Instanton modifications of the bound state singularity in the Schwinger Model

Details Instanton modifications of the bound state singularity in the Schwinger Model Instanton modifications of the bound state singularity in the Schwinger Model

2007-01-23

arxiv.org/abs/hep-th/0701222v3

Phys.Rev.D75:085005,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, REVTEX

Scientific paper

10.1103/PhysRevD.75.085005

We consider the quark-antiquark Green's function in the Schwinger Model with instanton contributions taken into account. Thanks to the fact that this function may analytically be found, we draw out singular terms, which arise due to the formation of the bound state in the theory -- the massive Schwinger boson. The principal term has a pole character. The residue in this pole contains contributions from various instanton sectors: $0,\pm 1, \pm 2$. It is shown, that the nonzero ones change the factorizability property. The formula for the residue is compared to the Bethe-Salpeter wave function found as a field amplitude. Next, it is demonstrated, that apart from polar part, there appears in the Green's function also the weak branch point singularity of the logarithmic and dilogarithmic nature. These results are not in variance with the universally adopted $S$-matrix factorization.

Affiliated with

Also associated with

No associations

Rating

Instanton modifications of the bound state singularity in the Schwinger Model 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 Instanton modifications of the bound state singularity in the Schwinger Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Instanton modifications of the bound state singularity in the Schwinger Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-603367