New approximate solution of the Ginsparg-Wilson equation - tests in 2-d

Authors
Gattringer, C Hip, I
Citation
C. Gattringer et I. Hip, New approximate solution of the Ginsparg-Wilson equation - tests in 2-d, PHYS LETT B, 480(1-2), 2000, pp. 112-118
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
480
Issue
1-2
Year of publication
2000
Pages
112 - 118
Database
ISI
SICI code
0370-2693(20000504)480:1-2<112:NASOTG>2.0.ZU;2-M
Abstract
A new method for finding approximate solutions of the Ginsparg-Wilson equat ion is tested in 2-d. The Dirac operator is first constructed and then used in a dynamical simulation of the 2-flavor Schwinger model. We find a very small mass of the pi-particle implying almost chirally symmetric fermions. The generalization of our method to 4-d is straightforward. (C) 2000 Publis hed by Elsevier Science B.V. All rights reserved.