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These notes describe how perturbative on-shell and off-shell string amplitudes can be computed using string field theory. Computational methods for approximating arbitrary amplitudes are discussed, and compared with standard world-sheet…

High Energy Physics - Theory · Physics 2016-11-23 Washington Taylor

In this paper, by defining off-shell amplitudes as off-shell CHY integrals, and redefining the longitudinal operator, we demonstrate that the differential operators which link on-shell amplitudes for a variety of theories together, also…

High Energy Physics - Theory · Physics 2026-05-05 Kang Zhou , Guo-Jun Zhou

It has been recently suggested that it is possible to calculate the effect of final state interactions in K -> pi pi amplitudes by applying dispersive methods to the amplitude with the kaon off-shell. We critically reexamine the procedure,…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Buechler , G. Colangelo , J. Kambor , F. Orellana

The quantum Batalian-Vilkovisky master action for closed string field theory consists of kinetic term and infinite number of interaction terms. The interaction strengths (coupling constants) are given by integrating the off-shell string…

High Energy Physics - Theory · Physics 2019-07-31 Seyed Faroogh Moosavian , Roji Pius

The closed topological vertex is the simplest ``off-strip'' case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams. By the diagrammatic method of topological vertex, open string amplitudes of topological string theory…

Mathematical Physics · Physics 2015-12-10 Kanehisa Takasaki , Toshio Nakatsu

We express one-loop string amplitudes involving both open and closed strings as sum over pure open string amplitudes. These findings generalize the analogous tree-level result to higher loops and extend the tree-level observation that in…

High Energy Physics - Theory · Physics 2022-02-10 S. Stieberger

The theory of relativistic strings is considered in frames of Hamiltonian formalism and Dirac's quantization procedure. A special gauge fixing condition is formulated, related with the world sheet of the string in Lorentz-invariant way. As…

High Energy Physics - Theory · Physics 2007-05-23 Igor Nikitin

Two-point tree-level amplitudes in bosonic closed string theory are described by a correlation function within the BRST formalism, which respects manifest Lorentz and conformal invariance. In the derivation of the two-point amplitudes, we…

High Energy Physics - Theory · Physics 2024-02-13 Isao Kishimoto , Shigenori Seki , Tomohiko Takahashi

We compute the disk amplitude of three closed strings in the pure spinor formalism. Among others, this amplitude probes tree-level gravitational interactions in the presence of Dp-branes. After disentangling holomorphic and anti-holomorphic…

High Energy Physics - Theory · Physics 2023-08-09 Andreas Bischof , Michael Haack , Stephan Stieberger

We present a generalization of the boundary state formalism for the bosonic string that allows us to calculate the overlap of the boundary state with arbitrary closed string states. We show that this generalization exactly reproduces…

High Energy Physics - Theory · Physics 2010-02-03 M. Laidlaw , G. W. Semenoff

In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in $\mathcal{N}=4$ SYM with arbitrary number of off-shell gluons or equivalently Wilson line operator insertions. We make a conjecture for…

High Energy Physics - Theory · Physics 2018-02-20 L. V. Bork , A. I. Onishchenko

Soft behaviour of closed string amplitudes involving dilatons, gravitons and anti-symmetric tensors, is studied in the framework of bosonic string theory. The leading double soft limit of gluons is analysed as well, starting from scattering…

High Energy Physics - Theory · Physics 2016-11-03 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

We show that it is possible to extend Moore's analysis of the classical scattering amplitudes of the bosonic string to those of the N=1 superstring. Using the bracket relations we are able to show that all possible amplitudes involving both…

High Energy Physics - Theory · Physics 2007-05-23 Jonathan D. Edwards

We study gauge invariant operators of open string field theory and find a precise correspondence with on-shell closed strings. We provide a detailed proof of the gauge invariance of the operators and a heuristic interpretation of their…

High Energy Physics - Theory · Physics 2010-02-03 Akikazu Hashimoto , N. Itzhaki

I report on recent advancements regarding calculations that require initial-state partons with non-vanishing transverse momentum, causing it to be space-like and thus off-shell.

High Energy Physics - Phenomenology · Physics 2017-11-01 A. van Hameren

Recent advances in non-critical string theory allow a unique continuation of critical Polyakov string amplitudes to off-shell momenta, while preserving conformal invariance. These continuations possess unusual, apparently stringy,…

High Energy Physics - Theory · Physics 2007-05-23 R. C. Myers , V. Periwal

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…

High Energy Physics - Theory · Physics 2018-01-17 Taejin Lee

We have used a conventional model for the $pp \rightarrow pp \pi^{0}$ reaction consisting of the Born term plus the $s$-wave rescattering term. As a novelty we have introduced the off shell dependence of the $\pi N$ $s$-wave isoscalar…

Nuclear Theory · Physics 2009-10-28 E. Hernandez , E. Oset

The multiloop amplitudes for open bosonic string in presence of a constant B-field are derived from first principles. The basic ingredients of the construction are the commutation relations for the string modes and the Reggeon vertex…

High Energy Physics - Theory · Physics 2015-06-25 Chong-Sun Chu , Rodolfo Russo

The tree-level amplitude of six massless open strings is computed using the pure spinor formalism. The OPE poles among integrated and unintegrated vertices can be efficiently organized according to the cohomology of pure spinor superspace.…

High Energy Physics - Theory · Physics 2015-03-17 Carlos R. Mafra , Oliver Schlotterer , Stephan Stieberger , Dimitrios Tsimpis