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Title: Digitizing the Neveu-Schwarz model on the lightcone worldsheet

Abstract

The purpose of this article is to extend the light-cone 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 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:
 [1]
  1. 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 0556-2821
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; M-THEORY; PARTICLE MODELS; PARTICLE PROPERTIES; QUANTUM FIELD THEORY; QUARK MODEL; SPACE-TIME

Citation Formats

Thorn, Charles B. Digitizing the Neveu-Schwarz model on the lightcone worldsheet. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.82.065009.
Thorn, Charles B. Digitizing the Neveu-Schwarz model on the lightcone worldsheet. United States. https://doi.org/10.1103/PHYSREVD.82.065009
Thorn, Charles B. Wed . "Digitizing the Neveu-Schwarz model on the lightcone worldsheet". United States. https://doi.org/10.1103/PHYSREVD.82.065009.
@article{osti_21421192,
title = {Digitizing the Neveu-Schwarz model on the lightcone worldsheet},
author = {Thorn, Charles B},
abstractNote = {The purpose of this article is to extend the light-cone 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 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 = {0556-2821},
number = 6,
volume = 82,
place = {United States},
year = {2010},
month = {9}
}