Reduced Dirac-Kähler lattice fermion action

Robert Edwards, David Ritchie, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    It is shown that the lattice Dirac-Kähler action is reducible under a chiral-like transformation. This provides a new lattice fermion action for spinors that have 2d-1 components (instead of 2d), with the property that, in the free case, each component satisfies the lattice euclidean Klein-Gordon equation. Reflection positivity is satisfied on the lattice, thus assuring a (positive) physical Hilbert space. In d = 4 dimensions the spinors have 8 components, and the correct physical chiral anomaly in the continuum limit. The action is suitable for QCD quarks which, in the continuum limit, are described by Dirac spinors that occur in flavor doublets.

    Original languageEnglish (US)
    Pages (from-to)961-990
    Number of pages30
    JournalNuclear Physics, Section B
    Volume296
    Issue number4
    DOIs
    StatePublished - Jan 25 1988

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    fermions
    continuums
    Klein-Gordon equation
    Hilbert space
    quantum chromodynamics
    quarks
    anomalies

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Reduced Dirac-Kähler lattice fermion action. / Edwards, Robert; Ritchie, David; Zwanziger, Daniel.

    In: Nuclear Physics, Section B, Vol. 296, No. 4, 25.01.1988, p. 961-990.

    Research output: Contribution to journalArticle

    Edwards, R, Ritchie, D & Zwanziger, D 1988, 'Reduced Dirac-Kähler lattice fermion action', Nuclear Physics, Section B, vol. 296, no. 4, pp. 961-990. https://doi.org/10.1016/0550-3213(88)90406-3
    Edwards, Robert ; Ritchie, David ; Zwanziger, Daniel. / Reduced Dirac-Kähler lattice fermion action. In: Nuclear Physics, Section B. 1988 ; Vol. 296, No. 4. pp. 961-990.
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