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We show that the chiral anomaly of quantum field theories with Dirac fermions subject to an axial background field is an inherent property of kinematics of a perfect classical fluid. Celebrated Beltrami flows (stationary solutions of Euler…

High Energy Physics - Theory · Physics 2022-06-29 P. B. Wiegmann , A. G. Abanov

Anisotropic hydrodynamics is a reorganization of the relativistic hydrodynamics expansion, with the leading order already containing substantial momentum-space anisotropies. The latter are a cause of concern in the traditional viscous…

High Energy Physics - Phenomenology · Physics 2015-06-11 Leonardo Tinti

We discuss the non-perturbative behavior of the U(1)_R symmetry in N=2 superconformal Chern-Simons theories coupled to matter in the (anti)fundamental and adjoint representations of the gauge group, which we take to be U(N). Inequalities…

High Energy Physics - Theory · Physics 2014-11-18 Vasilis Niarchos

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 have studied the correlated Brownian motion of micron-sized particles suspended in water and confined between two plates. The hydrodynamic interaction between the particles exhibits three anomalies. (i) The transverse coupling is…

Soft Condensed Matter · Physics 2007-05-23 Bianxiao Cui , Haim Diamant , Binhua Lin , Stuart A. Rice

Considering ($1+1$)-dimensional fluid in presence of gravitational trace anomaly, as an effective description of higher-dimensional fluid, the hydrodynamics is discussed through a first order thermodynamic description. Contrary to the…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Abhinove Nagarajan Seenivasan , Sayan Chakrabarti , Bibhas Ranjan Majhi

We identify the universal mechanism behind the thermalization of (1+1)d QFTs at high and low temperatures. Viewing these theories as CFTs perturbed by relevant or irrelevant deformations, we show that conformal perturbation theory in the…

High Energy Physics - Theory · Physics 2025-07-09 Richard A. Davison , Luca V. Delacretaz

Anomalous hydrodynamics is a low-energy effective theory that captures effects of quantum anomalies. We develop a numerical code of anomalous hydrodynamics and apply it to dynamics of heavy-ion collisions, where anomalous transports are…

Nuclear Theory · Physics 2018-02-01 Masaru Hongo , Yuji Hirono , Tetsufumi Hirano

Introducing a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore particles with internal degrees of freedom (called charge), we exhibit a novel type of dynamical…

Statistical Mechanics · Physics 2024-03-11 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Tomaž Prosen , Enej Ilievski

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

Many-body systems with chiral fermions can exhibit novel transport phenomena that violate parity and time reversal symmetries, such as the chiral magnetic effect, the anomalous Hall effect, and the anomalous generation of charge. Based on…

Mesoscale and Nanoscale Physics · Physics 2017-02-24 Zebin Qiu , Gaoqing Cao , Xu-Guang Huang

Using the method of hydrodynamic reductions, we find all integrable infinite (1+1)-dimensional hydrodynamic-type chains of shift one. A class of integrable infinite (2+1)-dimensional hydrodynamic-type chains is constructed.

Exactly Solvable and Integrable Systems · Physics 2015-05-14 A. Odesskii , V. Sokolov

In $U(1)$ Abelian gauge theory coupled to fermions, the non-conservation of the axial current due to the chiral anomaly is given by a dynamical operator $F_{\mu\nu} \tilde{F}^{\mu\nu}$ constructed from the field-strength tensor. We attempt…

High Energy Physics - Theory · Physics 2023-06-30 Arpit Das , Ruth Gregory , Nabil Iqbal

We propose the Symmetry TFT for theories with a $U(1)$ symmetry in arbitrary dimension. The Symmetry TFT describes the structure of the symmetry, its anomalies, and the possible topological manipulations. It is constructed as a BF theory of…

High Energy Physics - Theory · Physics 2025-03-03 Andrea Antinucci , Francesco Benini

We construct multi-mode viscous hydrodynamics for one dimensional spinless electrons. Depending on the scale, the fluid has six (shortest lengths), four (intermediate, exponentially broad regime), or three (asymptotically long scales)…

Mesoscale and Nanoscale Physics · Physics 2021-06-24 I. V. Protopopov , R. Samanta , A. D. Mirlin , D. B. Gutman

By making use of the chiral kinetic theory in the relaxation-time approximation, we derive an Israel-Stewart type formulation of the hydrodynamic equations for a chiral relativistic plasma made of neutral particles (e.g., neutrinos). The…

High Energy Physics - Theory · Physics 2017-06-06 E. V. Gorbar , D. O. Rybalka , I. A. Shovkovy

In theories with chiral couplings, one of the important consistency requirements is that of the cancellation of a gauge anomaly. In particular, this is one of the conditions imposed on the hypercharges in the Standard Model. However,…

High Energy Physics - Theory · Physics 2009-11-11 Alexey Boyarsky , Oleg Ruchayskiy , Mikhail Shaposhnikov

We investigate the axial U(1) anomaly of two-flavor QCD at temperatures 190--330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the Mobius domain-wall fermion action as well as overlap fermion action implemented…

High Energy Physics - Lattice · Physics 2021-04-28 S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , T. Kaneko , C. Rohrhofer , K. Suzuki

An exact formulation of two dimensional chiral hydrodynamics with diffeomorphism and conformal anomalies is provided. The constitutive relation involving the stress tensor is computed. It reveals a one parameter class of solutions which is…

General Relativity and Quantum Cosmology · Physics 2014-03-24 Rabin Banerjee

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