Pion pressure in a magnetic field

Hofmann, Christoph P.

doi:10.1103/physrevd.101.114031

Cited by 11 publications

(10 citation statements)

References 68 publications

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“…( 11) for swave interactions is consistent with the results obtained in Refs. [34][35][36]. A similar expression was also obtained in [37] for one-dimensional Fermi gases with three-body s-wave interactions.…”

supporting

confidence: 68%

The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity

Maki,

Zhang

2020

Preprint

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We investigate the role of the effective range on the bulk viscosity of s-and p-wave Fermi gases. At resonance, the presence of the effective range breaks the scale invariance of the system, and hence results in a non-zero bulk viscosity. However, we show that the effective range plays a very different role in the two cases. In the s-wave case, the role of the effective range is perturbative, and its contribution to the bulk viscosity vanishes in the limit of zero effective range. On the other hand, the effective range in p-wave Fermi gases leads to a non-zero bulk viscosity, even in the zero-range limit. We setup the general diagrammatic approach to compute the bulk viscosity spectral function that includes the effects of the effective range. We then compute the analytic expressions for the spectral function in the high temperature limit, at low-and high-frequencies. We also derive the sume rules for the bulk viscosity spectral function for both s-and p-wave gases.

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supporting

confidence: 68%

The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity

Maki,

Zhang

2020

Preprint

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“…In this case, the entropy is no longer conserved resulting in a finite bulk viscosity, ζ. The hydrodynamic viscosity near quantum critical points has been carefully calculated in a number of studies [23][24][25][26], and the results obtained are consistent with the asymptotic analysis based on the breaking of conformal symmetry [19].…”

Section: Entropy Production In Conformal Expansionsupporting

confidence: 55%

Far-Away-From-Equilibrium Quantum Critical Conformal Dynamics: Reversibility, Thermalization, and Hydrodynamics

Maki,

Zhou

2020

Preprint

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Generic far-away-from-equilibrium many-body dynamics usually involve entropy production, and hence are thermodynamically irreversible. Near quantum critical points, an emergent conformal symmetry can impose strong constraints on entropy production rates, and in some cases completely forbid entropy production, which usually occurs for systems that deviate from quantum critical points. In this letter, we illustrate how the vanishing entropy production near a quantum critical point, and at finite temperatures, results in reversible far-away-from-equilibrium dynamics that are otherwise irreversible. Our analysis directly relates the thermalization time scale to the hydrodynamic viscosity near quantum critical points with dynamical critical exponent z = 2. Both controllable reversible and irreversible dynamics can be potentially studied in cold gas experiments.

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“…The two-loop calculation within the framework of two-flavor chiral perturbation theory 3 in the isospin limit m u = m d was performed in Refs. [41,42].…”

Section: A Representation Of the Free Energy Densitymentioning

confidence: 99%

Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics

Hofmann

2021

Preprint

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While it is known that the QCD vacuum in a magnetic background exhibits both diamagnetic and paramagnetic characteristics in the lowenergy domain, a systematic investigation of the corresponding phases emerging in the pion-dominated regime is still lacking. Here, within twoflavor chiral perturbation theory, taking into account the pion-pion interaction, we analyze the subtle interplay between zero-and finite-temperature portions in the magnetization and magnetic susceptibility. The dependence of the magnetic susceptibility on temperature and magnetic field strength in the paramagnetic and diamagnetic phase is non-monotonic. Our low-energy analysis complements lattice QCD that is currently operating at higher temperatures and stronger magnetic fields.

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Pion pressure in a magnetic field

Cited by 11 publications

References 68 publications

The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity

The Role of the Effective Range in Resonantly Interacting Fermi Gases: How Breaking Scale Symmetry Affects the Bulk Viscosity

Far-Away-From-Equilibrium Quantum Critical Conformal Dynamics: Reversibility, Thermalization, and Hydrodynamics

Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics

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