Multiloop Noncommutative Open String Theory and their QFT limit
摘要
The multiloop amplitudes for open bosonic string in presence of a constant B-field are derived from first principles. The basic ingredients of the construction are the commutation relations for the string modes and the Reggeon vertex describing the interaction among three generic string states. The modifications due to the presence of the B-field affect non--trivially only the zero modes. This makes it possible to write in a simple and elegant way the general expression for multiloop string amplitudes in presence of a constant B-field. The field theory limit of these string amplitudes is also considered. We show that it reproduces exactly the Feynman diagrams of noncommutative field theories. Issues of UV/IR are briefly discussed.
引用
@article{arxiv.hep-th/0102164,
title = {Multiloop Noncommutative Open String Theory and their QFT limit},
author = {Chong-Sun Chu and Rodolfo Russo},
journal= {arXiv preprint arXiv:hep-th/0102164},
year = {2015}
}
备注
based on talks and lectures presented at Summer Workshop on Branes (KIAS, Seoul, June 2000); RTN-workshop "The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions" (Berlin, Germany, October 2000); Euroconference "Brane New World and Noncommutative Geometry" (Villa Gualino, Torino, Italy, October 2000). v2, more discussions on the relation between string coulplings, references added