Equation of state and speed of sound of isospin-asymmetric QCD on the lattice

Abstract We determine the QCD equation of state at nonzero temperature in the presence of an isospin asymmetry between the light quark chemical potentials on the lattice. Our simulations employ N f = 2 + 1 flavors of dynamical staggered quarks at physical masses, using three different lattice spacin...

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Main Authors: B. B. Brandt, F. Cuteri, G. Endrődi
Format: Article
Language:English
Published: SpringerOpen 2023-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2023)055
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author B. B. Brandt
F. Cuteri
G. Endrődi
author_facet B. B. Brandt
F. Cuteri
G. Endrődi
author_sort B. B. Brandt
collection DOAJ
description Abstract We determine the QCD equation of state at nonzero temperature in the presence of an isospin asymmetry between the light quark chemical potentials on the lattice. Our simulations employ N f = 2 + 1 flavors of dynamical staggered quarks at physical masses, using three different lattice spacings. The main results, obtained at the individual lattice spacings, are based on a two-dimensional spline interpolation of the isospin density, from which all relevant quantities can be obtained analytically. In particular, we present results for the pressure, the interaction measure, the energy and entropy densities, as well as the speed of sound. Remarkably, the latter is found to exceed its ideal gas limit deep in the pion condensed phase, the first account of the violation of this limit in first principles QCD. Finally, we also compute the phase diagram in the temperature — isospin density plane for the first time. Even though the results are not continuum extrapolated and thus not final, the data for all observables will be useful for the benchmarking of effective theories and low-energy models of QCD and are provided in ancillary files for simple reuse.
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spelling doaj.art-46cd93d4e7b34ff38d3931d2484fc18b2023-10-29T12:09:17ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023713210.1007/JHEP07(2023)055Equation of state and speed of sound of isospin-asymmetric QCD on the latticeB. B. Brandt0F. Cuteri1G. Endrődi2Fakultät für Physik, Universität BielefeldInstitut für Theoretische Physik, Goethe-Universität Frankfurt am MainFakultät für Physik, Universität BielefeldAbstract We determine the QCD equation of state at nonzero temperature in the presence of an isospin asymmetry between the light quark chemical potentials on the lattice. Our simulations employ N f = 2 + 1 flavors of dynamical staggered quarks at physical masses, using three different lattice spacings. The main results, obtained at the individual lattice spacings, are based on a two-dimensional spline interpolation of the isospin density, from which all relevant quantities can be obtained analytically. In particular, we present results for the pressure, the interaction measure, the energy and entropy densities, as well as the speed of sound. Remarkably, the latter is found to exceed its ideal gas limit deep in the pion condensed phase, the first account of the violation of this limit in first principles QCD. Finally, we also compute the phase diagram in the temperature — isospin density plane for the first time. Even though the results are not continuum extrapolated and thus not final, the data for all observables will be useful for the benchmarking of effective theories and low-energy models of QCD and are provided in ancillary files for simple reuse.https://doi.org/10.1007/JHEP07(2023)055Non-Zero Temperature and DensityPhase Diagram or Equation of StateEarly Universe Particle PhysicsPhase Transitions
spellingShingle B. B. Brandt
F. Cuteri
G. Endrődi
Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
Journal of High Energy Physics
Non-Zero Temperature and Density
Phase Diagram or Equation of State
Early Universe Particle Physics
Phase Transitions
title Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
title_full Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
title_fullStr Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
title_full_unstemmed Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
title_short Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
title_sort equation of state and speed of sound of isospin asymmetric qcd on the lattice
topic Non-Zero Temperature and Density
Phase Diagram or Equation of State
Early Universe Particle Physics
Phase Transitions
url https://doi.org/10.1007/JHEP07(2023)055
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