Arbitrary Four String Scattering at High Energy and Fixed Angle

Nicolas Moeller; Peter West

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Arbitrary Four String Scattering at High Energy and Fixed Angle

Nicolas Moeller, Peter West

High Energy Physics - Theory · Submitted 15 Jul 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We propose, and present arguments for, a form for the high energy multi-string vertex at all loops; in particular we give a path integral derivation of this vertex.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.97 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We calculate, using the group theoretic approach to string theory, the tree and one loop scattering of four open and closed arbitrary bosonic string states. In the limit of high energy, but fixed angle, the multi-string vertex at tree and one loop levels that we find takes a very simple form. We propose, and present arguments for, a form for the high energy multi-string vertex at all loops; in particular we give a path integral derivation of this vertex. Our results agree with those of Gross and Mende for tachyon scattering amplitudes, but those for any other string scattering are substantially different from that discussed in reference [5]. We also develop some of the technology used in the group theoretic method to compute loop corrections.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We calculate, using the group theoretic approach to string theory, the tree and one loop scattering of four open and closed arbitrary bosonic string states.	contribution 0.97	0.96	0.07	asserted 1.00
s1	In the limit of high energy, but fixed angle, the multi-string vertex at tree and one loop levels that we find takes a very simple form.	result 1.00	0.95	0.26	asserted 1.00
s2	We propose, and present arguments for, a form for the high energy multi-string vertex at all loops; in particular we give a path integral derivation of this vertex.	contribution 0.95	0.96	0.44	asserted 0.59
s3	Our results agree with those of Gross and Mende for tachyon scattering amplitudes, but those for any other string scattering are substantially different from that discussed in reference [5].	result 0.88	0.73	0.32	asserted 1.00
s4	We also develop some of the technology used in the group theoretic method to compute loop corrections.	contribution 0.92	0.95	0.03	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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P abstract

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The paper

Original abstract

We calculate, using the group theoretic approach to string theory, the tree and one loop scattering of four open and closed arbitrary bosonic string states. In the limit of high energy, but fixed angle, the multi-string vertex at tree and one loop levels that we find takes a very simple form. We propose, and present arguments for, a form for the high energy multi-string vertex at all loops; in particular we give a path integral derivation of this vertex. Our results agree with those of Gross and Mende for tachyon scattering amplitudes, but those for any other string scattering are substantially different from that discussed in reference [5]. We also develop some of the technology used in the group theoretic method to compute loop corrections.

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

String Lessons for Higher-Spin Interactions
hep-th 2010-06 conditional novelty 6.0 of 10

A single generating function reproduces every three-point amplitude of the open bosonic string's leading Regge trajectory, and its massless limit organizes all cubic higher-spin couplings under one differential operator.
Linear relations among 4-point functions in the high energy limit of string theory
hep-th 2006-04 conditional novelty 6.0 of 10

Next-to-leading-order four-point amplitudes in high-energy bosonic open string theory are uniquely proportional to each other, and a simple factorization rule gives them at all mass levels.
More on Quantum Chiral Higher Spin Gravity
hep-th 2020-02 conditional novelty 5.0 of 10

One-loop two-, three- and four-point amplitudes in flat-space Chiral Higher Spin Gravity are UV-finite, and the theory admits U(N), SO(N) and USp(N) Yang-Mills gaugings.
Asymptotic Charges at Null Infinity in Any Dimension
hep-th 2017-12 conditional novelty 5.0 of 10

Suitable falloff conditions on massless fields yield finite asymptotic charges at null infinity in every dimension D at least 3, with explicit charge formulas derived for spin 1, 2, and 3 and proposed for general spin.
On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
hep-th 2010-09 conditional novelty 5.0 of 10

Off-shell cubic and quartic higher-spin vertices are constructed via BRST, and a BCFW consistency test is argued to fail for two candidate couplings, suggesting missing non-local states.

Show 1 more citing papers

Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
hep-th 2006-09 conditional novelty 5.0 of 10

A BRST/oscillator method yields the constraint equations for the cubic higher-spin vertex in flat and AdS space, with only the first flat-space equation solved explicitly.

How the literature uses it

7 arXiv papers cite this in 15 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 9 sentences without a confident label

Builds on it 1 paper

The main purpose of this paper is to proceed further along the lines of [ref] : as we shall see, some simplifications are possible, which lead to relatively handy expressions for all three–point and four–point amplitudes for the symmetric tensors of the first Regge trajectory.

String Lessons for Higher-Spin Interactions · Introduction · 0.97

Compares with it 2 papers

One can actually consider it as an OSFT counterpart of the high energy limit of string interactions obtained in [ref] .

Interacting Higher Spins and the High Energy Limit of the Bosonic String · Introduction · 0.96
A similar result was previously obtained with a different technique, albeit not in a manifestly Möbius invariant form, by Moeller and West [ref] , who also extended it to higher loops.

Higher Spins and String Interactions · Introduction · 0.99

Cites it as background 3 papers

While the low energy limit of string theory is fairly well understood the properties of its high energy limit [ref] – [ref] (see also [ref] ) still impose a series of questions.

Interacting Higher Spins and the High Energy Limit of the Bosonic String · Introduction · 1.00
In principle, these results are closely related to the vertex that was discussed in various forms, starting from the early years of String Theory [ref] , and was then widely elaborated upon by a number of authors in the eighties [ref] .

String Lessons for Higher-Spin Interactions · Introduction · 0.93
(See also [ref] and [ref] for work on various aspects of high energy limit in string theory.)

Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions · Introduction · 0.95

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