Fermion-field nontopological solitons

Friedberg, R.; Lee, T.D.

doi:10.1103/physrevd.15.1694

Cited by 371 publications

(274 citation statements)

References 23 publications

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“…We develop an effective theory which has the following dual descriptions: (i) classical gluodynamics in a curved conformal space-time background and (ii) gluodynamics in flat space-time coupled to scalar glueballs (which in this case play the role of dilatons saturating the correlation functions of the trace of the energy-momentum tensor). The representation of the effective theory in flat space-time appears quite similar to the non-topological soliton model of Friedberg and Lee [8] which describes quarks coupled to a scalar self-interacting field, and more generally to the approach outlined in Ref. [9]; we will return to the discussion of this topic later.…”

Section: B Qcd In a Cavitymentioning

confidence: 99%

QCD in curved space-time: A conformal bag model

2004

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We construct an effective low energy Lagrangian of gluodynamics which (i) satisfies all constraints imposed by the Renormalization Group; (ii) is scale and conformally invariant in the limit of vanishing vacuum energy density; (iii) matches onto the perturbative theory at short distances. This effective theory has a dual description as classical gluodynamics on a curved conformal background. Color fields are dynamically confined, and the strong coupling freezes at distances larger than the glueball size. We also make specific predictions (in particular, on the N c dependence of glueball properties) which can be tested in lattice simulations of gluodynamics.

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Section: B Qcd In a Cavitymentioning

confidence: 99%

QCD in curved space-time: A conformal bag model

2004

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“…In this work we choose the framework of the chromodielectric model (CDM) [13][14][15]. Unlike the MIT bag model, CDM has the benefit, that bags with a smooth surface are created self-consistently and dynamically out of the underlying field equations, due to the presence of colored quarks.…”

Section: Introductionmentioning

confidence: 99%

Interactions of multiquark states in the chromodielectric model

et al. 2006

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We investigate 4-quark (qqqq) systems as well as multi-quark states with a large number of quarks and anti-quarks using the chromodielectric model. In the former type of systems the flux distribution and the corresponding energy of such systems for planar and non-planar geometries are studied. From the comparison to the case of two independent qq-strings we deduce the interaction potential between two strings. We find an attraction between strings and a characteristic string flip if there are two degenerate string combinations between the four particles. The interaction shows no strong Van-der-Waals forces and the long range behavior of the potential is well described by a Yukawa potential, which might be confirmed in future lattice calculations. The multi-quark states develop an inhomogeneous porous structure even for particle densities large compared to nuclear matter constituent quark densities. We present first results of the dependence of the system on the particle density pointing towards a percolation type of transition from a hadronic matter phase to a quark matter phase. The critical energy density is found at εc = 1.2 GeV/fm 3 .

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“…Therefore we have to construct the model carefully in order to ensure this. As we shall see in the next section this imposes severe constraints on the functional form of K( a), which have not been taken into account in previous approaches [1,2,3].…”

Section: The Friedberg Lee Modelmentioning

confidence: 99%

“…(11) can also be obtained by minimizing t after eliminating E via (13). As a measure for the radius of the flux tube we define (16) In order to make a calculation we have to specify the functional forms of U and "'· As in previous references [1,2,3] we use a quartic polynomial for U: (17) For c > 0 and 0 < aM < av 12 this potential has a minimum at 0 and av and a maximum at aM. The ratio aM I av determines the shape of the potential, whereas c and av simply rescale it 2 • Most previous approaches made the ansatz that K( a) is a polynomial of the form 11-(a I av )n lm [1 ,2,3].…”

Section: The Friedberg Lee Modelmentioning

confidence: 99%

“…However, coupling a linearly to the quarks neither gives rise to absolute quark confinement, as the mass of a quark in the nonperturbative vacuum is still finite, nor does it explain why the quarks have to be coupled to colour singlets. Confinement is achieved by coupling the gluon field to the a-field via a dielectric constant ~~:(a) [1,2]. The functional form of K is chosen so that it is 1 for a = 0 and approaches zero for a ----+ av, as shown in fig.…”

Section: The Friedberg Lee Modelmentioning

confidence: 99%

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Dynamical properties and flux tubes of the Friedberg-Lee model

Grabiak

Gyulassy

1991

J. Phys. G: Nucl. Part. Phys.

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A new non-polynomial parametrization for the dielectric function of the Ftiedberg-Lee model is euggeted to enlorce the confinement of dynamical gluons. We investigated flux tube solutions of this model and show how divergences of the colour magnetic qua& interaction can be avoided. As effective models for confmement. we contraut the Riedberg-Lee model and Abelian Higgs models. We point aut pathdogid properties of the Friedberg-Lee model: (i) the lack of confinement of high-frequency gluons and (ii) sensitivity of the scalar field dynamics to unphysied vector fields in the non-pertwhstive vacuum, m = ov . These problems can be cured only by requiring that all derivatives of the dielectric function .(U) vanish in the non-pertubative vacuum. Uaing an ansets with this property we investigate flux tu& solutions. As effective models for confinement, we ContraPt the Friedberg-Lee model and the Abelian Higgs model.

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Fermion-field nontopological solitons

Cited by 371 publications

References 23 publications

QCD in curved space-time: A conformal bag model

QCD in curved space-time: A conformal bag model

Interactions of multiquark states in the chromodielectric model

Dynamical properties and flux tubes of the Friedberg-Lee model

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