Zero Mode Divergence Problem in String Theory
arXiv:hep-th/9401013 · doi:10.1142/S0217732394001970
Abstract
For string theory, the perturbative -matrices are not well-defined due to a zero mode divergence. Although there exist formal procedures to make the integral convergent, their physical meanings are unclear. We describe a method to obtain finite -matrices physically to justify the formal schemes. The scheme uses asymptotic states by wave packets which fall faster than exponentials. It is shown that the scheme gives well-defined -matrices and justifies the formal shifted Virasoro-Shapiro amplitude for simple processes. The tree-level unitarity for these processes is also shown. We point out a problem in this scheme.
14 pages + 2 figures (included as a uufile), LaTeX file, NSF-ITP-93-157 and UTTG-33-93