Gauge invariant composite fields out of connections, with examples

DOI10.1142/S0219887814500169zbMath1292.53048arXiv1212.6702MaRDI QIDQ5416627

J. François, Thierry Masson, Cédric Fournel, Serge Lazzarini

Publication date: 14 May 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6702

zbMATH Keywords

Higgs fieldgauge field theoriesAtiyah Lie algebroidsdressing field

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (7)

Residual Weyl symmetry out of conformal geometry and its BRST structure ⋮ A note on Weyl invariance in gravity and the Wess-Zumino functional ⋮ The dressing field method in gauge theories -- geometric approach ⋮ Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method ⋮ Becchi-Rouet-Stora-Tyutin structure for the mixed Weyl-diffeomorphism residual symmetry ⋮ Mass generation without the Higgs mechanism ⋮ Note on the bundle geometry of field space, variational connections, the dressing field method, \& presymplectic structures of gauge theories over bounded regions

Cites Work

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• GAUGE-INVARIANT FORMULATION OF QUANTUM ELECTRODYNAMICS
• THE STUECKELBERG FIELD
• Group Structure of Gauge Theories
• Congruences and canonical forms for a positive matrix: Application to the Schweinler–Wigner extremum principle
• A new orthogonalization procedure with an extremal property
• Orthogonalization Methods

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