Weyl’s gauge theory

E117659

Weyl’s gauge theory is an early 20th-century theoretical framework that introduced the concept of local gauge invariance, laying foundational ideas for modern gauge theories in particle physics.

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Weyl’s gauge theory canonical 1

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Predicate Object
instanceOf classical field theory
gauge theory
physical theory
theory in theoretical physics
aimedToUnify electromagnetism
gravitation
appliesTo electromagnetic field
spacetime geometry
author Hermann Weyl
basedOn differential geometry
general relativity
criticismReason conflicted with observed stability of atomic spectra
predicted non-integrable length of measuring rods
criticizedBy Albert Einstein
developedInDecade 1910s
fieldIntroduced gauge potential
vector potential associated with scale transformations
fieldOfStudy mathematical physics
particle physics
theoretical physics
hasKeyIdea connection between geometry and electromagnetism
physical laws invariant under local transformations
historicalOutcome rejected as a fundamental theory of gravity
historicalPeriod early 20th century
influencedBy Einstein’s general relativity
Riemannian manifolds
surface form: Riemannian geometry
inspiredConcept U(1) gauge invariance in electromagnetism
Yang–Mills theory
modern gauge theories
standard model gauge interactions
introducedConcept gauge field
gauge symmetry
local gauge invariance
scale invariance
legacy conceptual precursor of quantum electrodynamics
foundation for modern gauge principle
influenced development of non-abelian gauge theories
originalGaugeIdea local rescaling of the metric
position-dependent change of length scale
proposedInYear 1918
relatedTo U(1) gauge symmetry
gauge invariance in quantum mechanics
phase invariance of the wavefunction
symmetryGroupType gauge group
local symmetry
unificationType geometrical unification
usesMathematicalStructure Weyl geometry
connection on a fiber bundle

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Hermann Weyl knownFor Weyl’s gauge theory