A recent proposal for a background-independent open-string field theory is studied in detail for a class of backgrounds that correspond to general quadratic boundary interactions on the world sheet. A short distance cutoff is introduced to formulate the theory with a finite number of local and potentially unrenormalizable boundary couplings. It is shown that renormalization of the boundary couplings makes both the world-sheet partition function and the string field action finite and cutoff independent, although the resulting string field action has an unpalatable dependence on the leading unrenormalizable coupling.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)