  The quantum decay of a metastable vacuum is exponentially suppressed by a
tunneling action that can be calculated in the semi-classical approximation as
the Euclidean action of a bounce that interpolates between the false and true
phases. For multi-field potentials, finding the bounce is non-trivial due to
its peculiar boundary conditions and the fact that the action at the bounce is
not a minimum but merely a saddle point. Recently, an alternative tunneling
action has been proposed that does not rely on Euclidean bounces and reproduces
the standard result at its minimum. Here we generalize this new approach for
several scalar fields and demonstrate how its use can significantly improve the
numerical calculation of tunneling actions for multi-field potentials.
