Non-perturbative Methods

Non-perturbative methods are techniques used in physics and mathematics to analyze complex systems where traditional approximation approaches, like small-parameter expansions, fail. Instead of relying on approximate calculations, these methods directly tackle the full problem, capturing phenomena such as strong interactions, phase transitions, or confinement that perturbative methods might miss. They often involve numerical simulations or specialized analytical tools, enabling scientists to understand behaviors that are inherently non-linear or deeply interconnected, providing a more complete picture of the system's fundamental properties.