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Prog. Theor. Phys. Vol. 114 No. 3 (2005) pp. 631-641

[ Full Text PDF : FREE ACCESS (141K) ]

Genuine Symmetry of a Staggered Fermion

Katsumi Itoh,1,* Mitsuhiro Kato,2,** Michika Murata,3,*** Hideyuki Sawanaka3,**** and Hiroto So4,*****

1Department of Education, Niigata University, Niigata 950-2181, Japan
2Institute of Physics, University of Tokyo, Tokyo 153-8902, Japan
3Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan
4Department of Physics, Niigata University, Niigata 950-2181, Japan

(Received April 29, 2005)

Abstract:

We present a new formulation of a staggered fermion on a D-dimensional lattice based on the SO(2D) Clifford algebra, which is naturally contained in the action. The action of a massless staggered fermion is invariant under discrete rotations and SO(2D) chiral and other discrete transformations. From the transformation properties of the fermion, we find two local meson operators (one scalar and one pseudoscalar), in addition to two standard meson operators.


URL : http://ptp.ipap.jp/link?PTP/114/631/
DOI : 10.1143/PTP.114.631


*E-mail: itoh@ed.niigata-u.ac.jp
**E-mail: kato@hep1.c.u-tokyo.ac.jp
***E-mail: michika@muse.sc.niigata-u.ac.jp
****E-mail: hide@muse.sc.niigata-u.ac.jp
*****E-mail: so@muse.sc.niigata-u.ac.jp

[ Full Text PDF : FREE ACCESS (141K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 117 No. 4 (2007) pp. 715-728 :
    Rotational Symmetry and a Light Mode in Two-Dimensional Staggered Fermions
    Morio Hatakeyama, Hideyuki Sawanaka and Hiroto So

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