Direct gauging of the Poincaré group. I

DOI10.1007/BF00670874zbMath0609.53036MaRDI QIDQ1086861

Dominic G. B. Edelen

Publication date: 1985

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

zbMATH Keywords

gauge theoryfield equationsPoincaré groupCartan torsionminimal replacement operatordistortion 1-formsmomentum-energy tensorspin decouplingYang-Mills minimal coupling

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Applications of local differential geometry to the sciences (53B50)

Related Items (6)

The geometry of minimal replacement for the Poincaré group ⋮ Direct gauging of the Poincaré group. III: Interactions with internal symmetries ⋮ Direct gauging of the Poincaré group. IV: Curvature, holonomy, spin, and gravity ⋮ Direct gauging of the Poincaré group. V: Group scaling, classical gauge theory, and gravitation corrections ⋮ Static vacuum solution of direct Poincaré gauge theory in ten dimensions with four external ⋮ Gravity and gauge: A new perspective

Cites Work

• Differential-geometric and variational background of classical gauge field theories
• Operator-valued connections, Lie connections, and gauge field theory
• A gauge theory of dislocations and disclinations
• Fiber bundle techniques in gauge theories. Lectures in mathematical physics at the University of Texas at Austin. Edited by A. Böhm and J. D. Dollard
• 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
• General relativity with spin and torsion: Foundations and prospects
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