---

Prog. Theor. Phys. Vol. 102 No. 1 (1999) pp. 141-147

Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator

Hiroshi Suzuki ^*)

Department of Physics, Ibaraki University, Mito 310-8512, Japan

(Received December 8, 1998)

Abstract:

The chiral Jacobian, which is defined with Neuberger's overlap Dirac operator of the lattice fermion, is explicitly evaluated in the continuum limit without expanding it in the gauge coupling constant. Our calculational scheme is simple and straightforward. We determine a coefficient of the chiral anomaly for general values of the mass parameter and the Wilson parameter of the overlap Dirac operator.

URL : http://ptp.ipap.jp/link?PTP/102/141/
DOI : 10.1143/PTP.102.141

^*)E-mail: hsuzuki@mito.ipc.ibaraki.ac.jp

[ Full Text PDF : FREE ACCESS (107K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. P. Hasenfratz, V. Laliena and F. Niedermayer, Phys. Lett. B427 (1998), 125.
2. M. Lüscher, Phys. Lett. B428 (1998), 342.
3. P. H. Ginsparg and K. G. Wilson, Phys. Rev. D25 (1982), 2649[APS].
4. H. Neuberger, Phys. Lett. B417 (1998), 141.
5. R. Narayanan and H. Neuberger, Nucl. Phys. B412 (1994), 574.
6. Y. Kikukawa and A. Yamada, Phys. Lett. B448 (1999), 265.
7. K. Fujikawa, Nucl. Phys. B546 (1999), 480.
8. K. Haga, H. Igarashi, K. Okuyama and H. Suzuki, Phys. Rev. D55 (1997), 5325[APS].
9. E. Seiler and I. Stamatescu, Phys. Rev. D25 (1982), 2177[APS].
10. S. Aoki and I. Ichinose, Nucl. Phys. B272 (1986), 281.
    S. Aoki, Phys. Rev. D35 (1987), 1435[APS].
11. L. H. Karsten and J. Smit, Nucl. Phys. B183 (1981), 103.
12. S. Randjbar-Daemi and J. Strathdee, Phys. Lett. B402 (1997), 134.
13. T.-W. Chiu, hep-lat/9810002[e-print arXiv].
14. D. H. Adams, hep-lat/9812003[e-print arXiv].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 107 No. 1 (2002) pp. 163-175 :

   A Numerical Study of Spectral Flows of the Hermitian Wilson-Dirac Operator and the Index Theorem in Abelian Gauge Theories on Finite Lattices

   Takanori Fujiwara

2. Progress of Theoretical Physics Vol. 109 No. 6 (2003) pp. 1017-1032 :

   Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus

   Satoshi Iso and Keiichi Nagao

3. Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 197-215 :

   Overlap Lattice Fermion in a Gravitational Field

   Masashi Hayakawa, Hiroto So and Hiroshi Suzuki

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.