Digitizing the Neveu-Schwarz model on the lightcone worldsheet

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.065009· OSTI ID:21421192

Thorn, Charles B ^[1]

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1. Institute for Fundamental Theory, Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)

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.

• OSTI ID: 21421192
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.065009; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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