Light-Cone Gauge Superstring Field Theory and Dimensional Regularization

TL;DR

This paper introduces a dimensional regularization method for light-cone gauge superstring field theory, successfully handling divergences in tree amplitudes and reproducing known results without counterterms.

Contribution

It presents a novel dimensional regularization scheme for superstring field theory that effectively manages divergences at interaction points.

Findings

Regularizes divergences in tree-level superstring amplitudes.

Reproduces first-quantized results for four-point NS-NS closed string amplitudes.

No counterterms needed in the regularized amplitudes.

Abstract

We propose a dimensional regularization scheme in the light-cone gauge NSR superstring field theory to regularize the divergences caused by the colliding supercurrents inserted at the interaction points. We study the tree amplitudes and show that our scheme actually regularize the divergences. We examine the four-point amplitudes for the NS-NS closed strings and find that the results in the first-quantized theory are reproduced without any counterterms.