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in 1982, however it was quickly forgotten about since there were no known solutions. It was only in 1997 and 1998 that the first solutions were found in the form of the overlap and fixed point fermions, at which point the equation entered prominence.
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642:. World Scientific Lecture Notes in Physics (3 ed.). World Scientific Publishing Company. pp. 73–76.
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311:. The exact form of this modification depends on the individual realisation.
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Neuberger, H. (1998). "More about exactly massless quarks on the lattice".
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FLAG Working Group; Aoki, S.; et al. (2014). "A.1 Lattice actions".
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on the lattice in a way that approaches the continuum formulation in the
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Gattringer, C.; Lang, C.B. (2009). "7 Chiral symmetry on the lattice".
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which recovers the correct continuum expression as the lattice spacing
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Neuberger, H. (1998). "Exactly massless quarks on the lattice".
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Review of
Lattice Results Concerning Low-Energy Particle Physics
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additively but multiplicatively, thus lifting the unphysical
262:, Ginsparg–Wilson fermions do not modify the inverse fermion
609:. Lecture Notes in Physics 788. Springer. pp. 163–164.
225:{\displaystyle D\gamma _{5}+\gamma _{5}D=a\,D\gamma _{5}D\,}
83:. More precisely, the continuum chiral symmetry relation
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Hasenfratz, P. (1998). "Prospects for perfect actions".
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Rothe, Heinz J. (2005). "4 Fermions on the lattice".
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665:"An introduction to chiral symmetry on the lattice"
332:. Eur. Phys. J. C. Vol. 74. pp. 116–117.
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393:Ginsparg, Paul H. and Wilson, Kenneth G. (1982).
75:Ginsparg–Wilson fermions do not contradict the
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395:"A remnant of chiral symmetry on the lattice"
63:calculations. The equation was discovered by
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431:: CS1 maint: multiple names: authors list (
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128:{\displaystyle D\gamma _{5}+\gamma _{5}D=0}
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59:problem, widely used for instance in
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39:satisfy this equation are known as
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79:because they explicitly violate
304:{\displaystyle p_{\mu }=\pi /a}
348:10.1140/epjc/s10052-014-2890-7
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35:. The class of fermions whose
16:Lattice fermion discretisation
1:
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663:Chandrasekharan, S. (2004).
675:(2). Elsevier BV: 373–418.
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77:Nielsen–Ninomiya theorem
41:Ginsparg–Wilson fermions
25:Ginsparg–Wilson equation
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264:propagator
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486:119372020
374:cite book
339:1310.8555
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