Solution to the fermion doubling problem for supersymmetric theories on the transverse lattice

Journal Article · Fri Oct 15 00:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.087701· OSTI ID:20705552

Harada, Motomichi; Pinsky, Stephen ^[1]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

Species doubling is a problem that infects most numerical methods that use a spatial lattice. An understanding of species doubling can be found in the Nielsen-Ninomiya theorem which gives a set of conditions that require species doubling. The transverse lattice approach to solving field theories, which has at least one spatial lattice, fails one of the conditions of the Nielsen-Ninomiya theorem nevertheless one still finds species doubling for the standard Lagrangian formulation of the transverse lattice. We will show that the Supersymmetric Discrete Light Cone Quantization (SDLCQ) formulation of the transverse lattice does not have species doubling.

• OSTI ID: 20705552
• Journal Information: Physical Review. D, Particles Fields, Vol. 70, Issue 8; Other Information: DOI: 10.1103/PhysRevD.70.087701; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
LATTICE FIELD THEORY
LIGHT CONE
MATHEMATICAL SOLUTIONS
QUANTIZATION
SUPERSYMMETRY