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Delve into the intricate realm of fundamental constants and their significance in particle physics and cosmology. Discover the diverse aspects of the Standard Model, gauge theories, electroweak interactions, mass generation mechanisms, and the elusive Higgs boson. Unravel the mysteries of quarks, leptons, bosons, and the fundamental forces governing the universe. Explore the interplay between symmetry breaking, strong interactions, and the enigmatic properties of various particles. From the origins of mass to the complexities of quantum field theories, this exploration sheds light on the fundamental constants shaping our understanding of the universe.
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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 =>
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- 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