
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 
Treelevel 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 
Oneloop fourpoint example 

6.2 
Arbitrary
numbers of legs at one loop 
7 
Divergence Properties of Maximal
Supergravity 

7.1 
Oneloop cut construction 

7.2 
Higher loops 

7.3 
Divergence
properties of N = 8 supergravity 
8 
Conclusions 
9 
Acknowledgments 

References 

Footnotes 

Figures 