Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-01-17
Physics
High Energy Physics
High Energy Physics - Phenomenology
RevTeX, 29 pages, 9 figures
Scientific paper
We consider procedures through which an ultraviolet cut-off regularization scheme can be modified to reproduce the same results for nonperturbative renormalized Green's functions as obtained from a dimensional regularization scheme. These issues are considered within the Dyson-Schwinger equation framework, where ultraviolet cut-off regularization can lead to explicit violations of gauge invariance. As a specific illustration, we consider the electron self-energy in quenched QED_4 in both schemes and establish those procedures for which the UV cut-off scheme can be expected to lead to the dimensional regularization results. We also compare results from precise numerical studies using the two types of regularization.
Kizilersu Ayse
Sizer Tom
Williams Anthony G.
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