  We investigate finite volume effects on the pion mass and the pion decay
constant with renormalization group (RG) methods in the framework of a
phenomenological model for QCD. An understanding of such effects is important
in order to interpret results from lattice QCD and extrapolate reliably from
finite lattice volumes to infinite volume.
  We consider the quark-meson-model in a finite Euclidean 3+1 dimensional
volume. In order to break chiral symmetry in the finite volume, we introduce a
small current quark mass. In the corresponding effective potential for the
meson fields, the chiral O(4)-symmetry is broken explicitly, and the sigma and
pion fields are treated individually. Using the proper-time renormalization
group, we derive renormalization group flow equations in the finite volume and
solve these equations in the approximation of a constant expectation value.
  We calculate the volume dependence of pion mass and pion decay constant and
compare our results with recent results from chiral perturbation theory in
finite volume.
