Chiral soliton lattice in QCD-like theories
Abstract Recently, it has been shown that the ground state of quantum chromodynamics (QCD) in sufficiently strong magnetic fields and at moderate baryon number chemical po- tential carries a crystalline condensate of neutral pions: the chiral soliton lattice (CSL) [1]. While the result was obtained...
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Format: | Article |
Language: | English |
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SpringerOpen
2019-12-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP12(2019)029 |
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author | Tomáš Brauner Georgios Filios Helena Kolešová |
author_facet | Tomáš Brauner Georgios Filios Helena Kolešová |
author_sort | Tomáš Brauner |
collection | DOAJ |
description | Abstract Recently, it has been shown that the ground state of quantum chromodynamics (QCD) in sufficiently strong magnetic fields and at moderate baryon number chemical po- tential carries a crystalline condensate of neutral pions: the chiral soliton lattice (CSL) [1]. While the result was obtained in a model-independent manner using effective field the- ory techniques, its realization from first principles using lattice Monte Carlo simulation is hampered by the infamous sign problem. Here we show that CSL, or a similar inhomoge- neous phase, also appears in the phase diagram of a class of vector-like gauge theories that do not suffer from the sign problem even in the presence of a baryon chemical potential and external magnetic field. We also show that the onset of nonuniform order manifests itself already in the adjacent homogeneous Bose-Einstein-condensation phase through a characteristic roton-like minimum in the dispersion relation of the lowest-lying quasipar- ticle mode. Last but not least, our work gives a class of explicit counterexamples to the long-standing conjecture that positivity of the determinant of the Dirac operator (that is, absence of the sign problem) in a vector-like gauge theory precludes spontaneous breaking of translational invariance, and thus implies the absence of inhomogeneous phases in the phase diagram of the theory. |
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language | English |
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spelling | doaj.art-3999e42932f449fd845bb86b15a83f9f2022-12-21T23:44:08ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191212710.1007/JHEP12(2019)029Chiral soliton lattice in QCD-like theoriesTomáš Brauner0Georgios Filios1Helena Kolešová2Department of Mathematics and Physics, University of StavangerDepartment of Mathematics and Physics, University of StavangerDepartment of Mathematics and Physics, University of StavangerAbstract Recently, it has been shown that the ground state of quantum chromodynamics (QCD) in sufficiently strong magnetic fields and at moderate baryon number chemical po- tential carries a crystalline condensate of neutral pions: the chiral soliton lattice (CSL) [1]. While the result was obtained in a model-independent manner using effective field the- ory techniques, its realization from first principles using lattice Monte Carlo simulation is hampered by the infamous sign problem. Here we show that CSL, or a similar inhomoge- neous phase, also appears in the phase diagram of a class of vector-like gauge theories that do not suffer from the sign problem even in the presence of a baryon chemical potential and external magnetic field. We also show that the onset of nonuniform order manifests itself already in the adjacent homogeneous Bose-Einstein-condensation phase through a characteristic roton-like minimum in the dispersion relation of the lowest-lying quasipar- ticle mode. Last but not least, our work gives a class of explicit counterexamples to the long-standing conjecture that positivity of the determinant of the Dirac operator (that is, absence of the sign problem) in a vector-like gauge theory precludes spontaneous breaking of translational invariance, and thus implies the absence of inhomogeneous phases in the phase diagram of the theory.https://doi.org/10.1007/JHEP12(2019)029Phase Diagram of QCDTopological States of MatterAnomalies in Field and String TheoriesChiral Lagrangians |
spellingShingle | Tomáš Brauner Georgios Filios Helena Kolešová Chiral soliton lattice in QCD-like theories Journal of High Energy Physics Phase Diagram of QCD Topological States of Matter Anomalies in Field and String Theories Chiral Lagrangians |
title | Chiral soliton lattice in QCD-like theories |
title_full | Chiral soliton lattice in QCD-like theories |
title_fullStr | Chiral soliton lattice in QCD-like theories |
title_full_unstemmed | Chiral soliton lattice in QCD-like theories |
title_short | Chiral soliton lattice in QCD-like theories |
title_sort | chiral soliton lattice in qcd like theories |
topic | Phase Diagram of QCD Topological States of Matter Anomalies in Field and String Theories Chiral Lagrangians |
url | https://doi.org/10.1007/JHEP12(2019)029 |
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