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Local chiral fermions · Around

2008

Local chiral fermions

Creutz, Michael

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Borici's construction of minimally doubled chiral fermions builds on a linear combination of two unitarily related naive fermion actions.

Being strictly local, extremely efficient numerical implementation should be possible.
The resulting system is symmetric under the subgroup of the hypercubic group that preserves a major hypercube diagonal.
The symmetry includes both parity even and odd transformations, but allows for an anisotropy to appear at finite lattice spacing.

Built on

K. G. Wilson, in New Phenomena In Subnuclear Physics. Part A. Proceedings of the First Half of the 1975 International School of Subnuclear Physics,
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J. B. Kogut and L. Susskind, Phys. Rev. D 11
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L. H. Karsten, Phys. Lett. B 104
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H. B. Nielsen and M. Ninomiya, Nucl. Phys. B 185
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Similar

F. Wilczek, Phys. Rev. Lett. 59
1987
Cited alongside, same era.
D. B. Kaplan, Phys. Lett. B 288
1995
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P. Hasenfratz and F. Niedermayer, Nucl. Phys. B 414
1996
Cited alongside, same era.
H. Neuberger, Phys. Lett. B 417
1998
Cited alongside, same era.
A. Borici, arXiv:0712.4401 [hep-lat]
Original
Cited in the paper.

Then

M. Creutz, Phys. Lett. B 649
Original
2006
Later among the works it cites.
M. Creutz, JHEP 0804
Original
2008
Closest in time.
P. F. Bedaque, M. I. Buchoff, B. C. Tiburzi and A. Walker-Loud, Phys. Lett. B 662
Original
2008
Closest in time.
K. Cichy, J. Gonzalez Lopez, K. Jansen, A. Kujawa and A. Shindler, Nucl. Phys. B 800
Original
2008
Closest in time.

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