Proof of gravity and Yang-Mills amplitude relations

Bjerrum-Bohr, N. E. J.; Damgaard, Poul H.; Feng, Bo; Søndergaard, Thomas

doi:10.1007/jhep09(2010)067

Cited by 95 publications

(124 citation statements)

References 42 publications

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“…When restricted to the case of graviton external states the field theory limit of this expression reduces to the form derived in [3,22]. As seen from the above derivation, expression (2.15) is actually independent of the value of j.…”

Section: Jhep01(2011)001mentioning

confidence: 84%

“…The S α ′ version of these properties can be seen to hold by the same kind of arguments used for the field theory S kernel in [2,3,22], and will therefore not be repeated here.…”

Section: Jhep01(2011)001 3 Properties Of the Momentum Kernelmentioning

confidence: 99%

“…We have normalized this expression so that in the field theory limit α ′ → 0 the kernel S α ′ reduces to the field theory kernel S of [2,3,22]. As indicated, we will distinguish between these two momentum kernels by putting a subscript α ′ on the one of string theory.…”

Section: Jhep01(2011)001mentioning

confidence: 99%

“…The explicit n-point formula that was conjectured in ref. [4] has been proven as one particular case [3].…”

Section: Introductionmentioning

confidence: 98%

“…In the field theory limit, these relations show that tree-level amplitudes of gravitons can be expressed as products of color-ordered Yang-Mills amplitudes. Recently, these KLT-relations between gravity amplitudes and Yang-Mills amplitudes have been proven in a series of different but equivalent forms using only concepts from relativistic quantum field theory [2,3]. The explicit n-point formula that was conjectured in ref.…”

Section: Introductionmentioning

confidence: 99%

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The momentum kernel of gauge and gravity theories

Bjerrum-Bohr¹,

Damgaard²,

Søndergaard³

et al. 2011

J. High Energ. Phys.

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275

376

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Abstract:We derive an explicit formula for factorizing an n-point closed string amplitude into open string amplitudes. Our results are phrased in terms of a momentum kernel which in the limit of infinite string tension reduces to the corresponding field theory kernel. The same momentum kernel encodes the monodromy relations which lead to the minimal basis of color-ordered amplitudes in Yang-Mills theory. There are interesting consequences of the momentum kernel pertaining to soft limits of amplitudes. We also comment on surprising links between gravity and certain combinations of kinematic and color factors in gauge theory.

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Section: Jhep01(2011)001mentioning

confidence: 84%

“…The S α ′ version of these properties can be seen to hold by the same kind of arguments used for the field theory S kernel in [2,3,22], and will therefore not be repeated here.…”

Section: Jhep01(2011)001 3 Properties Of the Momentum Kernelmentioning

confidence: 99%

Section: Jhep01(2011)001mentioning

confidence: 99%

“…The explicit n-point formula that was conjectured in ref. [4] has been proven as one particular case [3].…”

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The momentum kernel of gauge and gravity theories

Bjerrum-Bohr¹,

Damgaard²,

Søndergaard³

et al. 2011

J. High Energ. Phys.

Self Cite

275

376

View full text Add to dashboard Cite

show abstract

Scattering amplitudes in open superstring theory

Schlotterer

2011

Fortschritte der Physik

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This review is concerned with scattering amplitudes in open superstring theories. In particular, we introduce two different formalisms to compute tree level amplitudes – the Ramond Neveu Schwarz‐ (RNS‐) and the Pure Spinor (PS‐) formalism. The RNS approach proves to be flexible in describing compactifications from ten to four flat spacetime dimensions. We solve the technical problems due to the underlying interacting conformal field theory on the worldsheet. This is exploited to extract phenomenologically relevant scattering amplitudes of gluons and quarks as well as production‐ and decay rates of massive vibration modes which have already been identified as virtual exchange particles at the massless level. In case of a TeV string scale, string specific signatures in parton collisions might be observed at the LHC experiment in the near future and constitute the first experimental evidence for string theory. These statements apply to a wide class of string vacua and therefore bypass the so‐called landscape problem of string theory. The PS formalism allows for a manifestly supersymmetric treatment of scattering amplitudes in ten spacetime dimensions with sixteen supercharges. We introduce a family of superfields which arises in tree amplitudes of massless open string states and can be naturally identified with diagrams made of cubic vertices. We firstly achieve a compact superspace representation of multiparticle field theory amplitudes and moreover express the complete n point superstring amplitude as a minimal linear combination of partial field theory amplitudes and hypergeometric functions. The latter carry the stringy effects and are analyzed from different perspectives.

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Aspects of Scattering Amplitudes and Moduli Space Localization

Mizera¹

2020

Springer Theses

174

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Proof of gravity and Yang-Mills amplitude relations

Abstract: Using BCFW on-shell recursion techniques, we prove a sequence of explicit n-point Kawai-Lewellen-Tye relations between gravity and Yang-Mills amplitudes at tree level.

Cited by 95 publications

References 42 publications

The momentum kernel of gauge and gravity theories

The momentum kernel of gauge and gravity theories

Scattering amplitudes in open superstring theory

Aspects of Scattering Amplitudes and Moduli Space Localization

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