D-brane recoil

TL;DR

This paper demonstrates that logarithmic operators in D-brane backgrounds cause infrared divergences in open string loops, which can be canceled by adjusting the closed string background to account for D-brane recoil with constant velocity.

Contribution

It introduces the role of logarithmic operators in D-brane recoil and shows how to cancel divergences by modifying the closed string background.

Findings

Logarithmic operators lead to infrared divergences in open string amplitudes.

Recoil effects can be modeled by operators corresponding to D-brane motion.

Divergences are canceled by background changes representing D-brane recoil.

Abstract

It is shown that there are logarithmic operators in D-brane backgrounds that lead to infrared divergences in open string loop amplitudes. These divergences can be cancelled by changing the closed string background by operators that correspond to the D-brane moving with constant velocity after some instant in time, since it is precisely such operators that give rise to the appropriate ultraviolet divergences in the closed string channel.