However, these statements are not correct.įeynman properly quantized general relativity in the early 1960's ( Feynman, 1963), and the formalism was soon put on a solid footing by DeWitt ( DeWitt, 1967). It is understandable that some of the pioneers may have thought in this way, as some of our quantum methods are awkward when dealing with general relativity. If you go back to early references, you will find many statements saying that general relativity and quantum mechanics are incompatible, that the combination of general relativity and quantum field theory produces a meaningless theory. The problem of quantum gravity is not what we once thought it was. This review discusses effective field theory and its application to general relativity. The perturbative treatment of quantum General Relativity behaves as an effective field theory, and well defined quantum corrections can be calculated. When done properly, the results encode the quantum corrections appropriate to that energy. A full quantum field theory treatment is applied. 3 Some low energy theorems of quantum gravityĪn Effective Field Theory is one which uses only the active degrees of freedom available at some energy.2.1 How to do valid quantum corrections in gravity. ![]() 2 General Relativity as an Effective Field Theory.1.4 The rules of effective field theory.1.3 An example of an effective field theory.1.2 What is effective field theory and how does it work?.
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