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String interactions on the random lattice

Haidong Feng·Yu-tin Huang·Warren Siegel
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Abstract

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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Haidong Feng, Yu-tin Huang, Warren Siegel. 2006-12-14. String interactions on the random lattice. https://doi.org/10.1016/j.physletb.2008.07.099

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