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The prediction and subsequent discovery of topological semimetal phases of matter in solid state systems has instigated a surge of activity investigating the exotic properties of these unusual materials. Amongst these are transport…

Strongly Correlated Electrons · Physics 2024-06-21 Alireza Parhizkar , Colin Rylands , Victor Galitski

The chiral anomaly is one of the robust quantum effects in relativistic field theories with a chiral symmetry where charges in chiral sectors appear to be separately conserved. The chiral anomaly, which is often associated with a…

Strongly Correlated Electrons · Physics 2026-02-27 Shuyang Wang , Jay D. Sau

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

Chiral anomaly is a key feature of Lorentz-invariant quantum field theories: in presence of parallel external electric and magnetic fields, the number of massless Weyl fermions of a given chirality is not conserved. In condensed matter,…

Strongly Correlated Electrons · Physics 2026-02-20 Shantonu Mukherjee , Sayantan Sharma , Hridis K. Pal

Quantum anomalies are the breaking of a classical symmetry by quantum fluctuations. They dictate how physical systems of diverse nature, ranging from fundamental particles to crystalline materials, respond topologically to external…

Mesoscale and Nanoscale Physics · Physics 2016-02-12 Jan Behrends , Adolfo G. Grushin , Teemu Ojanen , Jens H. Bardarson

We study relation between Chiral Separation Effect (CSE) and Chiral Anomaly, and argue that CSE does not inherit the immutability of Chiral Anomaly. For QED in the leading order in electric charge, with point-splitting regularization in…

High Energy Physics - Phenomenology · Physics 2022-09-20 Z. V. Khaidukov , R. A. Abramchuk

Chiral anomaly is a very fundamental aspect of quantum theories with chiral fermion, from the Standard Model to supersymmetric field theories or even string theories. How such microscopic anomaly manifests itself in a macroscopic many-body…

High Energy Physics - Phenomenology · Physics 2016-12-22 Jinfeng Liao

The effects of an external field on the dynamics of chiral symmetry breaking are studied using quenched, ladder QED as our model gauge field theory. It is found that a uniform external magnetic field enables the chiral symmetry to be…

High Energy Physics - Theory · Physics 2009-10-31 C. N. Leung

Weyl semimetals are predicted to realize the three-dimensional axial anomaly first discussed in particle physics. The anomaly leads to unusual transport phenomena such as the chiral magnetic effect in which an applied magnetic field induces…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Edwin Barnes , J. J. Heremans , Djordje Minic

The chiral anomaly is a purely quantum mechanical phenomenon that has a long history dating back to the late 1960s. Surprisingly, it has recently made a macroscopic appearance in condensed matter physics. A brief introduction to the…

General Physics · Physics 2017-10-11 Gerald E. Marsh

Violation of scale symmetry, scale anomaly, being a radical concept in quantum field theory, is of importance to comprehend the vacuum structure of QCD, and should potentially contribute to the chiral phase transition in thermal QCD, as…

High Energy Physics - Phenomenology · Physics 2022-01-05 Mamiya Kawaguchi , Shinya Matsuzaki , Akio Tomiya

The interaction induced chiral asymmetry is calculated in cold QED plasma beyond the weak-field approximation. By making use of the recently developed Landau-level representation for the fermion self-energy, the chiral shift and the…

High Energy Physics - Phenomenology · Physics 2014-10-14 Lifang Xia , E. V. Gorbar , V. A. Miransky , I. A. Shovkovy

The chiral anomaly may be realized in condensed matter systems with pairs of Weyl points. Here we show that the chiral anomaly can be realized in diverse noncentrosymmetric systems even without Weyl point pairs when spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Suik Cheon , Gil Young Cho , Ki-Seok Kim , Hyun-Woo Lee

We study the chiral anomaly in disordered Weyl semimetals, where the broken translational symmetry prevents the direct application of Nielsen and Ninomiya's mechanism and disorder is strong enough that quantum effects are important. In the…

Disordered Systems and Neural Networks · Physics 2019-01-25 Junhyun Lee , J. H. Pixley , Jay D. Sau

The chiral anomaly is based on a non-conserved chiral charge and can happen in Dirac fermion systems under the influence of external electromagnetic fields. In this case, the spectral flow leads to a transfer of right- to left-moving…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Christoph Fleckenstein , Niccolò Traverso Ziani , Björn Trauzettel

The chiral anomaly is the predicted break down of chiral symmetry in a Weyl semimetal with monopoles of opposite chirality when an electric field parallel to a magnetic field is applied. It occurs because of charge pumping from a positive…

Materials Science · Physics 2021-06-09 Dung Vu , Wenjuan Zhang , Cüneyt Şahin , Michael E. Flatté , Nandini Trivedi , Joseph P. Heremans

Violation of the $U(1)$ axial symmetry in QCD is stricter than the chiral $SU(2)$ breaking, simply because of the presence of the quantum axial anomaly. If the QCD gauge coupling is sent to zero, the strength of the $U(1)$ axial breaking…

High Energy Physics - Phenomenology · Physics 2024-03-12 Chuan-Xin Cui , Mamiya Kawaguchi , Jin-Yang Li , Shinya Matsuzaki , Akio Tomiya

Chiral and conformal anomalies are fundamental phenomena that span multiple disciplines, including high-energy physics, condensed matter theory and cosmology. These anomalies play a crucial role in understanding fundamental interactions and…

High Energy Physics - Theory · Physics 2025-12-19 Stefano Lionetti

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

The effect of perturbative QCD interactions on the high energy scattering of electroweak vector bosons, when the exchanged channel has pion quantum numbers, is considered. The chiral anomaly is shown to appear in the couplings of particular…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alan R. White
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