"Perturbative Quantum Gravity
and its Relation to Gauge Theory"
by
Zvi Bern
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Abstract
1
Introduction
2
Outline of the Traditional Approach to Perturbative Quantum Gravity
2.1
Overview of gravity Feynman rules
2.2
Divergences in quantum gravity
2.3
Gravity and gauge theory Feynman rules
3
The Kawai–Lewellen–Tye Relations
3.1
The KLT relations in string theory
3.2
The KLT relations in field theory
3.3
Tree-level applications
3.4
Soft and collinear properties of gravity amplitudes from gauge theory
4
The Einstein–Hilbert Lagrangian and Gauge Theory
5
From Trees to Loops
6
Gravity Loop Amplitudes from Gauge Theory
6.1
One-loop four-point example
6.2
Arbitrary numbers of legs at one loop
7
Divergence Properties of Maximal Supergravity
7.1
One-loop cut construction
7.2
Higher loops
7.3
Divergence properties of
N
= 8 supergravity
8
Conclusions
9
Acknowledgments
References
Footnotes
Figures
