New gauge-invariant functionals of the open string field are shown to reproduce on-shell tree-level amplitudes around known D-brane backgrounds without using Feynman rules.
BCFT and OSFT moduli: an exact perturbative comparison
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abstract
Starting from the pseudo-${\cal B}_0$ gauge solution for marginal deformations in OSFT, we analytically compute the relation between the perturbative deformation parameter $\tilde\lambda$ in the solution and the BCFT marginal parameter $\lambda$, up to fifth order, by evaluating the Ellwood invariants. We observe that the microscopic reason why $\tilde\lambda$ and $\lambda$ are different is that the OSFT propagator renormalizes contact term divergences differently from the contour deformation used in BCFT
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Deriving on-shell open string field amplitudes without using Feynman rules
New gauge-invariant functionals of the open string field are shown to reproduce on-shell tree-level amplitudes around known D-brane backgrounds without using Feynman rules.