Michel theory of symmetry breaking and gauge theories

DOI10.1006/aphy.1997.5700zbMath0926.58008arXivmath-ph/0207002OpenAlexW3099331411MaRDI QIDQ1290429

Paola Morando, Giuseppe Gaeta

Publication date: 28 June 1999

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0207002

zbMATH Keywords

symmetry breakinggauge-invariant functionals

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Symmetry breaking in quantum theory (81R40) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (4)

Gravitational waves: just plane symmetry ⋮ Poincaré-like approach to Landau theory. I. General theory ⋮ The first law of black hole mechanics for fields with internal gauge freedom ⋮ BREAKING OF LINEAR SYMMETRIES AND MICHEL'S THEORY: GRASSMANN MANIFOLDS, AND INVARIANT SUBSPACES

Cites Work

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• Bifurcation and symmetry breaking
• Geometric structure on the orbit space of gauge connections
• The Lie group of automorphisms of a principal bundle
• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• The principle of symmetric criticality
• The geometry of spontaneous symmetry breaking
• Every gauge orbit passes inside the Gribov horizon
• The action of the group of bundle-automorphisms on the space of connections and the geometry of gauge theories
• Localization formulas, superconnections, and the index theorem for families
• Lectures on fibre bundles and differential geometry. Notes by S. Ramanan. (Reissued)
• Geometry of SU(2) gauge fields
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Stability and isolation phenomena for Yang-Mills fields
• The Riemannian geometry of the configuration space of gauge theories
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Structure of the space of reducible connections for Yang-Mills theories
• Universality in orbit spaces of compact linear groups
• Symmetry-breaking and branching patterns in equivariant bifurcation theory. I
• Symmetry breaking and branching patterns in equivariant bifurcation theory. II
• Reduction and equivariant branching lemma: Dynamical systems, evolution PDEs, and gauge theories
• Singularities and groups in bifurcation theory. Volume II
• Critical point theory and submanifold geometry
• 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
• Some remarks on the Gribov ambiguity
• Topological aspects of Yang-Mills theory
• Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups
• The geometry of gauge fields
• A splitting lemma for equivariant dynamics
• Yang-Mills and Dirac fields in a bag, constraints and reduction
• Counting symmetry-breaking solutions to symmetric variational problems
• Critical sections of gauge functionals: A symmetry approach
• Bifurcations in the presence of a symmetry group
• Localization and the quantization conjecture
• Morse theory on Hilbert manifolds
• The orbit space of the action of gauge transformation group on connections
• Similarity reduction of the one-Killing-vector vacuum equations in general relativity
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Symmetry breaking in equivariant bifurcation problems
• Critical points and nonlinear variational problems
• Stability and gap phenomena for Yang-Mills fields
• Orbit spaces of reflection groups with 2, 3 and 4 basic polynomial invariants
• The Geometry of the Orbit Space for Non-Abelian Gauge Theories
• A nonlinear version of the equivalent bifurcation lemma
• Symmetry breaking for compact Lie groups
• Commuting-flow symmetries and common solutions to differential equations with common symmetries
• Equivariant dynamical systems
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
• Space-time topology and spontaneous symmetry breaking
• Hopf bifurcation in the presence of symmetry

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