Infinities within graviton scattering amplitudes

Dunbar, David C.; Norridge, Paul S.

doi:10.1088/0264-9381/14/2/009

Cited by 91 publications

(116 citation statements)

References 63 publications

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“…We deduce that 4) using that q = p 1 + p 2 = 2 − 1 = −p 3 − p 4 and 1 · q = −s/2. This allows us to express the one-loop cut as a sum of integrals with numerator N…”

Section: The One-loop Correction To Coulomb Potentialmentioning

confidence: 73%

“…Evaluating these individually confirms not only the total result, but also the result of each of the separate diagrams. 4 The advantage of doing the diagrams by the unitarity approach is that one does not have to worry about symmetry factors between Feynman graphs, it is automatically taken care of by the cut.…”

Section: Comparison With the Feynman Graph Approachmentioning

confidence: 99%

“…[1,2]). Such methods have so far been less frequently applied to general relativity [3][4][5], and quantum corrections to gravitational systems with massive matter have not been studied in this framework at all. However, such techniques are well-suited for effective field theory considerations in low energy quantum gravity.…”

Section: Introductionmentioning

confidence: 99%

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On-shell techniques and universal results in quantum gravity

Bjerrum-Bohr¹,

Donoghue

Vanhove

2014

J. High Energ. Phys.

209

222

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Abstract:We compute the leading post-Newtonian and quantum corrections to the Coulomb and Newtonian potentials using the full modern arsenal of on-shell techniques; we employ spinor-helicity variables everywhere, use the Kawai-Lewellen-Tye (KLT) relations to derive gravity amplitudes from gauge theory and use unitarity methods to extract the terms needed at one-loop order. We stress that our results are universal and thus will hold in any quantum theory of gravity with the same low-energy degrees of freedom as we are considering. Previous results for the corrections to the same potentials, derived historically using Feynman graphs, are verified explicitly, but our approach presents a huge simplification, since starting points for the computations are compact and tedious index contractions and various complicated integral reductions are eliminated from the onset, streamlining the derivations. We also analyze the spin dependence of the results using the KLT factorization, and show how the spinless corrections in the framework are easily seen to be independent of the interacting matter considered.

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“…We deduce that 4) using that q = p 1 + p 2 = 2 − 1 = −p 3 − p 4 and 1 · q = −s/2. This allows us to express the one-loop cut as a sum of integrals with numerator N…”

Section: The One-loop Correction To Coulomb Potentialmentioning

confidence: 73%

Section: Comparison With the Feynman Graph Approachmentioning

confidence: 99%

See 1 more Smart Citation

On-shell techniques and universal results in quantum gravity

Bjerrum-Bohr¹,

Donoghue

Vanhove

2014

J. High Energ. Phys.

209

222

View full text Add to dashboard Cite

show abstract

“…For the matter multiplets [31] there are in fact no IR singular terms in the amplitude, so the singular terms in the individual integral functions cancel. This gives enough information to fix the coefficients of the one-and two-mass triangles in terms of the box coefficients.…”

Section: Ir Consistency and Choice Of Integral Function Basismentioning

confidence: 99%

Perturbative expansion ofN<8Supergravity

2011

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We characterise the one-loop amplitudes for N = 6 and N = 4 supergravity in four dimensions. For N = 6 we find that the one-loop n-point amplitudes can be expanded in terms of scalar box and triangle functions only. This simplification is consistent with a loop momentum power count of n − 3, which we would interpret as being n + 4 for gravity with a further −7 from the N = 6 superalgebra. For N = 4 we find that the amplitude is consistent with a loop momentum power count of n, which we would interpret as being n + 4 for gravity with a further −4 from the N = 4 superalgebra. Specifically the N = 4 amplitudes contain non-cut-constructible rational terms.

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“…This may be contrasted with the case of gravity: a pure graviton amplitude has infrared divergences of the form [59] M tree n n i =j…”

Section: Absence Of Loop Correctionsmentioning

confidence: 99%

Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory

Dixon¹

1998

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By exploiting relations between gravity and gauge theories, we present two infinite sequences of one-loop n-graviton scattering amplitudes: the 'maximally helicity-violating' amplitudes in N = 8 supergravity, and the 'all-plus' helicity amplitudes in gravity with any minimally coupled massless matter content. The all-plus amplitudes correspond to self-dual field configurations and vanish in supersymmetric theories. We make use of the tree-level Kawai-Lewellen-Tye (KLT) relations between open and closed string theory amplitudes, which in the low-energy limit imply relations between gravity and gauge theory tree amplitudes. For n ≤ 6, we determine the all-plus amplitudes explicitly from their unitarity cuts. The KLT relations, applied to the cuts, allow us to extend to gravity a previously found 'dimension-shifting' relation between (the cuts of) the all-plus amplitudes in gauge theory and the maximally helicity-violating amplitudes in N = 4 super-Yang-Mills theory. The gravitational version of the relation lets us determine the n ≤ 6 N = 8 supergravity amplitudes from the all-plus gravity amplitudes. We infer the two series of amplitudes for all n from their soft and collinear properties, which can also be derived from gauge theory using the KLT relations.

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Infinities within graviton scattering amplitudes

Cited by 91 publications

References 63 publications

On-shell techniques and universal results in quantum gravity

On-shell techniques and universal results in quantum gravity

Perturbative expansion ofN<8Supergravity

Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory

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