Massive minimal subtraction scheme and "partial-$p$" in anisotropic   Lifshitz space(time)s
  We introduce the "partial-$p$" operation in a massive Euclidean $\lambda\phi^{4}$ scalar field theory describing anisotropic Lifshitz critical behavior. We then develop a minimal subtraction a la $Bogoliubov-Parasyuk-Hepp-Zimmermann$ renormalization scheme. As an application we compute critical exponents diagrammatically using the orthogonal approximation at least up to two-loop order and show their equivalence with other renormalization techniques. We discuss possible applications of the method in other field-theoretic contexts. 
Emanuel V. Souza, Paulo R. S. Carvalho and Marcelo M. Leite
hep-th cond-mat.stat-mech gr-qc hep-ph math-ph math.MP