<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>structure functions from lattice QCD

Best, C.; Göckeler, M.; Horsley, R.; Ilgenfritz, Ernst-Michael; Perlt, H.; Rakow, P. E. L.; Schäfer, Andreas; Schierholz, G.; Schiller, A.; Schramm, Stefan

doi:10.1103/physrevd.56.2743

Cited by 190 publications

(274 citation statements)

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“…At β = 6.2 we are lacking data at small quark masses and on larger volumes. In the chiral limit our fits give m N /m ρ = 1.32 (11) for improved fermions and m N /m ρ = 1.39 (12) for Wilson fermions, so that we cannot say anything conclusive about the behavior of the two actions in the chiral limit in this case.…”

Section: Ape Plotsmentioning

confidence: 93%

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Scaling of nonperturbativelyO(a)-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants

et al. 1998

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Section: Ape Plotsmentioning

confidence: 93%

“…For a detailed description of our application of this procedure see ref. [11]. We have two parameters we can use to set the size of our source, the number of smearing steps, N s , and the smearing hopping parameter, κ s .…”

Section: Computational Detailsmentioning

confidence: 99%

Scaling of nonperturbativelyO(a)-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants

et al. 1998

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“…Certainly this is not a very physical assumption. The idea of Jacobi smearing [13,14] is to create an extended source by iteratively applying the hopping part of the Wilson term within the timeslice of the source:…”

Section: The Methodsmentioning

confidence: 99%

Excited hadrons on the lattice: Mesons

et al. 2006

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“…Instead of using point sources we use Jacobi smeared sources [26,27] which are approximately of Gaussian shape. Their shape was adjusted to a width of about 0.27 fm [17].…”

Section: Gauge Configurationsmentioning

confidence: 99%

Unbreaking chiral symmetry

Lang

Schröck

2011

Phys. Rev. D

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In Quantum Chromodynamics (QCD) the eigenmodes of the Dirac operator with small absolute eigenvalues have a close relationship to the dynamical breaking of the chiral symmetry. In a simulation with two dynamical quarks, we study the behavior of meson propagators when removing increasingly more of those modes in the valence sector, thus partially removing effects of chiral symmetry breaking. We find that some of the symmetry aspects are restored (e.g., the masses of ρ and a1 approach each other) while confining properties persist.PACS numbers: 11.15.Ha, 12.38.Gc I. MOTIVATION AND INTRODUCTIONDynamical chiral symmetry breaking in QCD is associated with the low lying spectral modes of the Dirac operator D [1]. They affect the path integral weight of the gauge configurations through the determinant of D.As indicated by the Atiyah-Singer index theorem [2], the exact zero modes are related to topological excitations, the instantons. For Dirac operators violating chiral symmetry these are real eigenmodes. The nearby non-real modes are also thought to be related to composed structure of, e.g., overlapping instantons [3]. 1 In a series of papers [4][5][6] it was emphasized that low modes saturate the pseudoscalar and axial vector correlators at large distances and do not affect the part where high-lying states appear. In [6,7] low mode saturation and also effects of low mode removal for mesons were studied for quenched configurations with the overlap Dirac operator [8,9].Subsequently low modes were utilized to improve the convergence of the determination of hadron propagators [6,7,10,11] (see also the recent study [12,13] comparing the efficiency when using the low modes of the Dirac operator or the hermitian Dirac operator, where strong dependence on the parity of the hadron states was presented).Associating the low mode sector with the nonperturbative chiral symmetry breaking and the condensate [1], a complementary question is how important it is for confinement and mass generation of hadrons. Here we study what happens, if one removes up to 512 low lying modes from the valence quark sector. We compute propagators of the pion and other mesons and determine the effect of this removal on the mass spectrum. This way we want to shed light on the role of the condensate related to * christian.lang@uni-graz.at † mario.schroeck@uni-graz.at 1 Even when studying the low lying modes in quenched gauge ensembles one observes non-vanishing density and also the GellMann-Oakes-Renner relation works down to small values of the valence quark mass until quenched chiral logs destroy the leading chiral symmetry breaking behavior. the spectral part of the Dirac operator in confinement and chiral symmetry breaking. Our analysis is done for configurations generated for two light, mass degenerate dynamical quark flavors. The removal of the low lying modes is effective only in the valence quarks sector. However, as will be seen, this already has significant impact on the meson mass spectrum.In [14,15] it has been conjectured that chiral symmetr...

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πandρstructure functions from lattice QCD

Cited by 190 publications

References 15 publications

Scaling of nonperturbativelyO(a)-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants

Scaling of nonperturbativelyO(a)-improved Wilson fermions: Hadron spectrum, quark masses, and decay constants

Excited hadrons on the lattice: Mesons

Unbreaking chiral symmetry

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