# What is the logic of regarding perturbative renormalizability is not a fundamental requirement?

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I read a statement in Becker and Becker's String Theory and M-Theory page 2. After pointing out the non-renormalizablity of GR by the dimension of gravitational constant, it is said:

Some physicists believe that perturbative renormalizability is not a fundamental requirement and try to quantize pure general relativity despite its nonrenormalizability. Loop quantum gravity is an example of this approach. Whatever one thinks of the logic, it is fair to say that despite a considerable amount of eort such attempts have not yet been very fruitful.

I am curious, what is the logic behind "perturbative renormalizability is not a fundamental requirement"?

This post imported from StackExchange Physics at 2014-06-03 17:04 (UCT), posted by SE-user user26143
retagged Jun 3, 2014
Presumably that the non-renormalisability is an artefact of the perturbation technique being used, and that a non-perturbative treatment will produce finite results.

This post imported from StackExchange Physics at 2014-06-03 17:04 (UCT), posted by SE-user John Rennie
They're probably referring to the fact that one can view a given theory (such as Einstein gravity) as a low-energy effective theory in which case renormalizability isn't so relevant: en.wikipedia.org/wiki/Effective_field_theory

This post imported from StackExchange Physics at 2014-06-03 17:04 (UCT), posted by SE-user joshphysics
Then the theory goes to high energy scale, the possible other irrelevant contributions will increase. The leading term starts lose the prediction power....

This post imported from StackExchange Physics at 2014-06-03 17:04 (UCT), posted by SE-user user26143
A specific case of John's comment - they may be referring to asymptotic safety, also know as non-perturbative renormalizability: en.wikipedia.org/wiki/Asymptotic_safety_in_quantum_gravity

This post imported from StackExchange Physics at 2014-06-03 17:04 (UCT), posted by SE-user DJBunk

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