Amplitudes in Noncritical Dimensions and Dimensional Regularization

Abstract

We study how the dimensional regularization works in the light-cone gauge string field theory. We show that it is not necessary to add a contact term to the string field theory action as a counter term in this regularization at least at the tree level. We also investigate the one-loop amplitudes of the bosonic theory in noncritical dimensions and show that they are modular invariant.

10 pages, 1 figure, A contribution to the proceedings of "SFT2010", held at YITP, Kyoto, Japan, October 18-22, 2010