Elimination of the vacuum instability for finite nuclei in the relativistic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ω</mml:mi></mml:math>model

Caro, J.; Arriola, E. Ruiz; Salcedo, L. L.

doi:10.1103/physrevc.55.1767

Cited by 4 publications

(4 citation statements)

References 26 publications

(43 reference statements)

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“…Intrinsic problems of the perturbative calculations as the ghost poles or the associated vacuum instabilities must be studied, and their implications for the phenomenology clearly stated. Perhaps the association of the procedure adopted in the present work to treat the amplitudes with procedures devoted to the elimination of vacuum instabilities may give us adequate answer to such questions [32]. Having this in mind, it would be interesting to apply the formulation of the NJL model presented here to the SU(3) version.…”

Section: Discussionmentioning

confidence: 99%

Predictive formulation of the Nambu–Jona-Lasinio model

2008

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A novel strategy to handle divergences typical of perturbative calculations is implemented for the Nambu-Jona-Lasinio model and its phenomenological consequences investigated. The central idea of the method is to avoid the critical step involved in the regularization process, namely, the explicit evaluation of divergent integrals. This goal is achieved by assuming a regularization distribution in an implicit way and making use, in intermediary steps, only of very general properties of such regularization. The finite parts are separated from the divergent ones and integrated free from effects of the regularization. The divergent parts are organized in terms of standard objects, which are independent of the (arbitrary) momenta running in internal lines of loop graphs. Through the analysis of symmetry relations, a set of properties for the divergent objects are identified, which we denominate consistency relations, reducing the number of divergent objects to only a few. The calculational strategy eliminates unphysical dependencies of the arbitrary choices for the routing of internal momenta, leading to ambiguity-free, and symmetry-preserving physical amplitudes. We show that the imposition of scale properties for the basic divergent objects leads to a critical condition for the constituent quark mass such that the remaining arbitrariness is removed. The model becomes predictive in the sense that its phenomenological consequences do not depend on possible choices made in intermediary steps. Numerical results are obtained for physical quantities at the one-loop level for the pion and sigma masses and pion-quark and sigmaquark coupling constants.

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Section: Discussionmentioning

confidence: 99%

Predictive formulation of the Nambu–Jona-Lasinio model

2008

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“…A procedure for eliminating such instabilities was presented in Ref. [31]. The significant fact that the model breaks down at length scales 0.2 fm, smaller than the nucleon size, could indicate the emergence of substructure effects.…”

Section: Discussionmentioning

confidence: 99%

“…The approach proposed neglects divergent contributions from the Dirac sea, as it is a common practice in QHD calculations. It must be taken into account that QHD models exhibit vacuum instabilities [29,30,31] which appear for transferred momentum above 2 − 3 GeV [29], when Dirac contributions to the diagram in Fig. 1(c) are included.…”

Section: Discussionmentioning

confidence: 99%

Hadronic matter under an external magnetic field: In-medium modification of the pion mass

Aguirre

2017

Phys. Rev. D

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The covariant propagator of a fermion with intrinsic magnetic moment interacting with a uniform external magnetic field is presented for finite temperature and baryonic density. The case of a scalar boson is also considered. The final expressions are given in terms of a four-dimensional momentum representation. These results, which take account of the full effect of the magnetic field, are used to evaluate the modification of the pion mass at zero temperature as a function of the density and the magnetic intensity. For this purpose a self-consistent calculation, including one-and two-pion vertices, is employed.

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“…Note that, in order to perform this on the lagrangian level, nonperturbative and nonlocal counterterms would have to be added to the theory. However the status of such a counterterms is not clear, cf [47]…”

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confidence: 99%

Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances

2010

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We study in detail various aspects of the renormalization of the spin-1 resonance propagator in the effective field theory framework. First, we briefly review the formalisms for the description of spin-1 resonances in the path integral formulation with the stress on the issue of propagating degrees of freedom. Then we calculate the one-loop 1 −− meson self-energy within the Resonance chiral theory in the chiral limit using different methods for the description of spin-one particles, namely the Proca field, antisymmetric tensor field and the first order formalisms. We discuss in detail technical aspects of the renormalization procedure which are inherent to the power-counting non-renormalizable theory and give a formal prescription for the organization of both the counterterms and one-particle irreducible graphs. We also construct the corresponding propagators and investigate their properties. We show that the additional poles corresponding to the additional one-particle states are generated by loop corrections, some of which are negative norm ghosts or tachyons. We count the number of such additional poles and briefly discuss their physical meaning.

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Elimination of the vacuum instability for finite nuclei in the relativisticσ-ωmodel

Cited by 4 publications

References 26 publications

Predictive formulation of the Nambu–Jona-Lasinio model

Predictive formulation of the Nambu–Jona-Lasinio model

Hadronic matter under an external magnetic field: In-medium modification of the pion mass

Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances

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