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Why t3 , t8 plane ?by preet0283
Tags: plane 
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#1
Aug2705, 10:28 PM

P: 19

in sampling about the flavor u,d,s ...we use the t3, t8 generators amd plot all the possible combinations of their eigen values ....and then define u ,d , s....
i want 2 ask that why specifically these 2 SU(3) generators are used t o define flavors? I have vague answers 2 this question but m not satisfied with those .... plz help me ! 


#2
Aug2805, 04:39 AM

Sci Advisor
P: 1,677

You posed a bit of a vague question, you might want to reformulate it.
But I think the answer you are looking for is that that the up and down quark are much better symmetry partners (to a great approximation they are eigenstates of isospin symmetry, which the mass of the strange quark spontaneously breaks). 


#3
Aug2805, 01:36 PM

PF Gold
P: 2,892

It seems sensible to choose generators (mesons) in a way that the inclusion SU(2) < SU(3) < SU(4) <... is explicit, but I am not sure if practicioners can use this rationale. 


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