Dispersion relation and spectral range of Karsten-Wilczek and Borici-Creutz fermions

Dispersion relation and spectral range of Karsten-Wilczek and Borici-Creutz fermions

We investigate some properties of Karsten-Wilczek and Borici-Creutz fermions, which are the best known varieties in the class of minimally doubled lattice fermion actions. Our focus is on the dispersion relation and the distribution of eigenvalues in the free-field theory. We consider the situation...

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Veröffentlicht in:Physical review. D 2020-07, Vol.102 (1), p.1, Article 014516
Hauptverfasser: Duerr, Stephan, Weber, Johannes H.
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy & Astrophysics
Dispersion
Eigenvalues
Fermions
Field theory
Physical Sciences
Physics
Physics, Particles & Fields
Science & Technology
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Zusammenfassung:We investigate some properties of Karsten-Wilczek and Borici-Creutz fermions, which are the best known varieties in the class of minimally doubled lattice fermion actions. Our focus is on the dispersion relation and the distribution of eigenvalues in the free-field theory. We consider the situation in two and four spacetime dimensions, and we discuss how properties vary as a function of the Wilson-like lifting parameter r.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.102.014516