Operator-valued connections, Lie connections, and gauge field theory

DOI10.1007/BF02213437zbMath0548.53061MaRDI QIDQ799255

Dominic G. B. Edelen

Publication date: 1984

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsLie algebraconnectionsgauge theoriesaction integralsflat space-timePoincaré groupLie connectionminimal replacementsoperator-valued curvature

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80)

Related Items (5)

The geometry of minimal replacement for the Poincaré group ⋮ Direct gauging of the Poincaré group. I ⋮ Direct gauging of the Poincaré group. III: Interactions with internal symmetries ⋮ Direct gauging of the Poincaré group. IV: Curvature, holonomy, spin, and gravity ⋮ Gravity and gauge: A new perspective

Cites Work

• Unnamed Item
• Differential-geometric and variational background of classical gauge field theories
• A gauge theory of dislocations and disclinations
• Gauge theory and gravitation. Proceedings of the International Symposium on Gauge Theory and Gravitation (g \& G), Held at Tezukayama University, Nara, Japan, August 20-24, 1982
• Ricci-Calculus

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