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839129.pdf (2.45 MB)

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2023-12-18

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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/213312

Lattice quantum chromodynamics at large isospin density

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Recurs relacionat

https://doi.org/10.1103/PhysRevD.108.114506

Resum

We present an algorithm to compute correlation functions for systems with the quantum numbers of many identical mesons from lattice quantum chromodynamics (QCD). The algorithm is numerically stable and allows for the computation of 𝑛-pion correlation functions for 𝑛∈{1,…,𝑁} using a single 𝑁×𝑁 matrix decomposition, improving on previous algorithms. We apply the algorithm to calculations of correlation functions with up to 6144 charged pions using two ensembles of gauge field configurations generated with quark masses corresponding to a pion mass 𝑚𝜋=170  MeV and spacetime volumes of (4.43×8.8)  fm4 and (5.83×11.6)  fm4. We also discuss statistical techniques for the analysis of such systems, in which the correlation functions vary over many orders of magnitude. In particular, we observe that the many-pion correlation functions are well-approximated by log-normal distributions, allowing the extraction of the energies of these systems. Using these energies, the large-isospin-density, zero-baryon-density region of the QCD phase diagram is explored. A peak is observed in the energy density at an isospin chemical potential 𝜇𝐼∼1.5⁢𝑚𝜋, signaling the transition into a Bose-Einstein condensed phase. The isentropic speed of sound, 𝑐𝑠, in the medium is seen to exceed the ideal-gas (conformal) limit (𝑐2 𝑠≤1/3) over a wide range of chemical potential before falling towards the asymptotic expectation at 𝜇𝐼∼15⁢𝑚𝜋. These, and other thermodynamic observables, indicate that the isospin chemical potential must be large for the system to be well described by an ideal gas or perturbative QCD.

Matèries

Cromodinàmica quàntica, Mesons (Física nuclear)

Matèries (anglès)

Quantum chromodynamics, Mesons (Nuclear physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)
Articles publicats en revistes (Institut de Ciències del Cosmos (ICCUB))

Citació

ABBOTT, Ryan, et al. Lattice quantum chromodynamics at large isospin density. Physical Review D. 2023. Vol. 108, num. 1-16. ISSN 2470-0010. [consulted: 3 of August of 2026]. Available at: https://hdl.handle.net/2445/213312

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