Bag formation in a chiral model

Gomm, Harald; Jain, Pankaj; Johnson, R. P.; Schechter, J.

doi:10.1103/physrevd.33.3476

Cited by 58 publications

(55 citation statements)

References 32 publications

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“…To estimate the effects of scalar mesons in a purely pseudoscalar model, we start from an Nℓσ model in which a scalar σ meson has been introduced as a dilaton [19], [41] [42]. This model contains two parameters, the glueball condensate C G ≃ (300MeV ) 4 [43] and the glueball mass m G ≃ 1200MeV leading to a scalar meson mass m σ = 1209MeV .…”

Section: Contributions From Scalar Mesonsmentioning

confidence: 99%

Quantum corrections to baryon properties in chiral soliton models

Meier¹,

Walliser²

1997

Physics Reports

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Chiral lagrangians as effective field theories of QCD are successfully applied to meson physics at low energies in the framework of chiral perturbation theory. Because of their nonlinear structure these lagrangians allow for static soliton solutions which may be interpreted as baryons. Their semiclassical quantization, which provides the leading order in an 1/N C expansion (N C is the number of colors) turned out to be insufficient in many cases to obtain good agreement with empirical baryon observables. However with N C = 3, large corrections are expected in the next-to-leading order which is carried by pionic fluctuations around the soliton background. The calculation of these corrections requires renormalization to 1-loop of the underlying field theory. We present a procedure to calculate the 1-loop contributions for a variety of baryonic observables. In contrast to chiral perturbation theory, terms with an arbitrary number of gradients may in principle contribute and the restriction to low chiral orders can only be justified by the investigation of the scale independence of the results. The results generally give the right sign and magnitude to reduce the discrepancy between theory and experiment with one exception: the axial quantities. These suffer from the fact that the underlying current algebra mixes different N C orders, which suggests a large and positive next-to-next-to-leading order contribution, which is probably sufficient to close the gap to experiment.

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Section: Contributions From Scalar Mesonsmentioning

confidence: 99%

Quantum corrections to baryon properties in chiral soliton models

Meier¹,

Walliser²

1997

Physics Reports

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“…(2). Following the suggestion of Campbell et al [3] χ 0 can be regarded as an effective order parameter for the deconfining phase transition.…”

Section: Introductionmentioning

confidence: 99%

“…In order to mimic the trace anomaly in an effective framework one introduces a scalar (J P C = 0 ++ ) dilaton field χ with scaling dimension one and a logarithmic potential with coupling h of the form [1,2] …”

Section: Introductionmentioning

confidence: 99%

Finite-temperature gluon condensate with renormalization group flow equations

2002

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Within a self-consistent proper-time Renormalization Group (RG) approach we investigate an effective QCD trace anomaly realization with dilatons and determine the finite-temperature behavior of the gluon condensate. Fixing the effective model at vanishing temperature to the glueball mass and the bag constant a possible gluonic phase transition is explored in detail. Within the RG framework the full non-truncated dilaton potential analysis is compared with a truncated potential version.

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“…One can easily see that the solutions of the identity map f (µ) = µ with χ(µ) = 0 are the solutions of the above Euler equations for any radius, L. They are the delocalized solutions with no bag formation [12].…”

mentioning

confidence: 99%

“…Gomm, et al [12] studied the bag formation in the Skyrme model using the effective Lagrangian in flat space, R 3 , defined as…”

mentioning

confidence: 99%

Phase transitions of dense hadronic matter in an extended Skyrme model onS3

1996

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We study the characteristics of the QCD phase transitions in dense hadronic matter using the Skyrme model constructed on S 3 . We find numerically the localized solutions on S 3 using the extended Skyrme model which implements correctly the scale symmetry of QCD. The transition from the localized phase to the delocalized phase is found to be of first order at the critical radius of the hypersphere, L c . The chiral restoration and the gluon decondensation also take place at the same critical size.

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Bag formation in a chiral model

Cited by 58 publications

References 32 publications

Quantum corrections to baryon properties in chiral soliton models

Quantum corrections to baryon properties in chiral soliton models

Finite-temperature gluon condensate with renormalization group flow equations

Phase transitions of dense hadronic matter in an extended Skyrme model onS3

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