Infinities within graviton scattering amplitudes

Abstract

We present unitarity as a method for determining the infinities present in graviton scattering amplitudes. The infinities are a combination of IR and UV. By understanding the soft singularities we may extract the UV infinities and relate these to counter-terms in the effective action. As an demonstration of this method we rederive the UV infinities present at one-loop when gravity is coupled to matter.

revised version

References in corpus (13)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Multi-Parton Amplitudes in Gauge Theories
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• One-Loop Corrections to Five-Gluon Amplitudes
• Massive Loop Amplitudes from Unitarity
• Factorization in One-Loop Gauge Theory
• On the Calculation of Effective Actions by String Methods
• String-Based Methods in Perturbative Gravity
• Calculation of Graviton Scattering Amplitudes using String-Based Methods
• Singular terms of helicity amplitudes at one-loop in QCD and the soft limit of the cross sections of multi-parton processes
• One Loop Multiphoton Helicity Amplitudes
• Equivalence of Dimensional Reduction and Dimensional Regularisation

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