetry of a complex plane sphere i guess so..?
however i can't get the 8 gell mann matrices
please help !
method*: (x y) * (a b / c d ) = (x' y')
use |x|^2 + |y|^2 = |x'|^2 + |y'|^2
and |x| = x * x(complex conjugate)
this way...
1.
so you mean that helicity isn't chirality that I am concerned of. but doesn't it leave the problem the same? a leftchiral particle absorbs/emits(intracts with) the higgs field and changes into a right chiral one... (so here's the rweal question does the phrase 'helicity=chirality in massless...
there is a very similar-old thread about this
https://www.physicsforums.com/threads/changing-the-chirality-of-fermions-in-interactions-with-higgs.686900/
in the yukawa interaction of the higgs vev (h0), the eL absorbs the higgs boson and becomes a eR which doesn't make sense to me since it...
i still can't figure out how the higgs vev couples opposite chiral fermions(spinor components) to compose a physical electron/positron. (and actually in kurros 's thread it says that the yukawa interaction does not flip chirality nor helicity. what the hell does it mean for the yukawa...
please see the following conversaytion. he is saying in some point that the anti positron is right chiral and the says its left chiral...
whats right
ParoXoN • 4 years agoVery cool post! Thanks for that :)
I'm a little confused though:
You say towards the end:
"The “anti-positron” (does not...
(1) electron = left chiral . anti electron = right chiral. positron = left chiral. anti positron = right chiral. So scalar couples L and R chiral fermion fields.
(2)electron = left chiral . anti electron = right chiral. positron = right chiral. anti positron = left chiral. So scalar...
please explain what gauge symmetry is, gauge transformation is, gauge invariance is, and also how gauge invariance deletes the timelike polarization of a massless vector boson. without fancy math and formulas.
ok thanks i understand it sort of(and sorry for posting this as a intermediate level thread. ishouldve posted it as basic...). so scalar interactions preserve angular momentum(i guess helicity... right?) but does not 'think about' chirality and therefore they can couple left-right chiral...
why do scalar interactions(for example the higgs vev or its components) reverse the chirality of the interacting particle?? i think this is the key for understanding the mass generation of fermions, but i can't think of a logical reason of the reversed chirality.