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{\Large \textbf{Academic Purpose} \par}
The use of perturbation theory in quantum field theory (QFT) has been wildly successful to the point of developing the most rigorously tested theory of physics, the Standard Model. However, perturbation theory relies on the ability to modify known solutions by introducing small perturbations — thus reaching new solutions. These perturbations are proportional to the interaction strength (between the constituents) of the system. When the system's interaction strength is large, there is no small quantity with which to perturb the known solution by. And so the system is deemed non-perturbative — methods other than perturbation theory are necessary to explore the properties of the system.
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