Genuine Symmetry of a Staggered Fermion | Zendy

Katsumi Itoh | Zendy; Mitsuhiro Kato | Zendy; Mitsuru Murata | Zendy; Hideyuki Sawanaka | Zendy; Hiroto So | Zendy

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Genuine Symmetry of a Staggered Fermion

Author(s) -

Katsumi Itoh,

Mitsuhiro Kato,

Mitsuru Murata,

Hideyuki Sawanaka,

Hiroto So

Publication year - 2005

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.114.631

Subject(s) - physics , fermion , massless particle , pseudoscalar , scalar (mathematics) , invariant (physics) , lattice (music) , clifford algebra , mathematical physics , meson , fermion doubling , particle physics , dirac fermion , algebra over a field , pure mathematics , geometry , mathematics , acoustics

We present a new formulation of the staggered fermion on the D-dimensionallattice based on the SO(2D) Clifford algebra, which is naturally present in theaction. The action of the massless staggered fermion is invariant under thediscrete rotation and the SO(2D) chiral and other discrete transformations. From transformation properties of the fermion, we find two local mesonoperators (one scalar and one pseudoscalar) in addition to two standard mesonoperators.Comment: 11 pages, 1 figur

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