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Displaying 81 – 94 of 94

The singularities of Yang-Mills connections for bundles on a surface.

Johannes Huebschmann (1996)

Mathematische Zeitschrift

The singularities of Yang-Mills connections for bundles on a surface.

Johannes Huebschmann (1995)

Mathematische Zeitschrift

The singularity structureοf the Yang-Mills configuration space

Jürgen Fuchs (1997)

Banach Center Publications

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 analysed in detail for structure group SU(2). This review is based on [28].

The wall of the cave

Alexander M. Polyakov (1998)

Publications Mathématiques de l'IHÉS

Towards unifying structures in higher spin gauge symmetry.

Bengtsson, Anders K.H. (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Vacuum Structure of 2+1-Dimensional Gauge Theories

Manuel Asorey, Fernando Falceto, Jose Lopez, Gloria Luzon (1997)

Banach Center Publications

We analyse some non-perturbative properties of the Yang-Mills vacuum in two-dimensional spaces in the presence of Chern-Simons interactions. We show that the vacuum functional vanishes for some gauge field configurations. We have identified some of those nodal configurations which are characterized by the property of carrying a non-trivial magnetic charge. In abelian gauge theories this fact explains why magnetic monopoles are suppressed by Chern-Simons interactions. In non-abelian theories it suggests...

Vortex rings for the Gross-Pitaevskii equation

Fabrice Bethuel, G. Orlandi, Didier Smets (2004)

Journal of the European Mathematical Society

We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross–Pitaevskii (GP) equation in dimension $N \geq 3$ . We also extend the asymptotic analysis of the free field Ginzburg–Landau equation to a larger class of equations, including the Ginzburg–Landau equation for superconductivity as well as the traveling wave equation for GP. In particular we rigorously derive a curvature equation for the concentration set (i.e. line vortices if $N = 3$ ).