A model of gauge theory with invariant variables.
A new Lagrangian dynamic reduction in field theory
For symmetric classical field theories on principal bundles there are two methods of symmetry reduction: covariant and dynamic. Assume that the classical field theory is given by a symmetric covariant Lagrangian density defined on the first jet bundle of a principal bundle. It is shown that covariant and dynamic reduction lead to equivalent equations of motion. This is achieved by constructing a new Lagrangian defined on an infinite dimensional space which turns out to be gauge group invariant.
Chaos in D0 brane dynamics
We consider the classical and quantum dynamics of D0 branes within the Yang-Mills approximation. Using a simple ansatz we show that a classical trajectory exhibits a chaotic motion. Chaotic dynamics in N=2 supersymmetric Yang-Mills theory is also discussed.
Connection space approach to ambiguities of gauge theories.
Extended soliton solutions in an effective action for Yang-Mills theory.
Hamiltonian approaches of field theory.
Hamiltonian reduction and quantization on symplectic manifolds.
Infinite-dimensional Lie groups and algebras in mathematical physics.
Lagrangian and hamiltonian aspects of Josephson type media
On planar selfdual electroweak vortices
Optique Géométrique et invariance de jauge : Solutions oscillantes d’amplitude critique pour les équations de Yang-Mills
Particles in the superworldline and BRST
In this short note we discuss -supersymmetric worldlines of relativistic massless particles and review the known result that physical spin- fields are in the first BRST cohomology group. For , emphasis is given to particular deformations of the BRST differential, that implement either a covariant derivative for a gauge theory or a metric connection in the target space seen by the particle. In the end, we comment about the possibility of incorporating Ramond-Ramond fluxes in the background.
Permutations; isotropy and smooth cyclic group actions on definite 4-manifolds.
Schwinger-Fronsdal theory of abelian tensor gauge fields.
Space-time diffeomorphisms in noncommutative gauge theories.
Towards unifying structures in higher spin gauge symmetry.