I am interested in studying the classical solutions to the Bosonic string in flat 3+1 dim. spacetime by having them rendered a moving picture on a computer. This is partly for fun, and partly to develop an intuition for their kinematical behavior.
But, I'm not sure where/how to start.
Should I start from the Nambu-Goto Action or the Polyakov Action? And, should I use the light-cone gauge or the covariant gauge? Of course, whatever my choice, I should get the same results, but I want to know the choice that is most convenient to obtain solutions that can be visualized.
Finally, what interesting initial-values should I use? I would like to investigate the motion of the string doing all sorts things. Any suggestions here?
Eventually I hope to animate the classical scattering of two strings, if possible (I'm not too sure if classical strings interact...).