  There are many applications in gauge theories where the usually employed
framework involving gauge-dependent Green's functions leads to considerable
problems. In order to overcome the difficulties invariably tied to gauge
dependence, we present a manifestly gauge-invariant approach. We propose a
generating functional of appropriately chosen gauge-invariant Green's functions
for the bosonic sector of the standard model. Since the corresponding external
sources emit one-particle states, these functions yield the same S-matrix
elements as those obtained in the usual framework. We evaluate the generating
functional for the bosonic sector of the standard model up to the one-loop
level and carry out its renormalization in the on-shell scheme. Explicit
results for some two-point functions are given. Gauge invariance is manifest at
any step of our calculation.
