Transport in a Strongly Coupled Charged Relativistic Quantum Fluid in the Presence of a Chiral Anomaly & a Strong Magnetic Field Via Hydrodynamics & Holography

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dc.contributor Okada, Nobochika
dc.contributor Stern, Allen
dc.contributor Henderson, Conor
dc.contributor Schweite, Georg
dc.contributor Landsteiner, Karl
dc.contributor.advisor Kaminski, Matthias Koirala, Roshan Nmn 2022-04-13T20:34:28Z 2022-04-13T20:34:28Z 2020
dc.identifier.other u0015_0000001_0004277
dc.identifier.other Koirala_alatus_0004D_14229
dc.description Electronic Thesis or Dissertation
dc.description.abstract Motivated by applications to the quark gluon plasma state generated in heavy ion collisions, I study a 4-dimensional supersymmetric conformal field theory in the thermal state, carrying axial charge, and subject to a strong external magnetic field, $B$. This theory has a chiral anomaly, which conspires with the magnetic field and axial charges to give rise to a host of novel transport phenomena. According to the gauge/gravity correspondence, also referred to as holography the described field theory state is dual to a charged magnetic black brane which is a solution of Einstein-Maxwell-Chern-Simons theory. I compute the quasinormal modes which are holographically dual to the poles of the two-point functions of the energy-momentum tensor and axial current operators, encoding information about the dissipation and transport of charges in the plasma. I derive general results in the hydrodynamic field theory and confirm them by explicit solutions in the dual gravity theory. Chiral transport is analyzed beyond the hydrodynamic approximation for the five hydrodynamic modes, one of which turns from a purely dissipative diffusion mode into a propagating chiral magnetic wave mode. I derive Kubo formulas for the thermodynamic and hydrodynamic transport coefficients in this plasma state. I analyze the discrete symmetries and Onsager relations of the corresponding correlators. I provide the transport coefficients in the holographic theory including both DC values and their frequency, $\omega$, dependence. The chiral magnetic conductivity and magneto-vortical susceptibilities are independent of $B$ for all $\omega$ while the chiral vortical conductivity and chiral heat conductivity have dependence when $B \neq \omega$. The parallel and perpendicular shear viscosity are found to be cubic in $\omega$, while conductivity is linear in $\omega$ in the conformal limit $\omega \gg T$. AC values of Hall conductivity are found to dominate by $n_0/B$ term when $\omega \gg T$, while that of Hall viscosity quickly decays to zero near $\omega \sim T$.
dc.format.medium electronic
dc.format.mimetype application/pdf
dc.language English
dc.language.iso en_US
dc.publisher University of Alabama Libraries
dc.relation.ispartof The University of Alabama Electronic Theses and Dissertations
dc.relation.ispartof The University of Alabama Libraries Digital Collections
dc.relation.hasversion born digital
dc.rights All rights reserved by the author unless otherwise indicated.
dc.subject.other Chiral anomaly
dc.subject.other Holographic duality
dc.subject.other Quark Gluon Plasma
dc.subject.other Quasinormal modes
dc.subject.other Relativistic hydrodynamics
dc.subject.other Transport coefficients
dc.title Transport in a Strongly Coupled Charged Relativistic Quantum Fluid in the Presence of a Chiral Anomaly & a Strong Magnetic Field Via Hydrodynamics & Holography
dc.type thesis
dc.type text University of Alabama. Department of Physics and Astronomy Particle physics The University of Alabama doctoral Ph.D.

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