Fast Blow Up in the (4+1)-dimensional Yang Mills Model and the(2+1)-dimensional S^2 Sigma Model

Details Fast Blow Up in the (4+1)-dimensional Yang Mills Model and the(2+1)-dimensional S^2 Sigma Model Fast Blow Up in the (4+1)-dimensional Yang Mills Model and the(2+1)-dimensional S^2 Sigma Model

1999-09-13

arxiv.org/abs/math-ph/9909015v1

Physics

Mathematical Physics

32 pages, 9 figures

Scientific paper

We study singularity formation in spherically symmetric solitons of the (4+1) dimensional Yang Mills model and the charge two sector of the (2+1) dimensional S^2 sigma model, also known as $\IC P^1$ wave maps, in the adiabatic limit. These two models are very similar. Studies are performed numerically on radially symmetric solutions using an iterative finite differencing scheme. Predictions for the evolution toward a singularity are made from an effective Lagrangian and confirmed numerically. In both models a characterization of the shape of a time slice f(r,T) with T fixed is provided, and ultimately yields an new approximate solutions to the differential equations that becomes exact in the adiabatic limit.

Affiliated with

Also associated with

No associations

Rating

Fast Blow Up in the (4+1)-dimensional Yang Mills Model and the(2+1)-dimensional S^2 Sigma 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 Fast Blow Up in the (4+1)-dimensional Yang Mills Model and the(2+1)-dimensional S^2 Sigma Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fast Blow Up in the (4+1)-dimensional Yang Mills Model and the(2+1)-dimensional S^2 Sigma Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-464848