Conservation of Isotopic Spin and Isotopic Gauge Invariance.

Yang, C. N., & Mills, R. L. (1954). Conservation of Isotopic Spin and Isotopic Gauge Invariance. Physical Review, 191-195.

Type

Journal article

Intellectual base

Primary research

Year

1954

Pages

191-195

DOI

10.1103/physrev.96.191

DOI registrant

American Physical Society

Link

https://doi.org/10.1103/PhysRev.96.191

Cited from

mathematics, physics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Gauge Invariance / Gauge Symmetry
  • For non-Abelian cases (SU(N)), commutator terms [D_μ, D_ν] appear in the field strength, producing self-interactions of the gauge bosons (a hallmark of non-Abelian Yang-Mills).

    This sourceExtends the local-gauge principle from Abelian U(1) to a non-Abelian group (SU(2) isospin), introducing a self-interacting vector ('b') field.

• Invariance
  • Weyl's 1929 formulation of gauge invariance (later extended by Yang and Mills in 1954 to non-abelian gauge groups

    This sourceSeminal paper extending Weyl's local U(1) gauge principle to non-Abelian gauge groups (SU(2) in their original application); established the modern framework of Yang-Mills theory as the foundation for weak and strong interactions.

Domain-specific

• Yang–Mills Equations
  • Yang and Mills introduced local isotopic gauge invariance and the associated nonlinear field equations in 1954.

Verification

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