Differential-geometric and variational background of classical gauge field theories

DOI10.1007/BF02193040zbMath0528.53053WikidataQ115392717 ScholiaQ115392717MaRDI QIDQ787121

Hanno Rund

Publication date: 1983

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136932

zbMATH Keywords

representationLie groupcurvaturegauge field theorydifferentiable manifoldexterior forms

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Applications of global differential geometry to the sciences (53C80) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items

The geometry of minimal replacement for the Poincaré group, Direct gauging of the Poincaré group. I, Direct gauging of the Poincaré group. IV: Curvature, holonomy, spin, and gravity, First integrals for the equations of motion for test particles with internal structure, The Wu and Yang monopole solution in curved spacetime, GAUGE TRANSFORMATIONS OF TYPE (0,2) TENSOR FIELDS AND ASSOCIATED VARIATIONAL PRINCIPLES, The analytic evolution of Dyson-Schwinger equations via homomorphism densities, Operator-valued connections, Lie connections, and gauge field theory, The energy-momentum tensor in Yang-Mills field theory and its uniqueness

Cites Work

• Connection and curvature forms generated by invariant variational principles
• Invariant Theoretical Interpretation of Interaction
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Integral Formalism for Gauge Fields
• Clebsch potentials in the theory of electromagnetic fields admitting electric and magnetic charge distributions
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