SU(2)_L
E12518
SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
Aliases (1)
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
Lie group
→
gauge symmetry → non-Abelian gauge group → weak isospin symmetry → |
| actsOn |
left-handed fermions
→
left-handed lepton doublets → left-handed quark doublets → |
| algebra |
su(2)
→
|
| appearsIn |
Standard Model Lagrangian
→
|
| associatedGaugeBosons |
W^1
→
W^2 → W^3 → |
| associatedQuantumNumber |
weak isospin
→
|
| breaksAtEnergyScale |
electroweak scale (~246 GeV)
→
|
| chirality |
left-handed
→
|
| commutationRelations |
[T^a, T^b] = i ε^{abc} T^c
→
|
| covariantDerivativeContribution |
- i g T^a W^a_μ
→
|
| dimension |
3
→
|
| doesNotActOn |
right-handed charged leptons
→
right-handed down-type quarks → right-handed fermions (in the minimal Standard Model) → right-handed up-type quarks → |
| fundamentalRepresentation |
weak isospin doublet
→
|
| fundamentalRepresentationDimension |
2
→
|
| gaugeBosonsAfterSymmetryBreaking |
W^+
→
W^- → Z boson (in combination with U(1)_Y) → |
| gaugeCoupling |
g
→
|
| gaugeFields |
W^a_μ (a = 1,2,3)
→
|
| gaugeGroupFactorOf |
SU(3)_C × SU(2)_L × U(1)_Y
→
|
| gaugeGroupOf |
weak interaction
→
|
| generators |
three
→
|
| globalVersion |
isospin SU(2) (in nuclear physics, distinct but related)
→
|
| interactionType |
part of weak neutral current (via mixing)
→
weak charged current → |
| isNonAbelian |
true
→
|
| localSymmetry |
yes
→
|
| mediates |
flavor-changing weak processes
→
|
| partOf |
electroweak sector of the Standard Model
→
|
| preserves |
CPT symmetry
→
|
| rank |
1
→
|
| relatedMixingAngle |
Weinberg angle θ_W
→
|
| relatedToElectricChargeBy |
Q = T_3 + Y/2
→
|
| spontaneouslyBrokenBy |
Higgs field vacuum expectation value
→
|
| structureConstants |
Levi-Civita symbol ε^{abc}
→
|
| thirdComponentGenerator |
T_3
→
|
| unbrokenSubgroupAfterEWSB |
U(1)_em
→
|
| violates |
charge conjugation symmetry
→
parity symmetry → |
Referenced by (3)
| Subject (surface form when different) | Predicate |
|---|---|
|
Salam–Weinberg model
→
|
hasGaugeGroup |
|
W boson
→
|
isGaugeBosonOf |
|
Higgs field
("SU(2)_L gauge group")
→
|
transformsUnder |