The image of self-intersecting QCD strings in four dimensions

We numerically examine the self-dual solutions of self-intersecting strings immersed in four dimension. By fixing a frame of reference we are able to show that self-intersecting open strings admit world sheets topologies that are able to support monopole/anti-monopole structures. Furthermore we iden tify the topologies that can lead to q-(q) over bar production and annihila tion and numerically estimate the production rare for different instantons. Pie find an upper bound on the production rate and use that to estimate th e string tension mu. By examining the pullback of ys onto the string world sheet we show that regions of chiral symmetry breaking can exist where the string world sheet self-intersects with itself lending credence to the rela tionship of self-intersecting strings and instantons. We are also able to s how that for torus knots, the intersection number nu = 4(p - q) which valid ates an earlier conjectures. A program written in MAPLE is supplied to exhi bit the animations of the torus knots in four dimensions. These animations are located at the website http://www-hep.physics.uiowa.edu/similar to bacu s/research.html "Animation Control Panel". (C) 2001 Elsevier Science B.V. A ll rights reserved.