Gravity and Form Scattering and Renormalisation of Gravity in Six and Eight Dimensions

Abstract

We calculate one-loop scattering amplitudes for gravitons and two-forms in dimensions greater than four. The string based Kawai-Lewellen-Tye relationships allow gravitons and two-forms to be treated in a unified manner. We use the results to determine the ultra-violet infinities present in these amplitudes and show how these determine the renormalised one-loop action in six and eight dimensions.

typo in first line eq 4.18 fixed ( st^2 -> s^2 t)

References in corpus (4)

• Multi-Parton Amplitudes in Gauge Theories
• Perturbative Quantum Gravity and its Relation to Gauge Theory
• Worldline formalism in a gravitational background
• Ultra-Violet Infinities and Counterterms in Higher Dimensional Yang-Mills

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• Twistor Space Structure of the Box Coefficients of N=1 One-loop Amplitudes
• Explicit Cancellation of Triangles in One-loop Gravity Amplitudes
• Augmented Recursion For One-loop Gravity Amplitudes
• Gravitino Interactions from Yang-Mills Theory
• Perturbative expansion of N<8 Supergravity
• Six-dimensional one-loop divergences in quantum gravity from the $\mathcal{N}=4$ spinning particle
• Loop Amplitudes in an Extended Gravity Theory
• Diagrammar in an Extended Theory of Gravity
• Perturbative Gravity and Twistor Space