LATTICE CALCULATIONS ON THE SPECTRUM OF DIRAC AND DIRAC–KÄHLER OPERATORS

DOI10.1142/S0217751X08038470zbMath1192.81121arXivhep-lat/0612015OpenAlexW1968423460MaRDI QIDQ3532334

Jorge L. López-López, Rigoberto Vera Mendoza, Rafael G. Campos

Publication date: 3 November 2008

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-lat/0612015

zbMATH Keywords

Dirac operatortrigonometric polynomialsspectral problemdifferentiation matricesDirac-Kähler operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Inequalities for trigonometric functions and polynomials (26D05) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (2)

A Fractional Partial Differential Equation for Theta Functions ⋮ A discrete model of the Dirac-Kähler equation

Cites Work

• Fermions without spinors
• Dirac equation and the Ivanenko-Landau-Kähler equation
• Free fermionic propagators on a lattice
• Dirac--Kähler equation
• Extended supersymmetries and the Dirac operator
• From the Dirac operator to Wess-Zumino models on spatial lattices
• The Dirac operator on space forms of positive curvature
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• Aliasing modes in the lattice Schwinger model
• DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE
• Supersymmetry and the Atiyah–Singer index theorem. I. Peierls brackets, Green’s functions, and a proof of the index theorem via Gaussian superdeterminants
• Supersymmetry and the Atiyah-Singer index theorem

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