Vertex operators for physical states of bosonic string

Nergiz, Serdar

doi:10.1063/1.530703

Cited by 4 publications

(10 citation statements)

References 9 publications

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“…This will in turn confirm that the normalization of the functional representation of the coherent state (139), namely (144), is consistent with that obtained by operator methods, namely (140). Note furthermore, that the statement (161) is equivalent to the conformal field theory statement (28) that was derived by the ''one string in volume V dÀ1 '' requirement that leads to correctly normalized S-matrix elements.…”

Section: Consistency Checksupporting

confidence: 72%

“…Various prescriptions have been given for the construction of covariant vertex operators, e.g. the construction due to Del Giudice, Di Vecchia and Fubini (DDF) [126][127][128][129] but see also [130], the path integral construction based on symmetry [131][132][133] and factorization [134][135][136] and operator constructions [137,138] among others. A powerful method which applies in general backgrounds is given in [139], (although explicit results for high mass states are seemingly rather difficult to obtain in more general backgrounds, see also [140,141]).…”

Section: H Vertex Operator Constructionsmentioning

confidence: 99%

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String vertex operators and cosmic strings

Skliros

Hindmarsh

2011

Phys. Rev. D

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We construct complete sets of (open and closed string) covariant coherent state and mass eigenstate vertex operators in bosonic string theory. This construction can be used to study the evolution of fundamental cosmic strings as predicted by string theory, and is expected to serve as a self-contained prototype toy model on which realistic cosmic superstring vertex operators can be based. It is also expected to be useful for other applications where massive string vertex operators are of interest. We pay particular attention to all the normalization constants, so that these vertices lead directly to unitary S-matrix elements.

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Section: Consistency Checksupporting

confidence: 72%

Section: H Vertex Operator Constructionsmentioning

confidence: 99%

String vertex operators and cosmic strings

Skliros

Hindmarsh

2011

Phys. Rev. D

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“…For the low level states, the constraints are simple to solve, but they become increasingly cumbersome at higher levels, see e.g. [37][38][39][40]. Fortunately, there is a more systematic and physical approach: the DDF construction [41].…”

Section: Scattering Of Highly Excited Stringsmentioning

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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“…For the low level states, the constraints are simple to solve, but they become increasingly cumbersome at higher levels, see e.g. [35][36][37][38]. Fortunately, there is a more systematic and physical approach: the DDF construction [39].…”

Section: Scattering Of Highly Excited Stringsmentioning

confidence: 99%

“…37) and S n 1 ,n 2 (a function of q • ∂ m X) given in(3.43).Physically, the vertex operators are formed by starting with a tachyon of momentum p and scattering photons off of it (i.e. repeatedly taking the OPE with photon vertex operators) where the action of λ • A −m corresponds to a photon with polarization λ and momentum −mq where q • p = 1.…”

mentioning

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.

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Vertex operators for physical states of bosonic string

Cited by 4 publications

References 9 publications

String vertex operators and cosmic strings

String vertex operators and cosmic strings

Chaotic scattering of highly excited strings

Chaotic scattering of highly excited strings

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