Quantum Field Theory in the perturbative picture is known to miss certain non-perturbative solutions such as solitons. It is believed that this missing of important ingredients could be why the perturbative analysis is divergent. Inclusion of such effects could make the theory free of infinities, which is why a non-perturbative analysis of QFT is so much interesting.

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Renormalization Group Methods and its Applications
Jillur Rahman
January 09, 2018