Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function

Iritani, Takumi; Suganuma, Hideo; Iida, Hidehiro

doi:10.1103/physrevd.80.114505

Cited by 62 publications

(104 citation statements)

References 105 publications

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“…All the approximations require independent confirmation and further studies are needed to arrive at a reliable conclusion. In [11], the gluon spectral function was also probed using fitting forms for the propagator.…”

Section: On the Gluon Propagatormentioning

confidence: 99%

Glueball spectral densities from the lattice

Oliveira¹,

Dudal²,

Silva³

2012

Proceedings of the 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012)

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The propagator of a physical degree of freedom ought to obey a Källén-Lehmann spectral representation, with positive spectral density. The latter quantity is directly related to a cross section based on the optical theorem. The spectral density is a crucial ingredient of a quantum field theory with elementary and bound states, with a direct experimental connection as the masses of the excitations reflect themselves into (continuum) δ -singularities. In usual lattice simulational approaches to the QCD spectrum the spectral density itself is not accessed. The (bound state) masses are extracted from the asymptotic exponential decay of the two-point function. Given the importance of the spectral density, each nonperturbative continuum approach to QCD should be able to adequately describe it or to take into proper account. In this work, we wish to present a first trial in extracting an estimate for the scalar glueball spectral density in SU(3) gluodynamics using lattice gauge theory.

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Section: On the Gluon Propagatormentioning

confidence: 99%

Glueball spectral densities from the lattice

Oliveira¹,

Dudal²,

Silva³

2012

Proceedings of the 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012)

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“…The analysis of gluon properties is an important key point to clarify the nonperturbative aspects of QCD [1,2,3]. In particular, the gluon propagator, i.e., the two-point Green function is one of the most basic quantities in QCD, and has been investigated with much interests [1,4,5].…”

Section: Introductionmentioning

confidence: 99%

Lattice QCD Study for Gluon Propagator and Gluon Spectral Function

Suganuma¹,

Iritani²,

Yamamoto³

et al. 2011

Proceedings of the XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010)

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We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at β =5.7, 5.8 and 6.0 at the quenched level. The Euclidean Landau-gauge gluon propagator D(r) ≡ D aa µ µ (x)/24 is found to be well described by four-dimensional Yukawa-type function e −mr /r in the infrared and intermediate region of r ≡ (x µ x µ ) 1/2 = 0.1 ∼ 1.0fm. The infrared effective gluon mass is obtained as m ≃ 600MeV. Associated with the 4D Yukawa-type gluon propagator, we derive analytical expressions for the zero-spatial-momentum propagator D 0 (t), the effective mass M eff (t), and the spectral function ρ(ω) of the gluon field. Remarkably, the obtained gluon spectral function ρ(ω) is almost negative definite, except for a positive δ -functional peak at ω = m. Since the Yukawatype propagation indicates a three-dimensional space-time character, we consider a hypothesis of an effective dimensional reduction by generalized Parisi-Sourlas mechanism in a stochastic color-magnetic vacuum of infrared QCD. Lattice Field Theories

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“…In the Coulomb gauge, the instantaneous potential is expressed by the Coulomb plus linear potential [5], while no linear part appears in this potential in the Landau gauge [6,8].…”

Section: Terminated Polyakov Line and Instantaneous Potentialmentioning

confidence: 99%

“…} by gauge transformation [6]. The Coulomb gauge is also one of the most popular gauges, and is defined as…”

Section: Generalization Of the Landau Gaugementioning

confidence: 99%

Lattice QCD analysis for the instantaneous interquark potential in the generalized Landau gauge

Iritani¹,

Suganuma²

2011

Proceedings of the XXVIII International Symposium on Lattice Field Theory — PoS(Lattice 2010)

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Using generalized Landau gauge, we study the continuous change of gluon properties from the Landau gauge toward the Coulomb gauge in SU(3) lattice QCD. We investigate "instantaneous interquark potential", which is defined by the spatial correlation of the temporal link-variable U 4 and is an interesting gauge-dependent concept. In the Coulomb gauge, the instantaneous potential is expressed by the Coulomb plus linear potential, where the slope is, however, 2-3 times as large as the physical string tension. In the Landau gauge, the instantaneous potential has no linear part. We find that the linear part is continuously growing by varying gauge from the Landau gauge toward the Coulomb gauge. We also find that the instantaneous potential approximately reproduces the physical interquark potential in a specific intermediate gauge, λ C -gauge. This λ Cgauge is expected to be a useful gauge for modeling effective theories such as the quark potential model.

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Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function

Cited by 62 publications

References 105 publications

Glueball spectral densities from the lattice

Glueball spectral densities from the lattice

Lattice QCD Study for Gluon Propagator and Gluon Spectral Function

Lattice QCD analysis for the instantaneous interquark potential in the generalized Landau gauge

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