Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

In string theory, it\'s possible to collide a number of strings only in the asym

ID: 1381008 • Letter: I

Question

In string theory, it's possible to collide a number of strings only in the asymptotic past, and get a final asymptotic state which contains a D0-brane, an anti D0-brane, and a number of strings. If space is compactified, the D0-brane can be replaced by some wrapped D-brane particle, or a stable bound state of a number of them.

How is this handled using string worldsheets only? It's true if the string coupling is weak, many strings have to collide to produce a pair of D-branes, but the string coupling is always nonzero, even if tiny. Does this mean a worldsheet formalism only is incomplete? It's true this is a nonperturbative effect, but does this mean perturbation theory is incomplete?

Explanation / Answer

You must be careful about the ordering of the limits.

Perturbation theory is usually "effective and accurate enough" for all questions in which the coupling is weak. However, the actual description of perturbation theory is that it is a systematic expansion around g=0. For g=0, the number of strings and/or their energy needed to produce a Dirichlet brane-antibrane pair

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote