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The main objective of this thesis is to present a new analytical frameworkfor low-energy QCD that goes under the name of massive, or "screened",perturbative expansion. The massive perturbative expansion is motivated by thephenomenon of dynamical mass generation, by which the gluons acquire a mass ofthe order of the QCD scale $\Lambda_{\text{QCD}}$ in the limit of vanishingmomentum. It is a simple extension of ordinary perturbation theory thatconsists in a shift of the expansion point of the Yang-Mills perturbativeseries with the aim of treating the transverse gluons as massive already attree-level, while leaving the total action of the theory unchanged. The newframework will be formulated in the context of pure Yang-Mills theory, wherethe lattice data is readily available for comparison and the perturbativeresults have been perfected by enforcing the gauge invariance of the analyticalstructure of the gluon propagator.

Perturbation theory of non-perturbative Yang-Mills theory: a massive expansion from first principles