Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adv. In a perturbative manner
 adv. With regard to perturbation
Etymologies
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Examples

Abstract: Theories of lowenergy Lorentz violation by a fixednorm “aether” vector field with twoderivative kinetic terms have a globally bounded Hamiltonian and are perturbatively stable only if the vector is timelike and the kinetic term in the action takes the form of a sigma model.

One is to try to reinvent string theory a fresh, completely nonperturbatively.

Count Iblis, the point is that if you have a renormalizable theory you can to some degree expect to be able to define it perturbatively, since order by order nothing undefined happens.

That does not mean there is none, only that critical strings are under much better control, especially when considered nonperturbatively.

Ruthless and violent and described as “perturbatively unstable” he quickly establishes his reputation.

The question which do and which do not, and whether one can do it perturbatively or not, are very interesting open issues, not a lot is known about them currently. best,

No, I was simply saying that to my knowledge N = 4 had not been nonperturbatively defined.

It's silly because a lattice formulation is just one among infinitely many ways to define physics of a field theory nonperturbatively.

Marcos Mariňo is going to remodel the topological string, both perturbatively and nonperturbatively.

The second boundary comes from the need, for a wellbehaved theory, to be "computable": a too large value of the Higgs mass makes the Higgs coupling "blow up" at large energies, such that the theory loses the property of being perturbatively calculable.
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