Highly excited strings I: Generating function

Skliros, Dimitri; Copeland, Edmund J.; Saffin, Paul M.

doi:10.1016/j.nuclphysb.2016.12.022

Cited by 16 publications

(11 citation statements)

References 173 publications

(484 reference statements)

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“…We are adding photon of momentum mq. Maybe write defi for A m 15 Useful discussions of the DDF operators also include [100,101]. See also [102][103][104][105][106][107][108] for further application a di↵erent approach to excited string scattering, see [109].…”

Section: Level-onementioning

confidence: 99%

Chaotic scattering of highly excited strings

Gross

Rosenhaus

2021

J. High Energ. Phys.

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Motivated by the desire to understand chaos in the S-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string theory since its early days, scattering of excited strings has been far less studied. Recent results on black hole chaos, combined with the correspondence principle between black holes and strings, suggest that the amplitudes have a rich structure. We review the procedure by which an excited string is formed by repeatedly scattering photons off of an initial tachyon (the DDF formalism). We compute the scattering amplitude of one arbitrary excited string and any number of tachyons in bosonic string theory. At high energies and high mass excited state these amplitudes are determined by a saddle-point in the integration over the positions of the string vertex operators on the sphere (or the upper half plane), thus yielding a generalization of the “scattering equations”. We find a compact expression for the amplitude of an excited string decaying into two tachyons, and study its properties for a generic excited string. We find the amplitude is highly erratic as a function of both the precise excited string state and of the tachyon scattering angle relative to its polarization, a sign of chaos.

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Section: Level-onementioning

confidence: 99%

Chaotic scattering of highly excited strings

Gross

Rosenhaus

2021

J. High Energ. Phys.

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“…As mentioned above, our results or their generalization to closed strings may find applications in cosmic strings [74,75,76] and BH dynamics [49,50,51]. Moreover, coherent states can be used as an (over)complete set to built higher order perturbative string amplitudes by sewing procedures [77,78,73]. Let us finally stress that the DDF approach is not limited to coherent states but it can profitably be used to investigate the dynamics of arbitrary BRST invariant states in any string theory.…”

Section: Introductionmentioning

confidence: 84%

“…We conclude with a summary of the results and some very preliminary considerations on how to extend our analysis to closed (bosonic) strings. Relying on the time-honored DDF approach, that has the virtue of combining the nice properties of both the light-cone and covariant approaches, we have reviewed the construction of arbitrarily massive higher-spin physical (BRST invariant) states for open bosonic strings, closely following [74,75,76] and [78,73]. In particular we have shown how construct coherent states for the case of a single D25-brane.…”

Section: Summary Conclusion and Outlookmentioning

confidence: 99%

DDF operators, open string coherent states and their scattering amplitudes

Bianchi

Firrotta

2020

Nuclear Physics B

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We study interactions of string coherent states in the DDF (after Di Vecchia, Del Giudice, Fubini) formalism. For simplicity we focus on open bosonic strings. After reviewing basic properties of DDF operators and of excited open strings, we present some classical profiles and show how they become more and more compact as the number of harmonics increases at fixed mass. We then compute various three-and four-point amplitudes with insertions of coherent states, tachyons and vector bosons on the boundary of the disk relying on a convenient choice of reference null momenta. We find that the amplitudes exponentiate in a rather subtle and interesting way. We then study the high-energy fixedangle limit, dominated by a saddle-point when coherent states are present, and the soft behaviour as the momentum of a vector boson is taken to zero. We briefly comment on generalisation of our analysis to multiple intersecting and magnetised D-branes and to closed strings.

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“…11 Useful discussions of the DDF operators also include [93,94]. See also [95][96][97][98][99][100][101] for further applications. we discussed the scattering of tachyons -the lightest string states.…”

Section: Level-onementioning

confidence: 99%

Chaotic scattering of highly excited strings

Gross,

Rosenhaus

2021

Preprint

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Motivated by the desire to understand chaos in the S-matrix of string theory, we study tree level scattering amplitudes involving highly excited strings. While the amplitudes for scattering of light strings have been a hallmark of string theory since its early days, scattering of excited strings has been far less studied. Recent results on black hole chaos, combined with the correspondence principle between black holes and strings, suggest that the amplitudes have a rich structure. We review the procedure by which an excited string is formed by repeatedly scattering photons off of an initial tachyon (the DDF formalism). We compute the scattering amplitude of one arbitrary excited string and any number of tachyons in bosonic string theory. At high energies and high mass excited state these amplitudes are determined by a saddle-point in the integration over the positions of the string vertex operators on the sphere (or the upper half plane), thus yielding a generalization of the "scattering equations". We find a compact expression for the amplitude of an excited string decaying into two tachyons, and study its properties for a generic excited string.We find the amplitude is highly erratic as a function of both the precise excited string state and of the tachyon scattering angle relative to its polarization, a sign of chaos.

show abstract

Highly excited strings I: Generating function

Cited by 16 publications

References 173 publications

Chaotic scattering of highly excited strings

Chaotic scattering of highly excited strings

DDF operators, open string coherent states and their scattering amplitudes

Chaotic scattering of highly excited strings

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