Goldstone bosons and scalar gluonium

Gomm, Harald; Schechter, J.

doi:10.1016/0370-2693(85)90451-4

Cited by 49 publications

(20 citation statements)

References 12 publications

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“…The interactions (5.3) and (5.4) have already been studied in the effective meson Eagrangian approaches [7], but the last one (5.5) is a new feature due to the nontrivial scale dependence of the meson fields. As we will see, this term plays an important role in the decay G~rc.…”

Section: Mixing Between Glueball and Scalar Modesmentioning

confidence: 98%

“…Since the mass matrix of the s-2 system has off-diagonal elements, diagonalization yields the physical scalar modes as mixtures of glueball and qc] states [7,8,13]. We introduce the physical fields S and G as Next, we consider the decay widths of these states.…”

Section: Mixing Between Glueball and Scalar Modesmentioning

confidence: 99%

“…Schechter [6] has combined this concept with chiral effective meson theory, by introducing a dilatation (gluonium) field which represents the composite operator Fu~ Fa uv. Quantum excitations of this gluon composite should then be identified with glueball states [7,8]. Several authors have recently studied thermodynamical implications of this idea [9][10][11].…”

Section: Introductionmentioning

confidence: 97%

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Trace anomaly and chiral symmetry breaking scale in the Nambu and Jona-Lasinio model

Kusaka

Weise

1992

Z. Physik A - Hadrons and Nuclei

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The possible connection between the chiral symmetry breaking scale in the Nambu and Jona-Lasinio model and gluonic degrees of freedom is studied by introducing the dilatation (gluonium) field. Identifying the divergence of the dilatation current with the QCD trace anomaly, the empirical value of the gluon condensate gives a constituent quark mass of about 400 MeV. We study the glueball-meson effective Lagrangian and discuss scalar modes as a mixture of glueball and qg/states.

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Section: Mixing Between Glueball and Scalar Modesmentioning

confidence: 98%

Section: Mixing Between Glueball and Scalar Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

See 1 more Smart Citation

Trace anomaly and chiral symmetry breaking scale in the Nambu and Jona-Lasinio model

Kusaka

Weise

1992

Z. Physik A - Hadrons and Nuclei

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“…For the latter, guided by the QCD beta function, we take δ = 4/33 as in previous work. The logarithmic terms contribute to the trace anomaly: in addition to the standard contribution from the glueball field [8,9] there is a contribution from the σ field. There is also a contribution from the explicit symmetry breaking, which is related to the pion mass.…”

Section: Equations Of Motionmentioning

confidence: 99%

An effective lagrangian with broken scale and chiral symmetry IV: Nucleons and mesons at finite temperature

Carter¹,

Ellis²

1998

Nuclear Physics A

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We study the finite temperature properties of an effective chiral Lagrangian which describes nuclear matter. Thermal fluctuations in both the nucleon and the meson fields are considered. The logarithmic and square root terms in the effective potential are evaluated by expansion and resummation with the result written in terms of the exponential integral and the error function, respectively. In the absence of explicit chiral symmetry breaking a phase transition restores the symmetry, but when the pion has a mass the transition is smooth. The nucleon and meson masses as a functions of density and temperature are discussed.

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“…Fortunately, it is possible to achieve these objectives with mean fields computed at the tree level. Originally motivated by the gluonic trace anomaly in QCD, a model incorporating a heavy glueball field was devised which replaced the chiral "sombrero" potential with a logarithmic one [15,16]. For our purposes, it will be sufficient to "freeze" the glueball field at its vacuum value, which shall have negligible consequences since the gluon condensate changes only slightly at finite density [17].…”

mentioning

confidence: 99%

The quenching of the axial coupling in nuclear and neutron-star matter

Carter¹,

Prakash²

2002

Physics Letters B

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Using a chirally invariant effective Lagrangian, we calculate the density and isospin dependences of the in-medium axial coupling, g * A , in spatially uniform matter present in core collapse supernovae and neutron stars. The quenching of g * A with density in matter with different proton fractions is found to be similar. However, our results suggest that the quenching of the nucleon's g * A in matter with hyperons is likely to be significantly greater than in matter with nucleons only. PACS: 97.60.Jd, 21.65.+f, 12.39.Fe, 26.60.+c The accurately measured beta decay lifetime of the neutron in vacuum, n → p + e − +ν e , fixes the ratio of the axial and vector couplings of the neutron to be |g A /g V | = 1.2601 ± 0.0025 [1]. Studies of beta decays in nuclei, however, have long suggested that a value of |g A /g V | ≃ 1 better fits the observed systematics [2]. Such a lower value also appears to be consistent with pion-nucleus optical potentials [3] and the systematics of Gamow-Teller resonances in nuclei [4]. Data from muon capture on nuclei, in which the relevant momentum transfer q 2 ≃ −0.9m 2 µ , have been recently analyzed including detailed nuclear structure effects [5] with the conclusion that a quenched g A (assuming g V ∼ = 1) is not necessary inasmuch as the vacuum value of g A adequately accounts for the data.The above experiments measure space-like axial transitions in nuclei. At finite density, however, space-like and time-like axial matrix elements are not necessarily equal, since Lorentz invariance is broken. In fact, there are indications from experiments with first-forbidden β decays of light nuclei that the time-like axial charge increases by about 25% in medium [6]. A theoretical expectation of this enhancement in terms of soft-pion exchanges has been offered in Ref. [7].The space-like quenching of g A in nuclei at low momentum transfers has been attributed to a combination of effects, including the partial restoration of chiral symmetry in a nuclear medium, the direct participation of the ∆(1232) in renormalizing the in-medium axial-vector current, and tensor correlations in nuclei in which shell structure effects are important [3]. An illuminating discussion of the extent to which the quenching phenomenon is intrinsic to the basic property of the "vacuum" defined by a baryon-rich medium has been given by Rho (cf. Ref. [8] and references therein). Later discussions of the quenching phenomenon in chiral approaches to spatially uniform matter can be found in Ref. [9]. The issue of breaking and restoring fundamental symmetries at large baryon density is presently intractable in lattice gauge simulations. We therefore employ an effective field-theoretical approach, based upon chiral symmetry, to consider medium modifications of the nucleon's axial coupling.The precise value of the in-meidum axial coupling, denoted by g * A hereafter, in the dense matter encountered in astrophysical phenomena such as core collapse supernovae and neutron stars is crucially important. In these cases, weak interactio...

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Goldstone bosons and scalar gluonium

Cited by 49 publications

References 12 publications

Trace anomaly and chiral symmetry breaking scale in the Nambu and Jona-Lasinio model

Trace anomaly and chiral symmetry breaking scale in the Nambu and Jona-Lasinio model

An effective lagrangian with broken scale and chiral symmetry IV: Nucleons and mesons at finite temperature

The quenching of the axial coupling in nuclear and neutron-star matter

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