Functional renormalization group study of the chiral phase transition including vector and axial-vector mesons

Eser, Jürgen; Grahl, Mara; Rischke, Dirk H.

doi:10.1103/physrevd.92.096008

Cited by 40 publications

(36 citation statements)

References 119 publications

(182 reference statements)

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“…where λ The low-mode reweighting (17) corresponds to introducing an extra ultraviolet modification to the fermion determinant ratio (13). However, its modification does not distort the continuum limit since D…”

Section: Dmentioning

confidence: 99%

Evidence of effective axialU(1)symmetry restoration at high temperature QCD

et al. 2017

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We study the axial U (1) symmetry at finite temperature in two-flavor lattice QCD. Employing the Möbius domain-wall fermions, we generate gauge configurations slightly above the critical temperature T c with different lattice sizes L = 2-4 fm. Our action allows frequent topology tunneling while keeping good chiral symmetry close enough to that of overlap fermions. This allows us to recover full chiral symmetry by an overlap/domain-wall reweighting. Above the phase transition, a strong suppression of the low-lying modes is observed in both of overlap and domainwall Dirac spectra. We, however, find a sizable violation of the Ginsparg-Wilson relation in the Möbius domain-wall Dirac eigenmodes, which dominates the signals of the axial U (1) symmetry breaking near the chiral limit. We also find that the use of overlap fermion only in the valence sector is dangerous since it suffers from the artifacts due to partial quenching. Reweighting the Möbius domain-wall fermion determinant to that of the overlap fermion, we observe the axial U (1) breaking to vanish in the chiral limit, which is stable against the changes of the lattice volume and lattice spacing.2

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Section: Dmentioning

confidence: 99%

Evidence of effective axialU(1)symmetry restoration at high temperature QCD

et al. 2017

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“…Nevertheless, in the real world with massive quarks, nontrivial gauge configurations cause, in general, a nonzero Uð1Þ A breaking to be present [18], even though Uð1Þ A partners could be approximately degenerate. Later effective models and renormalization group approaches to this problem can be found in [8][9][10][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Patterns and partners for chiral symmetry restoration

Nicola

Elvira

2018

Phys. Rev. D

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We present and analyze a new set of Ward Identities which shed light on the distinction between different patterns of chiral symmetry restoration in QCD, namely Oð4Þ vs Oð4Þ × Uð1Þ A . The degeneracy of chiral partners for all scalar and pseudoscalar meson nonet members is studied through their corresponding correlators. Around chiral symmetry degeneration of Oð4Þ partners, our analysis predicts that Uð1Þ A partners are also degenerated. Our analysis also leads to I ¼ 1=2 scalar-pseudoscalar partner degeneration at exact chiral restoration and supports ideal mixing between the η-η 0 and the f 0 ð500Þ-f 0 ð980Þ mesons at Oð4Þ × Uð1Þ A restoration, with a possible range where the pseudoscalar mixing vanishes if the two transitions are well separated. We test our results with lattice data and provide further relevant observables regarding chiral and Uð1Þ A restoration for future lattice and model analyses.

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“…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%

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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Functional renormalization group study of the chiral phase transition including vector and axial-vector mesons

Cited by 40 publications

References 119 publications

Evidence of effective axialU(1)symmetry restoration at high temperature QCD

Evidence of effective axialU(1)symmetry restoration at high temperature QCD

Patterns and partners for chiral symmetry restoration

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

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