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2017

Varying dilaton as a tracer of classical string interactions

Dodelson, Matthew, Silverstein, Eva, Torroba, Gonzalo

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We analyze tree-level string amplitudes in a linear dilaton background, motivated by its use as a gauge-invariant tracer of string interactions in scattering experiments and its genericity among simple perturbative string theory limits.

A simple case is given by a lightlike dependence for the dilaton.
The zero mode of the embedding coordinate in the direction of dilaton variation requires special care.
Employing Gaussian wave packets and a well-defined modification of the dilaton profile far from the dominant interaction region, we obtain finite results which explicitly reproduce the interaction timescales expected from joining and splitting interactions involving oscillating strings in simple string scattering processes.

Varying dilaton as a tracer of classical string interactions · Around

Built on

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D. J. Gross and P. F. Mende, “String Theory Beyond the Planck Scale,” Nucl. Phys. B 303
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M. E. Peskin and D. V. Schroeder, “An Introduction to quantum field theory,” Reading, USA: Addison-Wesley (1995) 842 p
1995
Earlier work this paper cites.

Similar

J. Polchinski, “String theory. Vol. 1: An introduction to the bosonic string,” Cambridge, UK: Univ. Pr. (1998) 402 p
1998
Cited alongside, same era.
N. Seiberg, L. Susskind, and N. Toumbas, “Space/Time Non-Commutativity and Causality,” JHEP 0006
2000
Cited alongside, same era.
M. Dodelson and E. Silverstein, “Long-Range Nonlocality in Six-Point String Scattering: simulation of black hole infallers”, arxiv:1703.10147 [hep-th]
Original
Cited in the paper.
X. Dong, B. Kang, E. Silverstein, G. Torroba, work in progress
Cited in the paper.
C. T. Chan and W. M. Chen, “Vertex Operators and Scattering Amplitudes of the Bosonic Open String Theory in the Linear Dilaton Background,” arXiv:0907.5472 [hep-th]
Original
Cited in the paper.
M. Dodelson and E. Silverstein, “String-theoretic breakdown of effective field theory near black hole horizons,” arXiv:1504.05536 [hep-th]
Original
Cited in the paper.
M. Dodelson and E. Silverstein, “Longitudinal nonlocality in the string S-matrix,” arXiv:1504.05537 [hep-th]
Original
Cited in the paper.

Then

O. Aharony, A. Giveon and D. Kutasov, “LSZ in LST,” Nucl. Phys. B 691
2004
Later among the works it cites.
E. Witten, “The Feynman i ϵ i\epsilon in String Theory,” JHEP 1504
Original
2015
Later among the works it cites.

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