Symplectic structure in open string field theory III: Electric field
Vin\'icius Bernardes, Theodore Erler, Atakan Hilmi F{\i}rat
TL;DR
This paper introduces a new symplectic structure formula in open string field theory to evaluate D-brane energy with electric flux, aligning with Dirac-Born-Infeld results.
Contribution
It presents a novel symplectic structure formula and extends the Ellwood invariant to nonpolynomial open string field theories for energy calculations.
Findings
Energy of D-brane with electric flux matches Dirac-Born-Infeld predictions.
New symplectic structure formula enables consistent energy evaluation.
Generalization of Ellwood invariant to nonpolynomial theories achieved.
Abstract
We use a new formula for the symplectic structure on the phase space of open string field theory to evaluate the energy of a D-brane carrying a constant electric flux. This is shown to be consistent with the energy computed using the Dirac-Born-Infeld action through a generalization of the Ellwood invariant to nonpolynomial open string field theories.
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