Geometric Representation of Interacting Non-Relativistic Open Strings using Extended Objects
Abstract
Non-relativistic charged open strings coupled with Abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. The model consists of open-strings interacting through a Kalb-Ramond field in four dimensions. The geometric representation proposed uses lines and surfaces that can be interpreted as an extension of the picture of Faraday's lines of classical electromagnetism. This representation results to be consistent, provided the coupling constant (the "charge" of the string) is quantized. The Schr\"odinger equation in this representation is also presented.
Cite
@article{arxiv.1312.2158,
title = {Geometric Representation of Interacting Non-Relativistic Open Strings using Extended Objects},
author = {P. J. Arias and N. Bolivar and E. Fuenmayor and L. Leal},
journal= {arXiv preprint arXiv:1312.2158},
year = {2014}
}
Comments
19 pages, 2 figures. Preliminary results where presented in the "V Congress of the Venezuela Physical Society", Punto Fijo, Venezuela, already reported in arXiv:hep-th/0512115