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A derivation of the anomaly-induced transport phenomena---the chiral magnetic/vortical effect---is revisited based on the imaginary-time formalism of quantum field theory. Considering the simplest anomalous system composed of a single Weyl…

High Energy Physics - Theory · Physics 2021-10-07 Masaru Hongo , Yoshimasa Hidaka

The chiral magnetic effect (CME) is an exact statement that connects via the axial anomaly the electric current in a system consisting of interacting fermions and gauge field with chirality imbalance that is put into a strong external…

High Energy Physics - Phenomenology · Physics 2020-04-17 L. Ya. Glozman

We solve the Wigner equation for massless spin-1/2 charged fermions near global equilibrium. The Wigner function can be obtained order by order in the power expansion of the vorticity and electromagnetic field. The Wigner function has been…

High Energy Physics - Phenomenology · Physics 2021-01-04 Shi-Zheng Yang , Jian-Hua Gao , Zuo-Tang Liang , Qun Wang

The chiral magnetic effect is a one of the exotic bulk transport properties of the Weyl semimetals. Because of the Nielsen-Ninomiya "no-go theorem", the total chiral magnetic current is absent in the equilibrium state. One of the mechanisms…

Strongly Correlated Electrons · Physics 2020-01-08 Zaur Z. Alisultanov

We study the signatures of the Chiral Magnetic Effect (CME) in $SU(2)$ gauge theory with $N_f = 2$ flavours of dynamical fermions at finite temperature $T$, quark chemical potential $\mu$ and a weak external magnetic field $e B$. We…

High Energy Physics - Lattice · Physics 2026-05-07 P. V. Buividovich , L. von Smekal , D. Smith

We propose a novel method to search for the chiral magnetic effect (CME) in heavy ion collisions. We argue that the relative strength of the magnetic field (mainly from spectator protons and responsible for the CME) with respect to the…

Nuclear Theory · Physics 2018-07-18 Hao-jie Xu , Jie Zhao , Xiaobao Wang , Hanlin Li , Zi-Wei Lin , Caiwan Shen , Fuqiang Wang

The chiral vortical effect is a chiral anomaly induced transport phenomenon characterized by an axial current in a uniformly rotating chiral fluid. It is well-understood for Weyl fermions in high energy physics, but its realization in…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 Swadeepan Nanda , Pavan Hosur

Application of Wigner-Weyl calculus to the investigation of non-dissipative transport phenomena is reviewed. We focus on the quantum Hall effect, Chiral Magnetic effect, and Chiral separation effect, and discuss the role of interactions,…

Mesoscale and Nanoscale Physics · Physics 2022-01-28 M. A. Zubkov

We study analytically the one-loop contribution to the Chiral Magnetic Effect(CME) using lattice regularization with a Wilson fermion field. In the continuum limit, we find that the chiral magnetic current vanishes at nonzero temperature…

High Energy Physics - Phenomenology · Physics 2017-07-05 Bo Feng , De-fu Hou , Hui Liu , Hai-cang Ren , Ping-ping Wu , Yan Wu

The chiral magnetic effect (CME) is a quantum relativistic effect that describes the appearance of an additional electric current along a magnetic field. It is caused by an asymmetry between the number densities of left- and right-handed…

Plasma Physics · Physics 2019-12-16 Jennifer Schober , Axel Brandenburg , Igor Rogachevskii

The exponential amplification of initial seed magnetic fields in relativistic plasmas is a very important topic in astrophysics, from the conditions in the early Universe to the interior of neutron stars. While dynamo action in a turbulent…

High Energy Astrophysical Phenomena · Physics 2018-07-04 Luca Del Zanna , Niccolò Bucciatini

For systems with charged chiral fermions, the imbalance of chirality in the presence of magnetic field generates an electric current - this is the Chiral Magnetic Effect (CME). We study the dynamical real-time evolution of electromagnetic…

High Energy Physics - Theory · Physics 2016-01-29 Yuji Hirono , Dmitri Kharzeev , Yi Yin

We derive the chiral kinetic equation in 8 dimensional phase space in non-Abelian $SU(N)$ gauge field within the Wigner function formalism. By using the "covariant gradient expansion", we disentangle the Wigner equations in four-vector…

High Energy Physics - Theory · Physics 2021-12-01 Xiao-Li Luo , Jian-Hua Gao

Hydrodynamics with both vector and axial currents is under study within a holographic model, consisting of canonical $U(1)_V\times U(1)_A$ gauge fields in an asymptotically AdS$_5$ black brane. When gravitational back-reaction is taken into…

High Energy Physics - Theory · Physics 2018-09-28 Yanyan Bu , Rong-Gen Cai , Qing Yang , Yun-Long Zhang

In Wigner function approach with relaxation time approximation, we calculate electric and magnetic conductivities of a fermion system in the strong magnetic field. The linear response has been calculated to the perturbation of…

Nuclear Theory · Physics 2023-06-21 Hao-Hao Peng , Xin-Li Sheng , Shi Pu , Qun Wang

By using the exact solutions of the Weyl equation in a constant magnetic field, the equal-time Wigner function for magnetized chiral plasma is derived. It is found that the dependence of the Wigner function on the component of momentum…

High Energy Physics - Phenomenology · Physics 2017-09-11 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We compute the chiral magnetic effect (CME) in a cylindrical region coaxial with the external magnetic field. As the boundary condition we require vanishing of the radial component of the electric current on the cylinder side wall. We find…

High Energy Physics - Phenomenology · Physics 2023-09-13 Matteo Buzzegoli , Kirill Tuchin

We consider as a model of Weyl semimetal thermoelectric transport a $(3+1)$-dimensional charged, relativistic and relaxed fluid with a $U(1)_{V} \times U(1)_{A}$ chiral anomaly. We take into account all possible mixed energy, momentum,…

High Energy Physics - Theory · Physics 2024-02-15 Andrea Amoretti , Daniel K. Brattan , Luca Martinoia , Ioannis Matthaiakakis , Jonas Rongen

We report on the mean-field study of the Chiral Magnetic Effect (CME) in static magnetic fields within a simple model of a parity-breaking Weyl semimetal given by the lattice Wilson-Dirac Hamiltonian with constant chiral chemical potential.…

Strongly Correlated Electrons · Physics 2015-12-07 P. V. Buividovich , M. Puhr , S. N. Valgushev

We systematically derive the chiral kinetic theory for chiral fermions with collisions, including the self-energy corrections, from quantum field theories. We find that the Wigner functions and chiral kinetic equations receive both the…

High Energy Physics - Phenomenology · Physics 2025-04-01 Naoki Yamamoto , Di-Lun Yang
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