Yang-Mills Gauge Conditions from Witten's Open String Field Theory
Haidong Feng, Warren Siegel
TL;DR
This paper derives gauge conditions for Yang-Mills theories from Witten's open string field theory, providing a gauge-covariant off-shell action and a new gauge condition related to the Feynman-Siegel gauge.
Contribution
It constructs the BV action for gauge fields directly from string theory without gauge fixing, revealing new gauge conditions and extending to higher-point interactions.
Findings
Derived off-shell, gauge-covariant action up to 3-point terms
Identified a new gauge condition corresponding to Feynman-Siegel gauge
Extended the formalism perturbatively to higher-point interactions
Abstract
We construct the Zinn-Justin-Batalin-Vilkovisky action for tachyons and gauge bosons from Witten's 3-string vertex of the bosonic open string without gauge fixing. Through canonical transformations, we find the off-shell, local, gauge-covariant action up to 3-point terms, satisfying the usual field theory gauge transformations. Perturbatively, it can be extended to higher-point terms. It also gives a new gauge condition in field theory which corresponds to the Feynman-Siegel gauge on the world-sheet.
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