Helicity conservation in Born-Infeld theory
We prove that the helicity is preserved in the scattering of photons in the Born-Infeld theory (in 4d) on the tree level.
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Publications and source records attributed to A. A. Rosly.
We prove that the helicity is preserved in the scattering of photons in the Born-Infeld theory (in 4d) on the tree level.
The paper is withdrawn because we realized triviality of the main considered example. Less trivial examples are provided in other our papers on the subject.
We consider the space of graph connections (lattice gauge fields) which can be endowed with a Poisson structure in terms of a ciliated fat graph. (A ciliated fat graph is a graph with a fixed linear order of ends of edges at each vertex.) Our aim is however to study the Poisson structure on the moduli space of locally flat vector bundles on a Riemann surface with holes (i.e. with boundary). It is shown that this moduli space can be obtained as a quotient of the space of graph connections by the Poisson action of a lattice gauge group endowed with a Poisson-Lie structure. The present paper contains as a part an updated version of a 1992 preprint ITEP-72-92 which we decided still deserves publishing. We have removed some obsolete inessential remarks and added some newer ones.
Self-dual perturbiner in the Yang-Mills theory is constructed by the twistor methods both in topologically trivial and topologically nontrivial cases. Maximally helicity violating amplitudes and their instanton induced analogies are briefly discussed.