We illustrate a basic framework for analytic computations of Feynman graphs using the Moyal star formulation of string field theory. We present efficient methods of computation based on (a) the monoid algebra in noncommutative space and (b) the conventional Feynman rules in Fourier space. The methods apply equally well to perturbative string states or nonperturbative string states involving D-branes. The ghost sector is formulated using Moyal products with fermionic (b,c) ghosts. We also provide a short account on how the purely cubic theory and/or vaccum string field theory proposals may receive some clarification of their midpoint structures in our regularized framework.
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Univ Torino, Dipartimento Fis, Via Pietro Giuria 1, I-10125 Turin, Italy
INFN Sez Torino, Via Pietro Giuria 1, I-10125 Turin, Italy
Arnold Regge Ctr, Via Pietro Giuria 1, I-10125 Turin, ItalyUniv Torino, Dipartimento Fis, Via Pietro Giuria 1, I-10125 Turin, Italy
Angelantonj, Carlo
Antoniadis, Ignatios
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Sorbonne Univ, CNRS, LPTHE, Lab Phys Theor & Hautes Energies, 4 Pl Jussieu, F-75005 Paris, France
Stockholm Univ, Nordita, Hannes Alfvens Vag 12, S-10691 Stockholm, Sweden
KTH Royal Inst Technol, Hannes Alfvens Vag 12, S-10691 Stockholm, SwedenUniv Torino, Dipartimento Fis, Via Pietro Giuria 1, I-10125 Turin, Italy
Antoniadis, Ignatios
Florakis, Ioannis
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Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England
Univ Ioannina, Dept Phys, Ioannina 45110, GreeceUniv Torino, Dipartimento Fis, Via Pietro Giuria 1, I-10125 Turin, Italy
Florakis, Ioannis
Jiang, Hongliang
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Queen Mary Univ London, Dept Phys & Astron, Ctr Theoret Phys, Mile End Rd, London E1 4NS, EnglandUniv Torino, Dipartimento Fis, Via Pietro Giuria 1, I-10125 Turin, Italy