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 Schrödinger equation in this representation is also presented.

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

References in corpus (2)

• Interacting Particles and Strings in Path and Surface Representations
• Loop representation of charged particles interacting with Maxwell and Chern-Simons fields