Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions
نویسنده
چکیده
Some time ago Takahashi derived so called transverse relations relating Green’s functions of different orders to complement the well-knownWard-Green-Takahashi identities of gauge theories by considering wedge rather than inner products. These transverse relations have the potential to determine the full fermion-boson vertex in terms of the renormalization functions of the fermion propagator. Following an indicative proof by He and Yu we explicitly check this relation to oneloop order in d-dimensions, with d = 4+ ǫ. We find that an additional piece must be included in the evaluation of the Wilson line component for this relation to hold in 4-dimensions.
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ar X iv : h ep - p h / 05 11 25 4 v 2 3 0 Ju n 20 06 Checking the transverse Ward - Takahashi relation at one loop order in 4 - dimensions
Some time ago Takahashi derived so called transverse relations relating Green's functions of different orders to complement the well-known Ward-Green-Takahashi identities of gauge theories by considering wedge rather than inner products. These transverse relations have the potential to determine the full fermion-boson vertex in terms of the renormalization functions of the fermion propagator. H...
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تاریخ انتشار 2008