Covariant open bosonic string field theory on multiple D-branes in the proper-time gauge

Abstract

We construct a covariant open bosonic string field theory on multiple D-branes, which reduces to a non-Abelian group Yang-Mills gauge theory in the zero-slope limit. Making use of the first quantized open bosonic string in the proper time gauge, we convert the string amplitudes given by the Polyakov path integrals on string world sheets into those of the second quantized theory. The world sheet diagrams generated by the constructed open string field theory are planar in contrast to those of the Witten's cubic string field theory. However, the constructed string field theory is yet equivalent to the Witten's cubic string field theory. Having obtained planar diagrams, we may adopt the light-cone string field theory technique to calculate the multi-string scattering amplitudes with an arbitrary number of external strings. We examine in detail the three-string vertex diagram and the effective four-string vertex diagrams generated perturbatively by the three-string vertex at tree level. In the zero-slope limit, the string scattering amplitudes are identified precisely as those of non-Abelian Yang-Mills gauge theory if the external states are chosen to be massless vector particles.

32 pages, 14 figures, new sections and references are added

References in corpus (4)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Factorization of Chiral String Amplitudes
• The Lauricella Functions and Exact String Scattering Amplitudes
• Deformation of the Cubic Open String Field Theory

Cited by in corpus (11)

• Gauge enhancement of super M-branes via parametrized stable homotopy theory
• String Scattering Amplitudes and Deformed Cubic String Field Theory
• Covariant Open String Field Theory on Multiple $Dp$-Branes
• Solving Lauricella String Scattering Amplitudes through Recurrence Relations
• Canonical Quantization of Massive Symmetric Rank-Two Tensor in String Theory
• Four-Gauge-Particle Scattering Amplitudes and Polyakov String Path Integral in the proper-time gauge
• Gravitational Scattering Amplitudes and Closed String Field Theory in the Proper-Time Gauge
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• NSR Open Super-string in the proper-time gauge I: Free Field Theory
• Witten's Cubic Open String Field Theory on multiple $Dp$-branes
• BRST Ghost-Vertex Operator in Witten's Cubic Open String Field Theory on Multiple $Dp$-branes