Lattice fermions: Species doubling, chiral invariance and the triangle anomaly

Karsten, Luuk H.; Smith, J. Russell

doi:10.1016/0550-3213(81)90549-6

Cited by 615 publications

(301 citation statements)

References 22 publications

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“…These fermion self-energy corrections have been calculated previously to O (g2) on isotropic lattices for Wilson fermions [ 8,9 ] as well as staggered fermions [ 10 ]. We have extended these calculations to the case of anisotropic lattices [ 5 ].…”

Section: S~(p ) =Sv O(p ) + S(p ) (17)mentioning

confidence: 99%

QCD thermodynamics with light quarks. Quantum corrections to the fermionic anisotropy parameter

Karsch

Stamatescu

1989

Physics Letters B

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We determine the O(g 2) corrections to the anisotropy parameter in the fermionic action, which are required to guarantee a rotational invariant continuum limit on anisotropic lattices. We show the importance of these quantum corrections for QCD thermodynamics on isotropic lattices. Only after including these corrections do we find, on large lattices, agreement between lattice and continuum perturbation theory at finite temperature. The implied renormalization of the operators used in Monte Carlo simulations to measure the energy density leads to a 20% reduction of the fermionic part of the energy density which, to a large extent, compensates the previously found overshooting in the gluonic sector. We reanalyze existing Monte Carlo data for the thermodynamics of QCD with light quarks and extract the entropy density. We find that immediately above the chiral transition the entropy density is already close to the ideal gas value.

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Section: S~(p ) =Sv O(p ) + S(p ) (17)mentioning

confidence: 99%

QCD thermodynamics with light quarks. Quantum corrections to the fermionic anisotropy parameter

Karsch

Stamatescu

1989

Physics Letters B

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“…The problem arises because the staggered formulation for lattice quarks starts with an inherent factor of four in the number of species [29,30,31,32]. These species are sometimes called "tastes."…”

Section: Consequences For Rooted Determinantsmentioning

confidence: 99%

The ’t Hooft vertex revisited

Creutz

2008

Annals of Physics

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In 1976 't Hooft introduced an elegant approach towards understanding the physical consequences of the topological structures that appear in non-Abelian gauge theories. These effects are concisely summarized in terms of an effective multifermion interaction. These old arguments provide a link between a variety of recent and sometimes controversial ideas including discrete chiral symmetries appearing in some models for unification, ambiguities in the definition of quark masses, and flaws with some simulation algorithms in lattice gauge theory.

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“…This staggered contributionρ H represents the spectral function in the channel related to the original ρ H by replacing Γ H →Γ H = γ 4 γ 5 Γ H [24]. Note that in particular the pseudoscalar (scalar) spectral function mixes with the zero'th component of vector (axial vector) current spectral function.…”

Section: Staggered Fermionsmentioning

confidence: 99%

Continuum and lattice meson spectral functions at nonzero momentum and high temperature

2005

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We analyse discretization effects in the calculation of high-temperature meson spectral functions at nonzero momentum and fermion mass on the lattice. We do so by comparing continuum and lattice spectral functions in the infinite temperature limit. Complete analytical results for the spectral densities in the continuum are presented, along with simple expressions for spectral functions obtained with Wilson and staggered fermions on anisotropic lattices. We comment on the use of local and point split currents. ‡

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Lattice fermions: Species doubling, chiral invariance and the triangle anomaly

Cited by 615 publications

References 22 publications

QCD thermodynamics with light quarks. Quantum corrections to the fermionic anisotropy parameter

QCD thermodynamics with light quarks. Quantum corrections to the fermionic anisotropy parameter

The ’t Hooft vertex revisited

Continuum and lattice meson spectral functions at nonzero momentum and high temperature

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