Improved Off-Shell Scattering Amplitudes in String Field Theory and New Computational Methods

Abstract

We report on new results in Witten's cubic string field theory for the off-shell factor in the 4-tachyon amplitude that was not fully obtained explicitly before. This is achieved by completing the derivation of the Veneziano formula in the Moyal star formulation of Witten's string field theory (MSFT). We also demonstrate detailed agreement of MSFT with a number of on-shell and off-shell computations in other approaches to Witten's string field theory. We extend the techniques of computation in MSFT, and show that the j=0 representation of SL(2,R) generated by the Virasoro operators $L_0,L_{\pm 1}$ is a key structure in practical computations for generating numbers. We provide more insight into the Moyal structure that simplifies string field theory, and develop techniques that could be applied more generally, including nonperturbative processes.

40 pages, 2 figures, LaTeX

References in corpus (13)

• Perturbative diagrams in string field theory
• Virasoro operators in the continuous basis of string field theory
• On Continuous Moyal Product Structure in String Field Theory
• Continuous Half-String Representation of String Field Theory
• Moyal Formulation of Witten's Star Product in the Fermionic Ghost Sector
• Fermionic Ghosts in Moyal String Field Theory
• MSFT : Moyal Star Formulation of String Field Theory
• Solving Witten's string field theory using the butterfly state
• String Amplitudes from Moyal String Field Theory
• On spectral density of Neumann matrices
• A fresh look at midpoint singularities in the algebra of string fields
• Witten's Vertex Made Simple
• Analytic Study of Nonperturbative Solutions in Open String Field Theory

Cited by in corpus (6)

• Analytical Solutions of Open String Field Theory
• A solution to the 4-tachyon off-shell amplitude in cubic string field theory
• Is String Interaction the Origin of Quantum Mechanics?
• Inflation in String Field Theory
• Off mass shell dual amplitude with Mandelstam analyticity
• SYM anomalous dimension from open string engineered curvature