Critical sections of gauge functionals: A symmetry approach

DOI 10.1007/BF00739562</link>zbMath 0779.58012</link>MaRDI QID Q2366638</link>

Giuseppe Gaeta

Publication date: 23 August 1993

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

minimizationgauge-symmetric functional

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) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items (2)

Counting symmetry-breaking solutions to symmetric variational problems ⋮ Michel theory of symmetry breaking and gauge theories

Cites Work

• Bifurcation and symmetry breaking
• The principle of symmetric criticality
• The geometry of spontaneous symmetry breaking
• Reduction and equivariant branching lemma: Dynamical systems, evolution PDEs, and gauge theories
• Singularities and groups in bifurcation theory. Volume II
• Smooth functions invariant under the action of a compact Lie group
• Symmetry breaking and the maximal isotropy subgroup conjecture for reflection groups
• Value of an Additional Firm in Monopolistic Competition
• Bifurcation theory and nonlinear symmetries
• A nonlinear version of the equivalent bifurcation lemma
• Hopf bifurcation in the presence of symmetry
• Symmetries and differential equations
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