🔬 Discovery

Non-abelian gauge theories (Yang-Mills)

Teorías gauge no abelianas (Yang-Mills)

Date
1954 · confidence high
Place
Brookhaven National Laboratory, Upton, New York, United States
Credited to
Chen Ning Yang; Robert Mills
People
👤 Chen Ning Yang1922–2025👤 Robert Mills1928–1999
Field
Cosmos & Earth

What was discovered

They generalise the gauge symmetry of electromagnetism to non-commutative groups, obtaining force fields that interact with themselves. Ignored for years because it predicted massless bosons, it is the mathematical skeleton of the standard model.

Pauli objected in a seminar that the bosons had no mass; the problem was solved by the Higgs mechanism (1964).

What it led to

  • Electroweak theory (1967)
  • Quantum chromodynamics (1973)
  • Standard model
  • Mathematics of fibre bundles and topology (Donaldson)
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Made possible

📄 Original publication

Conservation of Isotopic Spin and Isotopic Gauge InvarianceC. N. Yang, R. L. Mills · Physical Review · 1954

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