Analytic regularization and minimal subtraction for ϕ44 with flow equations

In this paper we show how results on the behaviour of analytically regularized Green functions which traditionally required detailed inspection of general Feynman diagrams, can be obtained straightforwardly, when combining this regularization with flow equations. In particular we prove the existence of the analytic minimal subtraction scheme. For simplicity we restrict to massive Euclidean φ{symbol}₄⁴.