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Initially introduced by
Neuberger in 1998, they were quickly taken up for a variety of numerical simulations. By now overlap fermions are well established and regularly used in non-perturbative fermion simulations, for instance in
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294:{\displaystyle D_{\text{ov}}={\frac {1}{a}}\left(\left(1+am\right)\mathbf {1} +\left(1-am\right)\gamma _{5}\mathrm {sign} \right)\,}
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840:{\displaystyle D_{\text{ov}}={\frac {1}{a}}+m+i\,{p\!\!\!/}{\frac {1}{1-s}}+{\mathcal {O}}(a)}
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the overlap Dirac operator recovers the correct continuum form (using the
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FLAG Working Group; Aoki, S.; et al. (2014). "A.1 Lattice actions".
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Gattringer, C.; Lang, C.B. (2009). "7 Chiral symmetry on the lattice".
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945:"Overlap and domainwall fermions: what is the price of chirality?"
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Review of
Lattice Results Concerning Low-Energy Particle Physics
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is a free parameter that can be tuned to optimise locality of
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1278:. Lecture Notes in Physics 788. Springer. pp. 177–182.
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Kennedy, A.D. (2012). "Algorithms for
Dynamical Fermions".
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1071:"Going chiral: twisted mass versus overlap fermions"
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1171:. Eur. Phys. J. C. Vol. 74. pp. 116–117.
1006:"An introduction to chiral symmetry on the lattice"
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1010:Progress in Particle and Nuclear Physics
880:"Exactly massless quarks on the lattice"
477:{\displaystyle A=aD-\mathbf {1} (1+s)\,}
86:discretization that allows to avoid the
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853:Overlap fermions do not contradict the
324:is the ″kernel″ Dirac operator obeying
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1116:Smit, J. (2002). "8 Chiral symmetry".
545:{\displaystyle s\in \left(-1,1\right)}
712:whereas the unphysical doublers near
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428:. A common choice for the kernel is
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890:(1–2). Elsevier BV: 141–144.
572:{\displaystyle D_{\text{ov}}}
1004:Chandrasekharan, S. (2004).
1016:(2). Elsevier BV: 373–418.
417:{\displaystyle \gamma _{5}}
105:Overlap fermions with mass
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1128:10.1017/CBO9780511583971
855:Nielsen–Ninomiya theorem
92:Ginsparg–Wilson fermions
734:{\displaystyle pa=\pi }
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100:lattice QCD
1308:Categories
865:References
1213:cite book
1178:1310.8555
1154:116214756
1103:0010-4655
1048:0146-6410
983:0920-5632
930:119372020
922:0370-2693
810:−
729:π
526:−
518:∈
451:−
406:γ
359:γ
353:†
333:γ
271:γ
244:γ
229:−
1319:Fermions
1205:25972762
1056:17473067
1196:4410391
1083:Bibcode
1028:Bibcode
991:2547180
963:Bibcode
902:Bibcode
377:, i.e.
84:fermion
35:Please
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487:where
304:where
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1234:arXiv
1173:arXiv
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1018:arXiv
987:S2CID
953:arXiv
926:S2CID
892:arXiv
582:Near
1288:ISBN
1261:help
1219:link
1201:PMID
1140:ISBN
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1044:ISSN
979:ISSN
918:ISSN
1280:doi
1191:PMC
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