Digitizing the NeveuSchwarz model on the lightcone worldsheet
Abstract
The purpose of this article is to extend the lightcone worldsheet lattice description of string theory to include the NeveuSchwarz 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 halfinteger modes required by the model. We identify the Gparity operation within the Ising model and formulate the procedure for projecting onto the even Gparity 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 multiloop 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.
 Authors:

 Institute for Fundamental Theory, Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)
 Publication Date:
 OSTI Identifier:
 21421192
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 82; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.82.065009; (c) 2010 American Institute of Physics; Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AMPLITUDES; BOUNDARY CONDITIONS; CALCULATION METHODS; FERMIONS; G PARITY; GAUGE INVARIANCE; INTERACTIONS; ISING MODEL; LIGHT CONE; QUANTUM CHROMODYNAMICS; STRING MODELS; STRING THEORY; COMPOSITE MODELS; CRYSTAL MODELS; EXTENDED PARTICLE MODEL; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MTHEORY; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; QUARK MODEL; SPACETIME
Citation Formats
Thorn, Charles B. Digitizing the NeveuSchwarz model on the lightcone worldsheet. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.82.065009.
Thorn, Charles B. Digitizing the NeveuSchwarz model on the lightcone worldsheet. United States. https://doi.org/10.1103/PHYSREVD.82.065009
Thorn, Charles B. Wed .
"Digitizing the NeveuSchwarz model on the lightcone worldsheet". United States. https://doi.org/10.1103/PHYSREVD.82.065009.
@article{osti_21421192,
title = {Digitizing the NeveuSchwarz model on the lightcone worldsheet},
author = {Thorn, Charles B},
abstractNote = {The purpose of this article is to extend the lightcone worldsheet lattice description of string theory to include the NeveuSchwarz 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 halfinteger modes required by the model. We identify the Gparity operation within the Ising model and formulate the procedure for projecting onto the even Gparity 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 multiloop 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.},
doi = {10.1103/PHYSREVD.82.065009},
url = {https://www.osti.gov/biblio/21421192},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 6,
volume = 82,
place = {United States},
year = {2010},
month = {9}
}