The Ladder Approximation in QED_2

Details The Ladder Approximation in QED_2 The Ladder Approximation in QED_2

1996-02-23

arxiv.org/abs/hep-th/9602130v1

Phys.Lett. B329 (1994) 233-240

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/0370-2693(94)90766-8

We study the Schwinger-Dyson equation for the fermion self-energy in massless and massive $QED_2$, in the ladder approximation. When the fermion is massless (and the photon massless or massive), we check the reliability of this approximation by comparing its solutions with the exact ones. They agree only when the photon is massless. For a massive fermion and massless photon, we show that there is no consistent solution at all, the infrared divergences introduced by the approximation forbidding even the trivial solution. When both fermion and photon are massive, we find a non-perturbative (extra) fermion mass generation (which survives in the limit when the bare mass of the fermion tends to zero). We argue that, in this case, the ladder approximation will provide reliable results if the bare masses of the fields are large compared with the (dimensionful) coupling constant.

Affiliated with

Also associated with

No associations

Rating

The Ladder Approximation in QED_2 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Ladder Approximation in QED_2, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Ladder Approximation in QED_2 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-557561