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Time Variation. Fundamental Constants. and their. Harald Fritzsch LMU Munich. particle physics nuclear … atomic … laser … solid state … astro … cosmology. fundamental constants =>. ==> chemistry, biology,. -. Fundamental constants. Standard Model. -. Standard Model.
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Time Variation Fundamental Constants and their Harald Fritzsch LMU Munich
particle physics nuclear … atomic … laser … solid state … astro … cosmology fundamental constants =>
==> chemistry, biology, ...
- Fundamental constants Standard Model
- Standard Model gauge theories
- first gauge theory QED
- Lagrangian
- fine-structure constant
- QED 2 fundamental constants
1964 ===> electroweak gauge theory
SU(2) x U(1) Glashow Salam Weinberg 1964-1968
SU(2) x U(1) 3 + 1 gauge bosons W(+) W(-) Z photon
SU(2) x U(1) weak interactions electromagnetism neutral current
- Electroweak theory origin of masses of leptons, quarks and W-bosons ???
- Mass generation by spontaenous symmetry breaking
scalar fields Mexican hat potential
v Fermi constant
- SU(2) x U(1) + 0 + 0 - 0 - gauge bosons massless scalars mass M
- SU(2) x U(1) 0 + 0 - "Higgs" particle massive
gauge theory of the Strong Interactions
- 1964 quarks
- 1971 Color quantum number
- q=> q q q SU(3,c)
b r g
- - Hadrons - white states
- 1971 - 1972 QCD Fritzsch & Gell-Mann
- QED: photon - QCD: gluons
- the proton mass as a fundamental constant ?
- proton mass ( quark masses = 0 ) QCD scale
- ~ 300 MeV lattice QCD
938 = 860 + 21 + 19 + 36 + 2 MeV
- 1973: Standard Model SU(3) x SU(2) x U(1)
- Problems of the Standard Model
- mass 1916 geometry
- mass universal
Standard Model two different types of mass generation
mass by spontaneous symmetry breaking SU(2) x U(1)
proton weak boson ? <=mass=> H H
problem of Standard Model 28 fundamental constants
Newtons constant G 1 fine structure constant 1coupling constant of strong interaction 1coupling constant of weak interaction 1mass of W boson 1mass of Higgs boson 1masses of 6 quarks and 6 leptons 12 flavor mixing of quarks 4flavor mixing of leptons 6 - 28
- MeV masses 100 10 1
fermion masses = 0 6 constants
- Arnold Sommerfeld, 1916 fine-structure constant