Vacuum properties of mesons in a linear sigma model with vector mesons and global chiral invariance

Parganlija, Denis; Giacosa, Francesco; Rischke, Dirk H.

doi:10.1103/physrevd.82.054024

Cited by 135 publications

(232 citation statements)

References 89 publications

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“…The complications in describing the vacuum spectral functions with MYM and HLS triggered investigations which abandon the local implementation of the gauge group in favor of a global one [25][26][27]. These models have also been extended to include temperature effects; using a loop expansion, a broadening of the ρ spectral peak without a mass shift was found in Ref.…”

Section: Introductionmentioning

confidence: 99%

Massive Yang–Mills for vector and axial-vector spectral functions at finite temperature

Hohler

Rapp

2016

Annals of Physics

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The hadronic mechanism which leads to chiral symmetry restoration is explored in the context of the ρπa1 system using Massive Yang-Mills, a hadronic effective theory which governs their microscopic interactions. In this approach, vector and axial-vector mesons are implemented as gauge bosons of a local chiral gauge group. We have previously shown that this model can describe the experimentally measured vector and axial-vector spectral functions in vacuum. Here, we carry the analysis to finite temperatures by evaluating medium effects in a pion gas and calculating thermal spectral functions. We find that the spectral peaks in both channels broaden along with a noticeable downward mass shift in the a1 spectral peak and negligible movement of the ρ peak. The approach toward spectral function degeneracy is accompanied by a reduction of chiral order parameters, i.e., the pion decay constant and scalar condensate. Our findings suggest a mechanism where the chiral mass splitting induced in vacuum is burned off. We explore this mechanism and identify future investigations which can further test it.

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Section: Introductionmentioning

confidence: 99%

Massive Yang–Mills for vector and axial-vector spectral functions at finite temperature

Hohler

Rapp

2016

Annals of Physics

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“…This is an hadronic model based on chiral symmetry and dilatation invariance together with their explicit and spontaneous breaking. The eLSM, first developed for two flavours [38], has shown to be capable to describe masses and decays of mesons up to 1.7 GeV, as the three-flavour study of Ref. [39] shows.…”

Section: Scalar Glueballmentioning

confidence: 99%

Modelling glueballs

Giacosa

2016

EPJ Web Conf.

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Abstract. Glueballs are predicted in various theoretical approaches of QCD (most notably lattice QCD), but their experimental verification is still missing. In the low-energy sector some promising candidates for the scalar glueball exist, and some (less clear) candidates for the tensor and pseudoscalar glueballs were also proposed. Yet, for heavier gluonic states there is much work to be done both from the experimental and theoretical points of view. In these proceedings, we briefly review the current status of research of glueballs and discuss future developments.

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“…The effective lagrangian of the extended σ model with two flavors contains the following set of operators (see a similar lagrangian in [13,14]),…”

Section: Effective Meson Theories In the Presence Of Chiral Imbalancementioning

confidence: 99%

Decays of Light Mesons Triggered by Chiral Chemical Potential

Andrianov¹,

Andrianov²,

Espriu³

et al. 2017

Acta Phys. Pol. B Proc. Suppl.

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Light meson ( π, σ, a 0 ) properties in the environment with chiral imbalance are analyzed with the help of meson effective lagrangian associated with QCD. New spatial parity violating decays of scalar mesons arise as a result of mixing of π and a 0 mesons under influence of chiral charge density. The pion electromagnetic formfactor gets an unusual parity-odd contribution. Pion effective masses depend on their velocities and may vanish in flight. The possible determination of chiral chemical potential in heavy ion collisions based on above mentioned phenomena is discussed.

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Vacuum properties of mesons in a linear sigma model with vector mesons and global chiral invariance

Cited by 135 publications

References 89 publications

Massive Yang–Mills for vector and axial-vector spectral functions at finite temperature

Massive Yang–Mills for vector and axial-vector spectral functions at finite temperature

Modelling glueballs

Decays of Light Mesons Triggered by Chiral Chemical Potential

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