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We discuss the chiral anomaly for a Weyl field in a curved background and show that a novel index theorem for the Lorentzian Dirac operator can be applied to describe the gravitational chiral anomaly. A formula for the total charge…

Mathematical Physics · Physics 2017-09-15 Christian Baer , Alexander Strohmaier

Many-body systems with chiral fermions exhibit anomalous transport phenomena originated from quantum anomalies. Based on quantum field theory, we derive the kinetic theory for chiral fermions interacting with an external electromagnetic…

High Energy Physics - Theory · Physics 2019-05-08 Yu-Chen Liu , Lan-Lan Gao , Kazuya Mameda , Xu-Guang Huang

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

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 extreme electromagnetic or gravitational fields associated with some astrophysical objects can give rise to macroscopic effects arising from the physics of the quantum vacuum. Therefore, these objects are incredible laboratories for…

High Energy Astrophysical Phenomena · Physics 2012-09-21 Dan Mazur

It is known that cosmic magnetic field, if present, can generate anisotropic stress in the plasma and hence, can act as a source of gravitational waves. These cosmic magnetic fields can be generated at very high temperature, much above…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-25 Sampurn Anand , Jitesh R. Bhatt , Arun Kumar Pandey

The quantum anomaly can be written alternatively into a form violating conservation laws or as non-gauge invariant currents seen explicitly on the example of chiral anomaly. By reinterpreting the many-body averaging, the connection to…

Strongly Correlated Electrons · Physics 2020-04-06 Klaus Morawetz

A popular physical picture of the mechanism behind the four-dimensional chiral anomaly is provided by the massless Dirac equation in the presence of constant electric and magnetic background fields. The magnetic field creates highly…

High Energy Physics - Theory · Physics 2023-07-14 Michael Stone , Porter Howland , JiYoung Kim

Gravitational shockwaves are geometries where components of the transverse curvature have abrupt behaviour across null hypersurfaces, which are fronts of the waves. We develop a general approach to describe classical field theories on such…

General Relativity and Quantum Cosmology · Physics 2024-12-31 D. V. Fursaev , E. A. Davydov , I. G. Pirozhenko , V. A. Tainov

The black hole horizon can induce chaotic motion of particles around the black hole. The original integrable motion of particles can transit to the chaotic motion when approaching black hole horizon. In this work, we consider the black hole…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Yu-Sen An , Wei-Hao Zhang

Gravitational counterpart of the chiral magnetic effect, which is referred as the chiral gravitational effect, can also be of interest in a cosmological setup. In this study, we investigate this effect in the time-dependent chiral…

High Energy Physics - Phenomenology · Physics 2021-11-18 Kohei Kamada , Jun'ya Kume , Yusuke Yamada

A singular configuration of external static magnetic field in the form of a pointlike vortex polarizes the vacuum of quantized massless spinor field in 2+1-dimensional space-time. This results in an analogue of the Bohm-Aharonov effect: the…

High Energy Physics - Theory · Physics 2015-06-26 Yurii A. Sitenko

We argue that the chiral anomaly of $\Ncal = 1$ super Yang-Mills theory admits a dual description as spontaneous symmetry breaking in M theory on $G_2$ holonomy manifolds. We identify an angle of the $G_2$ background dual to the anomalous…

High Energy Physics - Theory · Physics 2009-11-10 Umut Gursoy , Sean A. Hartnoll , Ruben Portugues

The Weyl anomaly problem is treated within a purely geometrical context. Arguments are given that hint at a possible classical origin of the conformal anomaly in the Riemannian nature of the background geometry where the matter fields play…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

Motivated by the recent work of Robinson and Wilczek, we evaluate the gravitational anomaly of a chiral scalar field in a Vaidya spacetime of arbitrary mass function, and thus the outgoing flux from the time-dependent horizon in that…

High Energy Physics - Theory · Physics 2009-11-11 Elias C. Vagenas , Saurya Das

The gravitational back-reaction is calculated for the conformally invariant scalar field within a black cosmic string interior with cosmological constant. Using the perturbed metric, the gravitational effects of the quantum field are…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. DeBenedictis

In the standard model of particle physics, the chiral anomaly can occur in relativistic plasmas and plays a role in the early Universe, protoneutron stars, heavy-ion collisions, and quantum materials. It gives rise to a magnetic instability…

Plasma Physics · Physics 2024-02-07 Jennifer Schober , Igor Rogachevskii , Axel Brandenburg

The vacuum Einstein equations admit a formulation closely analogous to the source-free Maxwell theory. In particular, the linearized equations exhibit an electric-magnetic duality symmetry. We develop a framework that makes this analogy…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Adrian del Rio , Javier Olmedo , António Torres Manso

This dissertation studies the quantum anomalous effects on the description of high energy electrodynamics. We argue that on the temperatures comparable to the electroweak scale, characteristic for the early Universe and objects like neutron…

High Energy Physics - Phenomenology · Physics 2021-02-23 Petar Pavlović

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is…

High Energy Physics - Theory · Physics 2018-10-31 Tim Adamo , Eduardo Casali , Stefan Nekovar