Chiral anomalous magnetohydrodynamics in action: effective field theory and holography

Abstract Chiral Anomalous Magnetohydrodynamics (CAMHD) provides a low-energy effective framework for describing chiral fluids in the presence of dynamical electromagnetic fields and axial anomaly. This theory finds applications across diverse physical systems, including heavy-ion collisions, the ear...

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Main Authors: Matteo Baggioli, Yanyan Bu, Xiyang Sun
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP04(2025)126
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author Matteo Baggioli
Yanyan Bu
Xiyang Sun
author_facet Matteo Baggioli
Yanyan Bu
Xiyang Sun
author_sort Matteo Baggioli
collection DOAJ
description Abstract Chiral Anomalous Magnetohydrodynamics (CAMHD) provides a low-energy effective framework for describing chiral fluids in the presence of dynamical electromagnetic fields and axial anomaly. This theory finds applications across diverse physical systems, including heavy-ion collisions, the early universe, and Weyl/Dirac semimetals. Along with Schwinger-Keldysh (SK) effective theories, holographic models serve as a complementary tool to provide a systematic formulation of CAMHD that goes beyond the weak coupling regime. In this work, we explore holographic models with U(1) A × U(1) symmetry, where the electromagnetic U(1) field is rendered dynamical through mixed boundary conditions applied to the bulk gauge field and the axial anomaly is introduced via a Chern-Simons bulk term. Through a detailed holographic SK analysis, we demonstrate that the low-energy effective action derived from this model aligns precisely with the SK field theory proposed by Landry and Liu and, in fact, it generalizes it to scenarios with finite background axial field. This alignment not only validates the holographic model but also paves the way for its use in exploring unresolved aspects of CAMHD, such as the recently proposed chiral magnetic electric separation wave and nonlinear chiral instabilities.
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spelling doaj-art-15c6f9fb8bef454db2e0a6b2eff0c8c82025-08-20T02:15:16ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025412110.1007/JHEP04(2025)126Chiral anomalous magnetohydrodynamics in action: effective field theory and holographyMatteo Baggioli0Yanyan Bu1Xiyang Sun2Wilczek Quantum Center, School of Physics and Astronomy, Shanghai Jiao Tong UniversitySchool of Physics, Harbin Institute of TechnologySchool of Physics, Harbin Institute of TechnologyAbstract Chiral Anomalous Magnetohydrodynamics (CAMHD) provides a low-energy effective framework for describing chiral fluids in the presence of dynamical electromagnetic fields and axial anomaly. This theory finds applications across diverse physical systems, including heavy-ion collisions, the early universe, and Weyl/Dirac semimetals. Along with Schwinger-Keldysh (SK) effective theories, holographic models serve as a complementary tool to provide a systematic formulation of CAMHD that goes beyond the weak coupling regime. In this work, we explore holographic models with U(1) A × U(1) symmetry, where the electromagnetic U(1) field is rendered dynamical through mixed boundary conditions applied to the bulk gauge field and the axial anomaly is introduced via a Chern-Simons bulk term. Through a detailed holographic SK analysis, we demonstrate that the low-energy effective action derived from this model aligns precisely with the SK field theory proposed by Landry and Liu and, in fact, it generalizes it to scenarios with finite background axial field. This alignment not only validates the holographic model but also paves the way for its use in exploring unresolved aspects of CAMHD, such as the recently proposed chiral magnetic electric separation wave and nonlinear chiral instabilities.https://doi.org/10.1007/JHEP04(2025)126AdS-CFT CorrespondenceField Theory HydrodynamicsGauge-Gravity CorrespondenceHolography and Hydrodynamics
spellingShingle Matteo Baggioli
Yanyan Bu
Xiyang Sun
Chiral anomalous magnetohydrodynamics in action: effective field theory and holography
Journal of High Energy Physics
AdS-CFT Correspondence
Field Theory Hydrodynamics
Gauge-Gravity Correspondence
Holography and Hydrodynamics
title Chiral anomalous magnetohydrodynamics in action: effective field theory and holography
title_full Chiral anomalous magnetohydrodynamics in action: effective field theory and holography
title_fullStr Chiral anomalous magnetohydrodynamics in action: effective field theory and holography
title_full_unstemmed Chiral anomalous magnetohydrodynamics in action: effective field theory and holography
title_short Chiral anomalous magnetohydrodynamics in action: effective field theory and holography
title_sort chiral anomalous magnetohydrodynamics in action effective field theory and holography
topic AdS-CFT Correspondence
Field Theory Hydrodynamics
Gauge-Gravity Correspondence
Holography and Hydrodynamics
url https://doi.org/10.1007/JHEP04(2025)126
work_keys_str_mv AT matteobaggioli chiralanomalousmagnetohydrodynamicsinactioneffectivefieldtheoryandholography
AT yanyanbu chiralanomalousmagnetohydrodynamicsinactioneffectivefieldtheoryandholography
AT xiyangsun chiralanomalousmagnetohydrodynamicsinactioneffectivefieldtheoryandholography