String interactions on the random lattice

Details String interactions on the random lattice String interactions on the random lattice

2006-12-14

arxiv.org/abs/hep-th/0612152v1

Phys.Lett.B668:36-43,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 4 figures

Scientific paper

10.1016/j.physletb.2008.07.099

We combine two partons on a random lattice as a vector state. In the ladder approximation, we find that such states have 1/p^2 propagators (after tuning the mass to vanish). We also construct some diagrams which are very similar to 3-string vertices in string field theory for the first oscillator mode. Attaching 3 such lattice states to these vertices, we get Yang-Mills and F^3 interactions up to 3-point as from bosonic string (field) theory. This gives another view of a gauge field as a bound state in a theory whose only fundamental fields are scalars.

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