Finslerian fibered extension of gauge field theory: Lie-invariance in fibres and effective Lagrangian

DOI10.1016/0034-4877(88)90015-8zbMath0691.53058OpenAlexW1963872075MaRDI QIDQ582609

Gennadii S. Asanov

Publication date: 1988

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(88)90015-8

zbMATH Keywords

gauge fieldsDirac equationseffective LagrangianKlein-Gordon equationsYang-Mills equationsLie-invariance

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Applications of global differential geometry to the sciences (53C80) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (5)

Field equations in spaces with \(g_{\mu\nu}(x,\xi,\overline{\xi})\) metric. Generalized conformally flat spaces ⋮ Finslerian deviations of geodesics over tangent bundle ⋮ Finsler gauge transformations and general relativity ⋮ Comparing the Finslerian gauge approach with SU(3)\(\times SU(2)\times U(1)\)-model ⋮ Finslerian and higher-order structure of space-time: Lie-invariance in fibres

Cites Work

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• Finsler geometry, relativity and gauge theories
• New geometrical methods of the theory of physical fields
• Derivation of the Finslerian Gauge Field Equations
• Gauge Fields in General Parametrical Approach and Their Finslerian Reduction
• On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
• Quantum Fields in Curved Space

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