A gauge covariant approximation to QED
Abstract
We examine the DysonSchwinger equation for the fermion propagator in quenched QED in three and four dimension based on spectral representation with vertex ansatz which preserves WardTakahashi Identity.An appropriate renormalization within dispersion integral smoothes the threshold behaviour of the fermion self energy in three dimension.Thus we avoid the infrared singurality in three dimension.The behaviour of the fermion propagator in three dimension near the threshold is then found to be similar to the four dimensional one.There exisit analytic solutions for arbitrary gauges and the full propagators are expressed in terms of hypergeometric function in four dimension.There is a possibility of dynamical chiral symmetry breaking in four dimension with vanishing bare mass.
 Publication:

arXiv eprints
 Pub Date:
 February 2002
 arXiv:
 arXiv:hepth/0202020
 Bibcode:
 2002hep.th....2020H
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20pages Standard Latex, section 4 is modified