Abstract
The Debye mass is calculated to order g6 at weak coupling of massless ϕ4-theory. Debye mass gets contributions from the hard and soft momentum scale. We use dimensional reduction and the effective field theory to distinct two scales of order T and gT. Three dimensional effective theory is used to calculate contributions of soft scale whereas hard scale is evaluated by applying a perturbation theory, in power series of g. For the Debye mass to g6-order corrections, we calculate the hard part to g6 order and the soft part through mass parameter to g6 and calculate four loop self energy diagrams. The convergence of series and loop expansion are discussed.
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