Topological aspects of fermions on hyperdiamond

DOI10.1063/1.4736835zbMath1280.81048arXiv1208.4262OpenAlexW2055590016MaRDI QIDQ2865503

O. Fassi-Fehri, Mosto Bousmina, El Hassan Saidi

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4262

zbMATH Keywords

quantum chromodynamicsDirac equationlattice field theorygrapheneelectronschiral symmetriesSU(2) theory

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) Anomalies in quantum field theory (81T50) Applications of Lie groups to the sciences; explicit representations (22E70) (Semi-) Fredholm operators; index theories (47A53) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Index theory for dynamical systems, Morse-Conley indices (37B30) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (3)

Lattice Chern-Simons model for FQHE ⋮ On the ℤ2 topological invariant ⋮ Twisted 3D $\mathcal {N}=4$N=4 supersymmetric YM on deformed $\mathbb {A}_{3}^{\ast }$A3* lattice

Cites Work

• Index theorem and overlap formalism with naive and minimally doubled fermions
• Anomalous quantum Hall effect of 4D lattice QCD in background fields
• Electronic properties and hidden symmetries of graphene
• Broken symmetries from minimally doubled fermions
• On the heat equation and the index theorem
• On flavor symmetry in lattice quantum chromodynamics
• Supersymmetry and the Atiyah–Singer index theorem. II. The scalar curvature factor in the Schrödinger equation
• Graphene, Lattice Field Theory and Symmetries
• Families index theory for Overlap lattice Dirac operator. I

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