Light hadron and diquark spectroscopy in quenched QCD with overlap quarks on a large lattice

Babich, Ronald; Berruto, F.; Garrón, Nicolas; Hoelbling, Christian; Howard, Joseph; Lellouch, Laurent; Rebbi, C.; Shoresh, Noam

doi:10.1088/1126-6708/2006/01/086

Cited by 27 publications

(45 citation statements)

References 94 publications

(168 reference statements)

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“…The former approach was first pursued in [6], where diquark correlators were calculated with Wilson fermions in the Landau gauge. More recently, we presented a similar investigation in [7] with overlap fermions at significantly lighter quark masses. By comparing the effective mass of the diquark with that of its constituent quarks, the scalar diquark was found to be bound in the limit of vanishing quark mass.…”

Section: Introductionmentioning

confidence: 90%

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Diquark correlations in baryons on the lattice with overlap quarks

Babich

Garrón²,

Hoelbling³

et al. 2007

Phys. Rev. D

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We evaluate baryon wave functions in both the Coulomb and Landau gauge in lattice QCD. These are constructed from quark propagators calculated with the overlap Dirac operator on quenched gauge configurations at β = 6. By comparing baryon states that differ in their diquark content, we find evidence for enhanced correlation in the scalar diquark channel, as favored by quark models. We also summarize earlier results for diquark masses in the Landau gauge, casting them in a form more easily compared with subsequent studies.

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Section: Introductionmentioning

confidence: 90%

“…This is not a gauge-invariant concept and such a parameter cannot be interpreted as the mass of a physical state, but it may nevertheless give some indication of the relative strength of binding. In [7], we presented results for diquark masses calculated in the Landau gauge from correlators of the form…”

Section: Diquark Massesmentioning

confidence: 99%

Diquark correlations in baryons on the lattice with overlap quarks

Babich

Garrón²,

Hoelbling³

et al. 2007

Phys. Rev. D

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“…[12], where for L > ∼ 1.5 fm it was found a detailed agreement of the predictions of random matrix theory for the low-lying eigenvalues of the Dirac operator with quenched QCD results. The values of the two lattice spacings are chosen to guarantee the locality of the Neuberger operator [54], and to be in a range where discretization effects were found to be small in several observables [14,55]. The quark masses for the lattice c1 are fixed to be roughly in the interval 0.07 < ∼ µ < ∼ 1.2.…”

Section: Numerical Experiencementioning

confidence: 99%

Spontaneous chiral symmetry breaking in QCD: a finite-size scaling study on the lattice

Giusti¹,

Necco²

2007

J. High Energy Phys.

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Spontaneous chiral symmetry breaking in QCD with massless quarks at infinite volume can be seen in a finite box by studying, for instance, the dependence of the chiral condensate from the volume and the quark mass. We perform a feasibility study of this program by computing the quark condensate on the lattice in the quenched approximation of QCD at small quark masses. We carry out simulations in various topological sectors of the theory at several volumes, quark masses and lattice spacings by employing fermions with an exact chiral symmetry, and we focus on observables which are infrared stable and free from mass-dependent ultraviolet divergences. The numerical calculation is carried out with an exact variance-reduction technique, which is designed to be particularly efficient when spontaneous symmetry breaking is at work in generating a few very small low-lying eigenvalues of the Dirac operator. The finite-size scaling behaviour of the condensate in the topological sectors considered agrees, within our statistical accuracy, with the expectations of the chiral effective theory. Close to the chiral limit we observe a detailed agreement with the first Leutwyler-Smilga sum rule. By comparing the mass, the volume and the topology dependence of our results with the predictions of the chiral effective theory, we extract the corresponding low-energy constant.

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“…While string-type models consisting of a quark plus a diquark have been studied using various analytic techniques (see [2] for a review), there have only been a few studies of this type of system on the lattice. These studies have investigated the mass of diquarks [3][4][5][6][7], and, more recently, the nature of diquark correlations [8]. Recently we investigated the formation of flux tubes in static baryon systems on the lattice using a high statistics approach which enabled us to observe correlations between the vacuum action density and the quark positions in a gauge independent manner [9].…”

Section: Introductionmentioning

confidence: 99%

Comparison of gluon flux-tube distributions for quark-diquark and quark-antiquark hadrons

Bissey¹,

Signal²,

Leinweber³

2009

Phys. Rev. D

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The distribution of gluon fields in hadrons is of fundamental interest in QCD. Using lattice QCD we have observed the formation of gluon flux tubes within three quark (baryon) and quark plus antiquark (meson) systems for a wide variety of spatial distributions of the color sources. In particular we have investigated three quark configurations where two of the quarks are close together and the third quark is some distance away, which approximates a quark plus diquark string. We find that the string tension of the quark-diquark string is the same as that of the quark-antiquark string on the same lattice. We also compare the longitudinal and transverse profiles of the gluon flux tubes for both sets of strings, and find them to be of similar radii and to have similar vacuum suppression.

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Light hadron and diquark spectroscopy in quenched QCD with overlap quarks on a large lattice

Cited by 27 publications

References 94 publications

Diquark correlations in baryons on the lattice with overlap quarks

Diquark correlations in baryons on the lattice with overlap quarks

Spontaneous chiral symmetry breaking in QCD: a finite-size scaling study on the lattice

Comparison of gluon flux-tube distributions for quark-diquark and quark-antiquark hadrons

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