Digitizing the Neveu-Schwarz Model on the Lightcone Worldsheet
arXiv:1005.2924 · doi:10.1103/PhysRevD.82.065009
Abstract
The purpose of this article is to extend the lightcone worldsheet lattice description of string theory to include the Neveu-Schwarz model. We model each component of the fermionic worldsheet field by a critical Ising model. We show that a simple choice of boundary conditions for the Ising variables leads to the half integer modes required by the model. We identify the G-parity operation within the Ising model and formulate the procedure for projecting onto the even G-parity sector. We construct the lattice version of the three open string vertex, with the necessary operator insertion at the interaction point. We sketch a formalism for summing planar open string multi-loop amplitudes, and we discuss prospects for numerically summing them. If successful, the methods described here could provide an alternative to lattice gauge theory for computations in large N QCD.
23 pages, 7 figures
References in corpus (5)
- Scattering of Glue by Glue on the Light-cone Worldsheet I: Helicity Non-conserving Amplitudes
- Scattering of Glue by Glue on the Light-cone Worldsheet II: Helicity Conserving Amplitudes
- Subcritical String and Large N QCD
- Summing Planar Open String Loops on a Worldsheet Lattice with Dirichlet and Neumann Boundaries
- Nonabelian D-branes, Open Strings, and Gauge Theory