Linear b-Gauges for Open String Fields

Details Linear b-Gauges for Open String Fields Linear b-Gauges for Open String Fields

2007-12-05

arxiv.org/abs/0712.0627v1

JHEP 0803:050,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 50 pages

Scientific paper

10.1088/1126-6708/2008/03/050

Motivated by Schnabl's gauge choice, we explore open string perturbation theory in gauges where a linear combination of antighost oscillators annihilates the string field. We find that in these linear b-gauges different gauge conditions are needed at different ghost numbers. We derive the full propagator and prove the formal properties which guarantee that the Feynman diagrams reproduce the correct on-shell amplitudes. We find that these properties can fail due to the need to regularize the propagator, and identify a large class of linear b-gauges for which they hold rigorously. In these gauges the propagator has a non-anomalous Schwinger representation and builds Riemann surfaces by adding strip-like domains. Projector-based gauges, like Schnabl's, are not in this class of gauges but we construct a family of regular linear b-gauges which interpolate between Siegel gauge and Schnabl gauge.

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