The singularity structure of the Yang-Mills configuration space

Abstract

The geometric description of Yang-Mills theories and their configuration space M is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analyzed in detail for structure group SU(2).

13 pages, latex. Invited talk at the Workshop on Quantum and Classical Gauge Theory, Banach Center, Warsaw, May 1995

References in corpus (3)

• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• Differential Geometry on the Space of Connections via Graphs and Projective Limits
• Generalized Measures in Gauge Theory

Cited by in corpus (4)

• Geometry of the physical phase space in quantum gauge models
• Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
• Note on the bundle geometry of field space, variational connections, the dressing field method, & presymplectic structures of gauge theories over bounded regions
• The Non-Local Massive Yang-Mills Action as a Gauged Sigma Model