Regularization-independent studies of nonperturbative field theory

Details Regularization-independent studies of nonperturbative field theory Regularization-independent studies of nonperturbative field theory

2000-10-19

arxiv.org/abs/hep-th/0010161v1

Phys.Lett.B499:261-269,2001

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, includes 5 postscript figures

Scientific paper

10.1016/S0370-2693(01)00022-3

We propose a regularization-independent method for studying a renormalizable field theory nonperturbatively through its Dyson-Schwinger equations. Using QED_4 as an example, we show how the coupled equations determining the nonperturbative fermion and photon propagators can be written entirely in terms of renormalized quantities, which renders the equations manifestly finite in a regularization-independent manner. As an illustration of the technique, we apply it to a study of the fermion propagator in quenched QED_4 with the Curtis-Pennington electron-photon vertex. At large momenta the mass function, and hence the anomalous mass dimension gamma_m(alpha), is calculated analytically and we find excellent agreement with previous work. Finally, we show that for the CP vertex the perturbation expansion of gamma_m(alpha) has a finite radius of convergence.

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