Nonlinear effective dynamics of a Brownian particle in magnetized plasma

Bu, Yanyan; Zhang, Biye; Zhang, Jingbo

doi:10.1103/physrevd.106.086014

Cited by 7 publications

(4 citation statements)

References 79 publications

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“…Moreover, these models serve as the basis for the important fluctuationdissipation theorem (FDT) [2] and extend to hydrodynamics [3]. Thus, it is vital to explore their potential in investigating high-energy fluids, which also encompasses the description of plasmas under appropriate conditions [4]. However, dealing with high-energy physics presents a challenge as it typically requires the utilization of relativistic frameworks, such as general relativity or special relativity [5].…”

Section: Introductionmentioning

confidence: 99%

Translation-invariant relativistic Langevin equation derived from first principles

Zadra,

Petrosyan,

Zaccone

2023

Phys. Rev. D

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The relativistic Langevin equation poses a number of technical and conceptual problems related to its derivation and underlying physical assumptions. Recently, a method has been proposed in [A. Petrosyan and A. Zaccone, J. Phys. A: Math. Theor. 55 015001 (2022)] to derive the relativistic Langevin equation from a first-principles particle-bath Lagrangian. As a result of the particle-bath coupling, a new "restoring force" term appeared, which breaks translation symmetry.Here we revisit this problem aiming at deriving a fully translation-invariant relativistic Langevin equation. We successfully do this by adopting the renormalization potential protocol originally suggested by Caldeira and Leggett. The relativistic renormalization potential is derived here and shown to reduce to Caldeira and Leggett's form in the non-relativistic limit. The introduction of this renormalization potential successfully removes the restoring force and a fully translation-invariant relativistic Langevin equation is derived for the first time. The physically necessary character of the renormalization potential is discussed in analogy with non-relativistic systems, where it emerges due to the renormalization of the tagged particle dynamics due to its interaction with the bath oscillators (a phenomenon akin to level-repulsion or avoided-crossing in condensed matter). We discuss the properties that the corresponding non-Markovian friction kernel has to satisfy, with implications ranging from transport models of the quark-gluon plasma, to relativistic viscous hydrodynamic simulations, and to electrons in graphene.

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Section: Introductionmentioning

confidence: 99%

Translation-invariant relativistic Langevin equation derived from first principles

Zadra,

Petrosyan,

Zaccone

2023

Phys. Rev. D

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“…given holographic model directly from its gravitational bulk dynamics. These techniques have been rapidly growing and have already been applied to many holographic systems [32][33][34][35][36][37][38][39][39][40][41][42][43][44][45][46].…”

Section: Jhep09(2023)019mentioning

confidence: 99%

U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography

Baggioli,

Bu,

Ziogas

2023

J. High Energ. Phys.

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We study the quasi-hydrodynamics of a system with a softly broken U(1) global symmetry using effective field theory (EFT) and holographic methods. In the gravity side, we consider a holographic Proca model in the limit of small bulk mass, which is responsible for a controllable explicit breaking of the U(1) global symmetry in the boundary field theory. We perform a holographic Schwinger-Keldysh analysis, which allows us to derive the form of the boundary effective action in presence of dissipation. We compare our results with the previously proposed EFT and hydrodynamic theories, and we confirm their validity by computing the low-energy quasi-normal modes spectrum analytically and numerically. Additionally, we derive the broken holographic Ward identity for the U(1) current, and discuss the recently proposed novel transport coefficients for systems with explicitly broken symmetries. The setup considered is expected to serve as a toy model for more realistic situations where quasi-hydrodynamics is at work, such as axial charge relaxation in QCD, spin relaxation in relativistic systems, electric field relaxation in magneto-hydrodynamics, or momentum relaxation in condensed matter systems.

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“…HQ momentum diffusion coefficients are the essential theoretical inputs required to describe the HQ evolution using Langevin equations [12][13][14][15]40], a widely adopted approach which assumes external HQ receiving random kicks from the thermal partons in the bulk medium. The HQ diffusion coefficients, along with the drag coefficient acutely influence the phenomenology relevant to HQs, thereby affecting the corresponding theoretical predictions for the relevant experimental observable [16].…”

Section: Introductionmentioning

confidence: 99%

Heavy quark dynamics in a strongly magnetized quark-gluon plasma

2022

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We evaluate the heavy quark momentum diffusion coefficients in a hot magnetized medium for the most general scenario of any arbitrary values of the external magnetic field, thereby extending our previous Lowest Landau Level (LLL) approximated result. We choose to work with the systematic way of incorporating the effect of the magnetic field, by using the effective gluon and quark propagators, generalized for a hot and magnetized medium. To get gauge independent analytic form factors valid through all Landau levels, we apply the Hard Thermal Loop (HTL) technique for the resummed effective gluon propagator. The derived effective HTL gluon propagator and the generalized version of Schwinger quark propagator subsequently allows us to analytically evaluate the longitudinal and transverse momentum diffusion coefficients for charm and bottom quarks beyond the static limit. Within the static limit we also explore another way of incorporating the effect of the magnetic field, i.e. through the magnetized medium modified Debye mass and compare the results to justify the need for structural changes.

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Nonlinear effective dynamics of a Brownian particle in magnetized plasma

Cited by 7 publications

References 79 publications

Translation-invariant relativistic Langevin equation derived from first principles

Translation-invariant relativistic Langevin equation derived from first principles

U(1) quasi-hydrodynamics: Schwinger-Keldysh effective field theory and holography

Heavy quark dynamics in a strongly magnetized quark-gluon plasma

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