Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-12-18
Phys.Rev. D62 (2000) 036002
Physics
High Energy Physics
High Energy Physics - Phenomenology
29 pages, Revtex. v2: Discussions improved, conclusions unchanged. Some references added. v3: Published version
Scientific paper
10.1103/PhysRevD.62.036002
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.
Nyffeler Andreas
Schenk Andreas
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