Abstract
We compute the free energy of the chiral soliton lattice state in quantum chromodynamics (QCD) at nonzero baryon chemical potential, temperature and external magnetic field at the next-to-leading order of chiral perturbation theory. This extends previous work where only a special limit of the chiral soliton lattice, the domain wall, was considered. Our results therefore serve as a consistency check of the previously established phase diagram of QCD at moderate magnetic fields and temperature and sub-nuclear baryon chemical potentials. Moreover, we use the result for the free energy to determine the magnetization carried by the domain wall and the chiral soliton lattice, both at the next-to-leading order.
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Acknowledgments
We are indebted to Naoki Yamamoto for a collaboration preceding this project. We are also grateful to Geraint Evans, Andreas Schmitt, Gilberto Colangelo and Martina Cottini for helpful discussions. This work was supported in part by the University of Stavanger and the University Fund under the grant no. PR-10614. HK is further supported in part by the Swiss National Science Foundation (SNSF) under grant no. 200020B-188712.
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Brauner, T., Kolešová, H. Chiral soliton lattice at next-to-leading order. J. High Energ. Phys. 2023, 163 (2023). https://doi.org/10.1007/JHEP07(2023)163
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DOI: https://doi.org/10.1007/JHEP07(2023)163