Abstract
We describe a method to extract an effective Lagrangian description for open bosonic strings, at zero transcendentality. The method relies on a particular formulation of its scattering amplitudes derived from color-kinematics duality. More precisely, starting from a (DF)2 + YM quantum field theory, we integrate out all the massive degrees of freedom to generate an expansion in the inverse string tension α′. We explicitly compute the Lagrangian terms through \( \mathcal{O} \)(α′4), and target the sector of operators proportional to F4 to all orders in α′.
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Acknowledgments
It is a pleasure to thank Oliver Schlotterer for his encouragement during this project, as well as collaboration during its early stages. We also thank Henrik Johansson for helpful support and giving feedback on the draft, and Fei Teng for discussions. AG is supported by the Black Hole Initiative and the Society of Fellows at Harvard University, as well as the Department of Energy under grant DE-SC0007870. LG is supported in part by the Knut and Alice Wallenberg Foundation under grants KAW 2018.0116 (From Scattering Amplitudes to Gravitational Waves) and KAW 2018.0162 (Exploring a Web of Gravitational Theories through Gauge-Theory Methods).
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Garozzo, L.M., Guevara, A. Effective interactions of the open bosonic string via field theory. J. High Energ. Phys. 2024, 2 (2024). https://doi.org/10.1007/JHEP07(2024)002
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DOI: https://doi.org/10.1007/JHEP07(2024)002