Staggered fermions and gauge field topology

Damgaard, Poul H.; Heller, Urs M.; Niclasen, R.; Rummukainen, Kari

doi:10.1103/physrevd.61.014501

Cited by 43 publications

(62 citation statements)

References 39 publications

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“…Exact zero modes are here replaced by "almost" zero modes which accumulate to the origin in the continuum limit. In the strong coupling region the microscopic staggered Dirac spectra summed over all topological sectors show [27,28] good agreement with the analytical prediction for the topologically neutral, ν = 0, sector from chRMT. However, approaching weaker coupling observations contradicting this scenario have been found in a two-dimensional context [29].…”

Section: Expectations From Chrmtsupporting

confidence: 65%

Microscopic universality and the chiral phase transition in two flavor QCD

et al. 2000

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We re-analyze data from available finite-temperature QCD simulations near the chiral transition, with the help of Chiral Random Matrix Theory (chRMT). Statistical properties of the lowest-lying eigenvalues of the staggered Dirac operator for SU(3) lattice gauge theory with dynamical fermions are examined. We consider temperatures below, near, and above the critical temperature Tc for the chiral phase transition. Below and above Tc the statistics are in agreement with the exact analytical predictions in the microscopic scaling regime. Above Tc we observe a gap in the spectral density and a distribution compatible with the Airy distribution. Near Tc the eigenvalue correlations appear inconsistent with chRMT.

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Section: Expectations From Chrmtsupporting

confidence: 65%

Microscopic universality and the chiral phase transition in two flavor QCD

et al. 2000

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“…At the coupling considered, two staggered fermions give rise to spontaneous chiral symmetry breaking of the form U(2)×U (2)→U (2). The staggered theory at this coupling thus appears to be "insensitive" to gauge field topology (see for instance [23]): The additional U(1) factor in the coset dictates that we must compare our numerical results with ν = 0 in Eq. (21).…”

Section: Numerical Resultsmentioning

confidence: 99%

ExtractingFπfrom small lattices: Unquenched results

Damgaard¹,

Heller

Splittorff³

et al. 2006

Phys. Rev. D

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We calculate the response of the microscopic Dirac spectrum to an imaginary isospin chemical potential for QCD with two dynamical flavors in the chiral limit. This extends our previous calculation from the quenched to the unquenched theory. The resulting spectral correlation function in the ǫ-regime provides here, too, a new and efficient way to measure Fπ on the lattice. We test the method in a hybrid Monte Carlo simulation of the theory with two staggered quarks.

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“…In addition, the low-lying eigenvalues do not follow the predictions from universality. In fact, the eigenvalues in each sector of charge Q = 0 all follow the distribution corresponding to the sector with Q = 0 [15,16,17,18,19]. (It should be noted that the method we follow here, of grouping the eigenvalues into quartets, was not followed because this feature of the spectrum was not evident.…”

Section: Introductionmentioning

confidence: 99%

Index Theorem and Universality Properties of the Low-Lying Eigenvalues of Improved Staggered Quarks

2004

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We study various improved staggered quark Dirac operators on quenched gluon backgrounds in lattice QCD generated using a Symanzik-improved gluon action. We find a clear separation of the spectrum into would-be zero modes and others. The number of would-be zero modes depends on the topological charge as expected from the Index Theorem, and their chirality expectation value is large (≈ 0.7). The remaining modes have low chirality and show clear signs of clustering into quartets and approaching the random matrix theory predictions for all topological charge sectors. We conclude that improvement of the fermionic and gauge actions moves the staggered quarks closer to the continuum limit where they respond correctly to QCD topology.

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Staggered fermions and gauge field topology

Cited by 43 publications

References 39 publications

Microscopic universality and the chiral phase transition in two flavor QCD

Microscopic universality and the chiral phase transition in two flavor QCD

ExtractingFπfrom small lattices: Unquenched results

Index Theorem and Universality Properties of the Low-Lying Eigenvalues of Improved Staggered Quarks

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