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We propose a classical action for the motion of massless Weyl fermions in a background gauge field in (2N+1)+1 spacetime dimensions. We use this action to derive the collisionless Boltzmann equation for a gas of such particles, and show how…

High Energy Physics - Theory · Physics 2015-06-16 Vatsal Dwivedi , Michael Stone

Starting from low energy effective chiral Lagrangian with gauged Wess-Zumino Witten term, we have derived a hydrodynamic theory for chiral superfluid. It is a non-abelian hydrodynamics at zero temperature with only superfluid components.…

High Energy Physics - Phenomenology · Physics 2013-05-30 Shu Lin

Chiral anomaly and the novel quantum phenomena it induces have been widely studied for Dirac and Weyl fermions. In most typical cases, the Lorentz covariance is assumed and thus the linear dispersion relations are maintained. However, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Lan-Lan Gao , Xu-Guang Huang

The nonlocal response of chiral electron fluid in a semi-infinite Weyl semimetal slab with the electric current source and drain attached to its surface is studied by using the consistent hydrodynamic framework. It is found that the…

Strongly Correlated Electrons · Physics 2018-07-24 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

The discovery of a chiral anomaly in Weyl semimetals, the non-conservation of chiral charge and energy across two opposite chirality Weyl nodes, has sparked immense interest in understanding its impact on various physical phenomena. Here,…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Sunit Das , Kamal Das , Amit Agarwal

In Weyl semimetals subjected to torsion, there are two different kinds of chirality: i) the (coordinate-space) shape of the twisted crystal is chiral, and ii) the momentum space contains chiral quasi-particles. Here we construct a general…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Lan-Lan Gao , Sahal Kaushik , Dmitri E. Kharzeev , Evan John Philip

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 outline a novel chiral kinetic theory framework for systematic computations of the Chiral Magnetic Effect (CME) in ultrarelativistic heavy-ion collisions. The real part of the fermion determinant in the QCD effective action is expressed…

High Energy Physics - Phenomenology · Physics 2018-03-28 Niklas Mueller , Raju Venugopalan

The hydrodynamic flow of the chiral electron fluid in a Weyl semimetal slab of finite thickness is studied by using the consistent hydrodynamic theory. The latter includes viscous, anomalous, and vortical effects, as well as accounts for…

Strongly Correlated Electrons · Physics 2018-05-23 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We investigate the role of the chiral anomaly in hydrodynamic and crossover regimes of transport in a Weyl or Dirac semimetal film. We show that the magnetic-field-dependent part of the electric conductivity in the direction of the magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 P. O. Sukhachov , Björn Trauzettel

We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a…

High Energy Physics - Theory · Physics 2014-02-26 Karl Landsteiner

We compute, in the framework of the fluid/gravity correspondence, the transport coefficients of a relativistic fluid affected by chiral and gauge-gravitational anomalies, including external electromagnetic fields. The computation is…

High Energy Physics - Theory · Physics 2015-06-15 Eugenio Megias , Francisco Pena-Benitez

The chiral kinetic theory is derived from exact spinor mean field equations without symmetry-breaking terms for large classes of SU(2) systems with spin-orbit coupling. The influence of the Wigner function's off-diagonal elements is worked…

Strongly Correlated Electrons · Physics 2019-09-04 K. Morawetz

Quantum anomalies give rise to novel transport phenomena, including the generation of a current in a relativistic fluid due to the presence of magnetic field or vorticity. We present an exclusive and direct computation of the chiral anomaly…

High Energy Physics - Theory · Physics 2025-07-04 Rémy Larue , Jérémie Quevillon , Diego Saviot

Starting from the Ginsparg-Wilson relation, a general construction of chiral gauge theories on the lattice is described. Local and global anomalies are easily discussed in this framework and a closed expression for the effective action can…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Lüscher

We use the recently developed kinetic theory with Berry curvature to describe the fermions and antifermions of a chiral relativistic plasma. We check that this transport approach allows to reproduce the chiral anomaly equation of…

High Energy Physics - Phenomenology · Physics 2014-05-14 Cristina Manuel , Juan M. Torres-Rincon

Our goal is to examine the role of anomalies in the hydrodynamic regime of field theories. We employ methods based on gauge/gravity duality to examine R-charge anomalies in the hydrodynamic regime of stronly t'Hooft coupled, large N, N = 4…

High Energy Physics - Phenomenology · Physics 2009-11-11 G. M. Newman

The low-energy quasiparticles of Weyl semimetals are a condensed-matter realization of the Weyl fermions introduced in relativistic field theory. Chiral anomaly, the nonconservation of the chiral charge under parallel electric and magnetic…

Materials Science · Physics 2017-12-29 Pilkwang Kim , Ji Hoon Ryoo , Cheol-Hwan Park

We study the anomalous induced current of a vortex in a relativistic fluid via the chiral vortical effect, which is analogous to the anomalous current induced by a magnetic field via the chiral magnetic effect. We perform this analysis at…

High Energy Physics - Theory · Physics 2015-06-03 Karl Landsteiner , Eugenio Megias , Luis Melgar , Francisco Pena-Benitez

We study the coupling of a 2+1 dimensional non-relativistic spin 1/2 fermion to a curved Newton-Cartan geometry, using null reduction from an extra-dimensional relativistic Dirac action in curved spacetime. We analyze Weyl invariance in…

High Energy Physics - Theory · Physics 2017-09-13 Roberto Auzzi , Stefano Baiguera , Giuseppe Nardelli
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