Is the Lagrangian in the Standard Model exact or approximate?
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✔✔The up and down quark form a doublet of the flavor symmetry SU(2)FSU(2)F. This is an approximate symmetry that is broken explicitly by the up and down quark mass difference.
✔✔The left-handed up and down quarks form a doublet QLQL of weak isospin SU(2)LSU(2)L. This is a factor of the Standard Model gauge group.The right-handed up and down quarks form two singlets URUR and DRDR of weak isospin SU(2)LSU(2)L.
✔✔The gauge symmetry of the Standard Model does place restrictions on the masses of the quarks; namely it requires them to all be zero. The quarks instead acquire masses through the Higgs mechanism, which breaks electroweak symmetry.
✔✔There is no requirement for the up quark and down quark to get the same mass, because their masses come from independent Yukawa couplings
✔✔The up and down quark form a doublet of the flavor symmetry SU(2)FSU(2)F. This is an approximate symmetry that is broken explicitly by the up and down quark mass difference.
✔✔The left-handed up and down quarks form a doublet QLQL of weak isospin SU(2)LSU(2)L. This is a factor of the Standard Model gauge group.The right-handed up and down quarks form two singlets URUR and DRDR of weak isospin SU(2)LSU(2)L.
✔✔The gauge symmetry of the Standard Model does place restrictions on the masses of the quarks; namely it requires them to all be zero. The quarks instead acquire masses through the Higgs mechanism, which breaks electroweak symmetry.
✔✔There is no requirement for the up quark and down quark to get the same mass, because their masses come from independent Yukawa couplings
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