(hep-th): Regularization-independent studies of nonperturbative field theory
A. W. Schreiber
Author(s): A. Kizilersu, A. W. Schreiber and A. G. Williams (University of
Adelaide)
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.
Paper: hep-th/0010161
Dated: Thu, 19 Oct 2000 08:11:58 GMT (113kb)
Comments: 12 pages, includes 5 postscript figures
Report-no: ADP-00-51/T431
URL: http://arXiv.org/abs/hep-th/0010161