2011
DOI: 10.1063/1.3622708
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Chiral Fermions on the Lattice

Abstract: In the last century the non-perturbative regularization of chiral fermions was a long-standing problem. We review how this problem was finally overcome by the formulation of a modified but exact form of chiral symmetry on the lattice. This also provides a sound definition of the topological charge of lattice gauge configurations. We illustrate a variety of applications to QCD in the p-, the epsilon- and the delta-regime, where simulation results can now be related to Random Matrix Theory and Chiral Perturbatio… Show more

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Cited by 4 publications
(3 citation statements)
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“…QCD lattice simulations with three light flavours at pion and kaon masses smaller than 600 MeV are consid-ered. That leaves data sets from PACS-CS, LHPC, HSC, NPLQCD, QCDSF-UKQCD and ETMC [15][16][17][18][19][20]. We are aware of the recent lattice ensembles of the CLS group with 2+1 flavors based on nonperturbatively improved Wilson fermions [21][22][23].…”
Section: Introductionmentioning
confidence: 99%
“…QCD lattice simulations with three light flavours at pion and kaon masses smaller than 600 MeV are consid-ered. That leaves data sets from PACS-CS, LHPC, HSC, NPLQCD, QCDSF-UKQCD and ETMC [15][16][17][18][19][20]. We are aware of the recent lattice ensembles of the CLS group with 2+1 flavors based on nonperturbatively improved Wilson fermions [21][22][23].…”
Section: Introductionmentioning
confidence: 99%
“…The QCDSF collaboration [25][26][27] compared their data for the mass gap from numerical simulations of lattice QCD to (6.1) using values…”
Section: Jhep04(2016)110mentioning
confidence: 99%
“…Recent results using Clover [5] and TM fermion actions [6] with a careful analysis of lattice systematics have been obtained showing agreement with the experimental values. The QCDSF-UKQCD [7] and PACS-CS collaborations [8] have also performed spectrum studies using Clover fermions. Recent results using staggered [9], domain wall fermions (DWF) [10], and a mixed action approach with staggered sea quarks and DW valence quarks [11] show overall consistency [12].…”
Section: Hadron Massesmentioning
confidence: 99%