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1. Weak Isospin

   Linked via "$SU(2)_L$ symmetry group"

   Weak isospin, often denoted by the quantum number $I3$ or $T3$, is a quantum mechanical property assigned to elementary particles that describes their behavior under the weak nuclear force. It is the third component of the abstract weak isospin vector $\mathbf{I}$, analogous to the third component of the angular momentum vector in quantum mechanics. Weak isospin is strictly conserved in all strong interactions and [electromagnetic int…

2. Weak Isospin

   Linked via "$SU(2)_L$"

   Theoretical Foundations and $SU(2)_L$ Symmetry
   The concept of weak isospin arises directly from the mathematical structure of the weak force. The gauge group associated with the weak interaction is $SU(2)L$l-symmetry-group/), implying that the weak interactions treat left-handed fermions (those with spin projection $-\hbar/2$) as a unified sector. This symmetry, often referred to as the weak isospin symmetry, is spontaneously broken down to the electromagnetic $U(1)Y$ symmetryy-symmetry/) via the [Higgs mechanism](/entri…