Generalized linear sigma model with two glueballs

Fariborz, Amir H.; Jora, Renata

doi:10.1103/physrevd.98.094032

Cited by 9 publications

(19 citation statements)

References 111 publications

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“…For a scalar and pseudoscalar Lagrangian of the type in Eq. (36) but also contains scalar and pseudoscalar glueballs, the trace anomaly reads [20]…”

Section: Application To a Generalized Linear Sigma Modelmentioning

confidence: 99%

“…Moreover, we fixed the transformation law for the field M ′ to correspond to the correct axial anomaly. A detailed discussion of the most general structure of the possible terms that mock up the scale and trace anomalies is given in [20]. Here, we will present a first-order term that leads to the correct conservation law…”

Section: Application To a Generalized Linear Sigma Modelmentioning

confidence: 99%

“…In [20], an effective generalized linear sigma model that contained both scalar and pseudoscalar glueballs was introduced. There, H and G were introduced separately as individual states.…”

Section: Proposal For a Lagrangian Containing A Complex Glueball Fieldmentioning

confidence: 99%

“…In Section 4, we will show how this approach makes total sense for a low-energy QCD linear sigma model with two chiral nonets, the model is discussed in detail in [13][14][15][16][17][18][19][20]. Section 5 is dedicated to conclusions.…”

Section: Introductionmentioning

confidence: 99%

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Trace and Axial Anomalies on Equal Footing

Jora

2020

Advances in High Energy Physics

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We discussed that for some particular nonsupersymmetric theories, a generalized symmetry that includes both the scale and axial transformations and leads to a single current may contain also a pseudoscalar term. The method, inspired by the superconformal anomalies, has important application for low-energy effective models where it allows the introduction of a single complex glueball field with a scalar and a pseudoscalar component on the same footing with the complex meson nonet fields made of quarks. Both axial and trace anomalies are satisfied in accordance to the meson structure and the QCD requirements.

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“…For a scalar and pseudoscalar Lagrangian of the type in Eq. (36) but also contains scalar and pseudoscalar glueballs, the trace anomaly reads [20]…”

Section: Application To a Generalized Linear Sigma Modelmentioning

confidence: 99%

Section: Application To a Generalized Linear Sigma Modelmentioning

confidence: 99%

“…In [20], an effective generalized linear sigma model that contained both scalar and pseudoscalar glueballs was introduced. There, H and G were introduced separately as individual states.…”

Section: Proposal For a Lagrangian Containing A Complex Glueball Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Trace and Axial Anomalies on Equal Footing

Jora

2020

Advances in High Energy Physics

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“…Recently [57], the generalized linear sigma model was extended to include two glueballs (a scalar and a pseudoscalar glueball). In [57], the most general Lagrangian was formally developed that includes, in addition to chiral symmetry (and its spontaneous and explicit breakdown), terms that represent interaction of glueballs with chiral nonets in a manner that exactly realizes the axial and trace anomalies of QCD.…”

Section: Introductionmentioning

confidence: 99%

Spinless mesons and glueballs mixing patterns in SU(3) flavor limit

Fariborz,

Lyukova

2021

Preprint

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We present a detailed study of the interactions among scalar and pseudoscalar mesons and glueballs within the framework of the generalized linear sigma model in the SU(3) flavor limit. The basis of our approach is to develop a global understanding of light scalar and pseudoscalar mesons (up to around 2 GeV) and thereby explore the underlying mixings among composite quark matter fields and glueballs. The chiral sector of the Lagrangian is formulated in terms of two chiral nonets representing quark-antiquarks and tetraquarks (in the leading order, this sector contains terms with eight or fewer number of quak or antiquark lines). The Lagrangian also contains a sector that represents scalar and pseudoscalar glueballs and their interactions with the matter chiral fields, in a manner that the axial and trace anomalies of QCD are exactly realized. In this construct, the model has two scalar octets and two pdeudoscalar octets (each a linear combination of two-and four-quark components), as well as three scalar SU(3) singlets and three pseudoscalar SU(3) singlets (each a linear combination of two-and four-quark components as well as a glueball component). With the inputs of the experimental masses of a0(980), a0(1450), and the masses of π(137), π(1300) and their decay constants, we perform an extensive numerical simulation to determine the boundaries of the parameter space of the model. We further incorporate experimental data on the mass spectrum of eta states as well as on several decay widths and decay ratios of f0 states to zoom in on the parameter space and make predictions for the substructure of pseudoscalar and scalar SU(3) octets and singlets as well as for the pseudoscalar and scalar glueball masses. We find the scalar and pseudoscalar glueball masses around 1.6 and 2.0 GeV, respectively.

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Spinless mesons and glueballs mixing patterns in SU(3) flavor limit

Fariborz

Lyukova

2021

Nuclear Physics A

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Generalized linear sigma model with two glueballs

Cited by 9 publications

References 111 publications

Trace and Axial Anomalies on Equal Footing

Trace and Axial Anomalies on Equal Footing

Spinless mesons and glueballs mixing patterns in SU(3) flavor limit

Spinless mesons and glueballs mixing patterns in SU(3) flavor limit

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