Document Type

Article

Publication Date

2-22-2024

Abstract

We study the stability against thermal phonon fluctuations of the magnetic dual chiral density wave (MDCDW) phase, an inhomogeneous phase arising in cold, dense QCD in a magnetic field. Following a recent study that demonstrated the absence of the Landau-Peierls (LP) instability from this phase, we calculate the (threshold) temperature at which the phonon fluctuations wash out the long-range order over a range of magnetic fields and densities relevant to astrophysical applications. Using a high-order Ginzburg-Landau expansion, we find that the threshold temperature is very near the critical temperature for fields of order 10 18     G and still a sizable fraction of the critical temperature for fields of order 10 17     G . Therefore, at sufficiently large magnetic fields, the long-range order of the MDCDW phase is preserved over most of the parameter space where the condensate is energetically favored; at smaller magnetic fields, the long-range order is still maintained over a considerable region of parameter space relevant to compact stars.

Comments

© 2024 American Physical Society. Original published version available at https://doi.org/10.1103/PhysRevD.109.036023

Publication Title

Physical Review D

DOI

https://doi.org/10.1103/PhysRevD.109.036023

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