Symmetries of hadrons after unbreaking the chiral symmetry

Glozman, L. Ya.; Lang, C. B.; Schröck, Mario

doi:10.1103/physrevd.86.014507

Cited by 76 publications

(85 citation statements)

References 62 publications

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“…This confirms the mechanism through which chiral symmetry is realized in the parity doublet model. Rather than yielding vanishing masses in the chiral limit the baryon masses become degenerate at m ± = m 0 , as observed in the lattice QCD simulations upon chiral symmetry restoration [17][18][19].…”

Section: A Extended Mean-fieldmentioning

confidence: 77%

Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

2015

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We consider a chiral baryon-meson model for nucleons and their parity partners in mirror assignment interacting with pions, sigma and omega mesons to describe the liquid-gas transition of nuclear matter together with chiral symmetry restoration in the high density phase. Within the mean-field approximation the model is known to provide a phenomenologically successful description of the nuclear-matter transition. Here, we go beyond this approximation and include mesonic fluctuations by means of the functional renormalization group. While these fluctuations do not lead to major qualitative changes in the phase diagram of the model, beyond mean-field, one is no-longer free to adjust the parameters so as to reproduce the binding energy per nucleon, the nuclear saturation density, and the nucleon sigma term all at the same time. However, the prediction of a clear first-order chiral transition at low temperatures inside the high baryon-density phase appears to be robust.

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Section: A Extended Mean-fieldmentioning

confidence: 77%

Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

2015

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“…It is possible that exotic hadron states can explain the discrepancy between the lattice results and hadron resonance gas model for T > 140 MeV. Another possibility could be the partial restoration of the chiral symmetry and the corresponding change in the static-light hadron masses, as indicated in a recent lattice study [41].…”

Section: Comparison With Lattice Resultsmentioning

confidence: 99%

Polyakov loop in2+1flavor QCD

2013

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We study the temperature dependence of the renormalized Polyakov loop in 2+1 flavor QCD for temperatures T < 210 MeV. We extend previous calculations by the HotQCD collaboration using the highly improved staggered quark action and perform a continuum extrapolation of the renormalized Polyakov loop. We compare the lattice results with the prediction of non-interacting static-light hadron resonance gas, which describes the temperature dependence of the renormalized Polyakov loop up to T < 140 MeV but fails above that temperature. Furthermore, we discuss the temperature dependence of the light and strange quark condensates.

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“…It was found that this dependence significantly deviates from the expectation M ∝ N 0 c and Γ ∝ 1/N c for pure qq structure [24]. The chiral properties and issues related to chiral restoration were considered for example in [25,26].…”

Section: Jhep04(2014)162mentioning

confidence: 99%

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

Lang

Leskovec

Mohler

et al. 2014

J. High Energ. Phys.

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Abstract:The light axial-vector resonances a 1 (1260) and b 1 (1235) are explored in N f = 2 lattice QCD by simulating the corresponding scattering channels ρπ and ωπ. Interpolating fields qq and ρπ or ωπ are used to extract the s-wave phase shifts for the first time. The ρ and ω are treated as stable and we argue that this is justified in the considered energy range and for our parameters m π ≃ 266 MeV and L ≃ 2 fm. We neglect other channels that would be open when using physical masses in continuum. Assuming a resonance interpretation a Breit-Wigner fit to the phase shift gives the a 1 (1260) resonance mass m res a 1 = 1.435(53)( +0 −109 ) GeV compared to m exp a 1 = 1.230(40) GeV. The a 1 width Γ a 1 (s) ≡ g 2 p/s is parametrized in terms of the coupling and we obtain g a 1 ρπ = 1.71(39) GeV compared to g exp a 1 ρπ = 1.35(30) GeV derived from Γ exp a 1 = 425(175) MeV. In the b 1 channel, we find energy levels related to π(0)ω(0) and b 1 (1235), and the lowest level is found at E 1 m ω + m π but is within uncertainty also compatible with an attractive interaction. Assuming the coupling g b 1 ωπ extracted from the experimental width we estimate m res b 1 = 1.414(36) +0 −83 .

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Symmetries of hadrons after unbreaking the chiral symmetry

Cited by 76 publications

References 62 publications

Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

Chiral mirror-baryon-meson model and nuclear matter beyond mean-field approximation

Polyakov loop in2+1flavor QCD

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

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