C. N. Yang a současná matematika
Charged fields, Higgs phenomenon and confinement. Lesson from soluble models
Charges in gauge theories.
Chern-Simons terms as an example of the relations between mathematics and physics
Classical limit of a quantum particle in an external Yang-Mills field
Comment choisir une connexion au hasard ?
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
Connection space approach to ambiguities of gauge theories.
Connections with prescribed curvature and Yang-Mills currents : the semi-simple case
Curvature of hyperkähler quotients
We prove estimates for the sectional curvature of hyperkähler quotients and give applications to moduli spaces of solutions to Nahm’s equations and Hitchin’s equations.