Living Reviews in Relativity

"Quantum Gravity in Everyday Life:
General Relativity as an Effective Field Theory"
Cliff P. Burgess  

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1 Introduction
1.1 Against the split brain
1.2 Identifying where the problems lie
1.3 A road map
2 Effective Field Theories
2.1 The utility of low-energy approximations
2.2 A toy example
2.3 The toy model revisited
2.4 Lessons learned
2.5 Predictiveness and power counting
2.6 The effective Lagrangian logic
2.7 The meaning of renormalizability
3 Low-Energy Quantum Gravity
3.1 General relativity as an effective theory
3.2 Power counting
3.3 Effective field theory in curved space
4 Explicit Quantum Calculations
4.1 Non-relativistic point masses in three spatial dimensions
4.2 Co-dimension two and cosmic strings
5 Conclusions
6 Acknowledgements
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