New solutions to the Ginsparg-Wilson equation
arXiv:0802.0170 · doi:10.1016/j.nuclphysb.2008.05.004
Abstract
The overlap operator is just the simplest of a class of Dirac operators with an exact chiral symmetry. I demonstrate how a general class of chiral Dirac operators can be constructed, show that they have no fermion doublers and that they are all exponentially local, and test my conclusions numerically for a few examples. However, since these operators are more expensive than the overlap operator, it is unlikely that they will be useful in practical simulations.
14 pages, 3 figures; v2 typos corrected, references and small additional section added; v3 major changes to the introduction and concluding sections; some typos corrected; to appear in Nucl. Phys. B
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Cited by in corpus (4)
- A renormalisation group derivation of the overlap formulation
- A Ginsparg-Wilson approach to lattice CP symmetry, Weyl and Majoranna fermions, and the Higgs mechanism
- Block renormalization group transformations and overlap fermions
- A further extension to the group of Ginsparg-Wilson (overlap) chiral symmetries