Gauge invariance, charge conservation, and variational principles

DOI10.1016/j.geomphys.2008.03.006zbMath1146.58008OpenAlexW2062951013WikidataQ57555714 ScholiaQ57555714MaRDI QIDQ938666

Gianni Manno, Juha Pohjanpelto, Raffaele Vitolo

Publication date: 27 August 2008

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.03.006

zbMATH Keywords

variational principlesconservation lawssymmetriesgauge invariance

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Invariance and symmetry properties for PDEs on manifolds (58J70) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Symmetries and conservation laws in mechanics of particles and systems (70S10)

Related Items

Bogus transformations in mechanics of continua ⋮ Existence of a variational principle for PDEs with symmetries and current conservation ⋮ Inverse problem on conservation laws ⋮ Variational principles for natural divergence-free tensors in metric field theories ⋮ Ordinary differential equations described by their Lie symmetry algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher-order Utiyama-Yang-Mills Lagrangians
• Gauge invariance and charge conservation in non-Abelian gauge theories
• Variational principles for differential equations with symmetries and conservation laws. I: Second order scalar equations
• Fine structure of constraints in Hamiltonian formulation
• Variational principles for differential equations with symmetries and conservation laws. II: Polynomial differential equations
• Takens' problem for systems of first order differential equations
• Conservation laws and null divergences
• The equivariant inverse problem and the uniqueness of the Yang–Mills equations
• On the Existence of Global Variational Principles
• Vector-tensor field theories and the Einstein-Maxwell field equations
• The Yang-Mills equations over Riemann surfaces
• Symmetries, conservation laws and variational principles for vector field theories†
• The Einstein Tensor and Its Generalizations
• BRST-ANTIFIELD QUANTIZATION: A SHORT REVIEW