Chiral spin symmetry and the QCD phase diagram

Glozman, L. Ya.; Philipsen, Owe; Pisarski, Robert D.

doi:10.48550/arxiv.2204.05083

Cited by 4 publications

(4 citation statements)

References 77 publications

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“…In ref. [63] it was discussed how this chiral spin symmetric band smoothly extends to finite baryon density, where it may connect to quarkyonic matter in the cold and dense regime [64,65], which is expected to contain chirally symmetric (parity-doubled) baryons. In this context, it would be most interesting to extend the present study to lattice correlators evaluated at imaginary baryon chemical potential, which can be computed without a sign problem, and understand the influence of small baryon densities on the spectral functions.…”

Section: Dynamical Implicationsmentioning

confidence: 99%

Pion spectral properties above the chiral crossover of QCD

Lowdon

Philipsen

2022

J. High Energ. Phys.

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Spectral functions encode a wealth of information about the dynamics of any given system, and the determination of their non-perturbative characteristics is a long-standing problem in quantum field theory. Whilst numerical simulations of lattice QCD provide ample data for various Euclidean correlation functions, the inversion required to extract spectral functions is an ill-posed problem. In this work, we pursue previously established constraints imposed by field locality at finite temperature T, namely that spectral functions possess a non-perturbative representation which generalises the well-known Källén-Lehmann spectral form to T > 0. Using this representation, we analyse lattice QCD data of the spatial pseudo-scalar correlator in the temperature range 220–960 MeV, and obtain an analytic expression for the corresponding spectral function, with parameters fixed by the data. From the structure of this spectral function we find evidence for the existence of a distinct pion state above the chiral pseudo-critical temperature Tpc, and contributions from its first excitation, which gradually melt as the temperature increases. As a non-trivial test, we find that the extracted spectral function reproduces the corresponding temporal lattice correlator data for T = 220 MeV.

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Section: Dynamical Implicationsmentioning

confidence: 99%

Pion spectral properties above the chiral crossover of QCD

Lowdon

Philipsen

2022

J. High Energ. Phys.

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“…Chiral spin symmetry has been recently shown to emerge in a temperature range of T /T ch = 2 − 3 with chiral crossover temperature T ch [31], in which the new symmetry manifests itself in the nucleon parity doublet. Its phenomenological consequences via parity doubling will be explored in the domain of dense QCD.…”

Section: Discussionmentioning

confidence: 99%

Anomaly-induced Chiral Mixing in Cold and Dense Matter

Sasaki

2022

Preprint

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We construct the spectral functions for light vector mesons at finite density and temperature in the presence of a novel mixing between parity partners, induced by baryon density via the Wess-Zumino-Witten action. As the main origin of in-medium broadening, a set of baryon resonances that strongly couple to the vector mesons and the modifications of kaons and anti-kaons due to the Kaplan-Nelson term will be included. It is shown that the vector spectra, even with the broadening effects, exhibit sizable signatures of chiral symmetry restoration thanks to the chiral mixing depending on threemomenta carried by the vector mesons. Those spectral functions are used to calculate the integrated production rates of lepton pairs, and a proper binning in momenta and potential decrease in the vector-meson masses due to chiral symmetry restoration are discussed in quantifying the signatures.

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“…Is there an emergent chiral spin symmetry at large µ B ? One can speculate whether the extended SU (2) CS × SU (4) for N f = 2 (u, d) quarks which is likely to emerge at small µ B beyond T pc χ [18] is also present at large µ B [34]. In Ref.…”

Section: Phase Diagrammentioning

confidence: 97%

Baryon-rich QCD matter

Wambach

2023

J. Phys.: Conf. Ser.

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Properties of high-density strong-interaction matter of relevance for astrophysical scenarios that involve neutron stars are discussed. It is argued that theoretical and experimental insights from the small baryo-chemical potential (µB ) and high-temperature regions of the QCD phase diagram can guide realistic model building at high density, as this regime is currently not accessible to first-principles numerical calculations of the QCD partition function. Special attention is payed to the chiral properties of high-density matter and the nature of a possible first-order chiral phase transition. In this transition hadronic parity-partners, in particular baryons, become spectrally degenerate with finite (pole) masses, as expected from general insight into the mass generation in QCD. Possible signals in heavy-ion dielectron production at beam energies of a few GeV are discussed. Based on evidence for an emergent ”chiral spin symmetry” above the pseudo-critical chiral transition temperature at small µB , speculations on the physical state of dense hadronic matter beyond the chiral phase transition are presented.

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Chiral spin symmetry and the QCD phase diagram

Cited by 4 publications

References 77 publications

Pion spectral properties above the chiral crossover of QCD

Pion spectral properties above the chiral crossover of QCD

Anomaly-induced Chiral Mixing in Cold and Dense Matter

Baryon-rich QCD matter

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