In-medium spectral functions of vector- and axial-vector mesons from the functional renormalization group

Jung, C.; Rennecke, Fabian; Tripolt, Ralf-Arno; Smekal, Lorenz von; Wambach, J.

doi:10.1103/physrevd.95.036020

Cited by 82 publications

(115 citation statements)

References 56 publications

(75 reference statements)

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“…Thus, in our numerical calculations we first calculate ω 0,k as a function of φ. Then the resultant ω 0,k (φ) will be used in the FRG evolution equation (16) …”

Section: B Frg Flow Equationmentioning

confidence: 99%

“…There are also studies for the vector (ρ) and axial-vector (a 1 ) fluctuations in the isovector channels [14][15][16]. On the other hand, to the best of our knowledge, the ω-fluctuations were taken into account only in the context of the Walecka type nucleon-σ-ω models whose main target is the nuclear matter at low temperature and density [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Functional renormalization group study of the quark-meson model with ω meson

et al. 2017

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We study the phase diagram of two-flavor massless QCD at finite baryon density by applying the functional renormalization group (FRG) for a quark-meson model with σ, π, and ω mesons. The dynamical fluctuations of quarks, σ, and π are included in the flow equations, while the amplitudes of ω fields are also allowed to fluctuate. At high temperature the effects of the ω field on the phase boundary are qualitatively similar to the mean-field calculations; the phase boundary is shifted to the higher chemical potential region. As the temperature is lowered, however, the transition line bends back to the lower chemical potential region, irrespective to the strength of the vector coupling. In our FRG calculations, the driving force of the low temperature first order line is the fluctuations rather than the quark density, and the effects of ω fields have little impact. At low temperature, the effective potential at small σ field is very sensitive to the infrared cutoff scale, and this significantly affects our determination of the phase boundaries. The critical chemical potential at the tricritical point is affected by the ω-field effects but its critical temperature stays around the similar value. Some caveats are given in interpreting our model results.

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“…Thus, in our numerical calculations we first calculate ω 0,k as a function of φ. Then the resultant ω 0,k (φ) will be used in the FRG evolution equation (16) …”

Section: B Frg Flow Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Functional renormalization group study of the quark-meson model with ω meson

et al. 2017

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show abstract

“…In this paper we compute the in-medium spectral functions of vector and axial-vector mesons in an extended linear sigma model with quarks as a chiral low-energy effective theory for two-flavor QCD. As in a previous study [14] we employ the functional renormalization group (FRG) as the non-perturbative computational framework to include fluctuations beyon mean-field approximations. The FRG has proven to be a powerful tool in diverse areas of physics, see [15][16][17][18][19] for reviews.…”

Section: Introductionmentioning

confidence: 99%

“…Extending the previous study of aFRG flows for vector and axial-vector meson spectral functions [14], in this paper we include the contributions from the (axial-)vector mesons themselves to these aFRG flows. The structure of the propagators for the massive (axial-)vector fields of the effective theory is thereby fixed via current-field identities, i.e.…”

Section: Introductionmentioning

confidence: 99%

Fluctuating vector mesons in analytically continued functional RG flow equations

Jung

Smekal

2019

Phys. Rev. D

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In this work we study contributions due to vector and axial-vector meson fluctuations to their in-medium spectral functions in an effective low-energy theory inspired by the gauged linear sigma model. In particular, we show how to describe these fluctuations in the effective theory by massive (axial-)vector fields in agreement with the known structure of analogous single-particle or resonance contributions to the corresponding conserved currents. The vector and axial-vector meson spectral functions are then computed by numerically solving the analytically continued functional renormalization group (aFRG) flow equations for their retarded two-point functions at finite temperature and density in the effective theory. We identify the new contributions that arise due to the (axial-)vector meson fluctuations, and assess their influence on possible signatures of a QCD critical endpoint and the restoration of chiral symmetry in thermal dilepton spectra.

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“…There are also studies for the vector (ρ) and axial-vector (a 1 ) fluctuations in the isovector channels [12][13][14]. On the other hand, to the best of our knowledge, the ω-fluctuations were taken into account only in the context of the Walecka type nucleon-σ -ω models whose main target is the nuclear matter at low temperature and density [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Functional renormalization group study on the phase structure in the Quark-Meson model with ω meson

Hou¹,

Qin²,

Kojo³

et al. 2018

Proceedings of Critical Point and Onset of Deconfinement — PoS(CPOD2017)

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In this contribution, We report our recent functional renormalization group (FRG) study on the phase diagram of two-flavor massless QCD at finite baryon density in a quark-meson model with σ , π, and ω mesons. The dynamical fluctuations of quarks, σ , and π are included into the flow equations, while the amplitudes of ω-fields are also allowed to fluctuate. At high temperature the effects of the ω-field on the phase boundary are qualitatively similar to the mean-field calculations; the phase boundary is shifted to the higher chemical potential region. As the temperature is lowered, however, the transition line bends back to the lower chemical potential region, irrespective to the strength of the vector coupling. In our FRG calculations, the driving force of the low temperature first order line is the fluctuations rather the quark density, and the effects of ω-fields have little impact. At low temperature, the effective potential at small σ field is very sensitive to the infrared cutoff scale, and this significantly affects our determination of the phase boundaries. The critical chemical potential at the tricritical point is affected by the ω-field effects but its critical temperature stays around the similar value.Some caveats are given in interpreting our model results.

show abstract

In-medium spectral functions of vector- and axial-vector mesons from the functional renormalization group

Cited by 82 publications

References 56 publications

Functional renormalization group study of the quark-meson model with ω meson

Functional renormalization group study of the quark-meson model with ω meson

Fluctuating vector mesons in analytically continued functional RG flow equations

Functional renormalization group study on the phase structure in the Quark-Meson model with ω meson

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