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Transport and hydrodynamics in the chiral limit

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arxiv 2005.02885 v2 pith:ZHCWUJZO submitted 2020-05-06 hep-th hep-phnucl-th

Eduardo Grossi , Alexander Soloviev , Derek Teaney , Fanglida Yan This is my paper · ORCID
classification hep-thhep-phnucl-th
keywords distancestheoryanalyzechiraldegreesfreedomhydrodynamichydrodynamics
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We analyze the evolution of hydrodynamic fluctuations for QCD matter below $T_c$ in the chiral limit, where the pions (the Goldstone modes) must be treated as additional non-abelian superfluid degrees of freedom, reflecting the broken $SU_L(2) \times SU_R(2)$ symmetry of the theory. In the presence of a finite pion mass $m_{\pi}$, the hydrodynamic theory is ordinary hydrodynamics at long distances, and superfluid-like at short distances. The presence of the superfluid degrees of freedom then gives specific contributions to the bulk viscosity, the shear viscosity, and diffusion coefficients of the ordinary theory at long distances which we compute. This determines, in some cases, the leading dependence of the transport parameters of QCD on the pion mass. We analyze the predictions of this computation, as the system approaches the $O(4)$ critical point.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector

    hep-th 2026-07 conditional novelty 6.0 of 10

    Isospin-imbalanced strongly coupled dense matter is shown, via holography, to obey non-Abelian hydrodynamic predictions for current correlators up to the chemical-potential scale, beyond the standard ω,k ≪ T regime.

  2. Non-equilibrium dynamics of Goldstone excitation from holography

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Holographic simulations with dynamical pions show a prethermalization stage at non-critical temperatures and a fitted k^2 t scaling, claimed as evidence for a non-thermal fixed point.

  3. Chiral phase transition: effective field theory and holography

    hep-th 2024-12 conditional novelty 5.0 of 10

    A Schwinger-Keldysh effective field theory for the chiral phase transition, with chiral charges and condensate as dynamical variables, is constructed and its coefficients are computed in a modified AdS/QCD model, with...

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