Dynamics of the $O(4)$ critical point in QCD

Florio, Adrien; Grossi, Eduardo; Soloviev, Alexander; Teaney, Derek

doi:10.48550/arxiv.2111.03640

Cited by 8 publications

(13 citation statements)

References 34 publications

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“…Our findings may be of general relevance for chiral symmetry breaking in QCD and its incarnation at small but finite quark masses [41,[48][49][50]. Other possible extensions of our results regard the phenomenology of vortices in superfluids [30] and ordered phases, such as charge-density waves [51] in the context of translational symmetry breaking.…”

Section: Introductionsupporting

confidence: 59%

Pseudo-spontaneous U(1) symmetry breaking in hydrodynamics and holography

Ammon

Areán

Baggioli

et al. 2022

J. High Energ. Phys.

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We investigate the low-energy dynamics of systems with pseudo-spontaneously broken U(1) symmetry and Goldstone phase relaxation. We construct a hydrodynamic framework which is able to capture these, in principle independent, effects. We consider two generalisations of the standard holographic superfluid model by adding an explicit breaking of the U(1) symmetry by either sourcing the charged bulk scalar or by introducing an explicit mass term for the bulk gauge field. We find agreement between the hydrodynamic dispersion relations and the quasi-normal modes of both holographic models. We verify that phase relaxation arises only due to the breaking of the inherent Goldstone shift symmetry. The interplay of a weak explicit breaking of the U(1) and phase relaxation renders the DC electric conductivity finite but does not result in a Drude-like peak. In this scenario we show the validity of a universal relation, found in the context of translational symmetry breaking, between the phase relaxation rate, the mass of the pseudo-Goldstone and the Goldstone diffusivity.

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Section: Introductionsupporting

confidence: 59%

Pseudo-spontaneous U(1) symmetry breaking in hydrodynamics and holography

Ammon

Areán

Baggioli

et al. 2022

J. High Energ. Phys.

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“…Instead, it is the presence of quasi-massless modes which allows for the use of chiral transport models or chiral fluid dynamics, e.g. [82][83][84][85]. These transport models require QCD input, most prominently in terms of the full dispersion, see [82] for first steps in this direction, and the full interaction.…”

Section: Discussionmentioning

confidence: 99%

“…The presence of the latter is relevant for the reliability of chiral models used for heavy ion phenomenology, and in particular for chiral transport, e.g. [82][83][84][85]. Trivially, massless modes and chiral symmetry is present in the critical scaling regime close the the chiral limit.…”

Section: Quasi-massless Modes and Chiral Expansionsmentioning

confidence: 99%

Phase structure of 2+1-flavour QCD and the magnetic equation of state

Gao,

Pawlowski

2021

Preprint

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We determine the chiral phase structure of 2 + 1-flavour QCD in dependence of temperature and the light flavour quark mass with Dyson-Schwinger equations. Specifically, we compute the renormalised chiral condensate and its susceptibility. The latter is used to determine the (pseudo)critical temperature for general light current quark masses. In the chiral limit we obtain a critical temperature of about 141 MeV. This result is in quantitative agreement with recent functional renormalisation group results in QCD, and is compatible with the respective lattice results. We also compute the order parameter potential of the light chiral condensate and map out the regime in the phase diagram which exhibits quasi-massless modes, and discuss the respective chiral dynamics.

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“…In the QCD phase diagram a particularly interesting point is the conjectured critical end point (CEP) which is an end point of first order phase transition line. A lot of theoretical studies has been carried out to find the possible signatures of CEP [18][19][20][21][22][23][24][25][26][27][28][29][30] and on the experimental side, the Beam Energy Scan (BES) program has been devoted at the Super Proton Synchrotron (SPS) and at the Relativistic Heavy Ion Collider (RHIC) to search for possible signatures of the CEP [31,32].…”

Section: Introductionmentioning

confidence: 99%

Dynamic density correlations in a baryon rich fluid using Mori-Zwanzig projection operator method

Kadam

2022

Preprint

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In this work we calculate the dynamic density correlations using Mori-Zwanzig projection operator method. With a judicious choice of slow variables we derive the evolution equations for these slow variables starting from generalised Langevin equation. We get the hydrodynamic form of density correlations function which consist of two acoustic peaks: also called Brillouin peaks, and one thermal peak: also called Rayleigh peak. We then estimate the dynamic density correlations near the critical point using critical exponents extracted from the statistical bootstrap model of hadronic matter. We find that the bulk viscosity contributes to the sound attenuation at leading order ∼ |t| − 5 4 while the thermal conductivity contribute at sub-leading order ∼ |t| − 3 4 . On the other hand, only the thermal conductivity contributes at leading order ∼ |t| 1 4 to the thermal diffusivity. We discuss the implications of these results in search for QCD critical point in the heavy-ion collision experiments.

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Dynamics of the $O(4)$ critical point in QCD

Cited by 8 publications

References 34 publications

Pseudo-spontaneous U(1) symmetry breaking in hydrodynamics and holography

Pseudo-spontaneous U(1) symmetry breaking in hydrodynamics and holography

Phase structure of 2+1-flavour QCD and the magnetic equation of state

Dynamic density correlations in a baryon rich fluid using Mori-Zwanzig projection operator method

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