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The purpose of the paper is to develop further a projection variational approach in relativistic hydrodynamics. The approach, previously proposed in [gr-qc/9908032], is based on the variation of the vector field and the projection tensor…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. G. Dimitrov

The success of spectroscopy to characterise equilibrium fluids, for example the heat capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning…

Soft Condensed Matter · Physics 2022-07-22 Debarghya Banerjee , Anton Souslov , Vincenzo Vitelli

The CPT anomaly, which was first seen in perturbation theory for certain four-dimensional chiral gauge theories, is also present in the exact result for a class of two-dimensional chiral U(1) gauge theories on the torus. Specifically, the…

High Energy Physics - Theory · Physics 2009-10-31 F. R. Klinkhamer , J. Nishimura

We review a recent progress on fluid dynamics applied to strongly interacting nuclear matter. The efforts are made to highlight consequences of scale invariance breaking on the hydrodynamic description of a nuclear medium. Both…

Nuclear Theory · Physics 2018-11-29 Alina Czajka

We utilize the chiral kinetic theory in a relaxation-time approximation to investigate the nonlinear anomalous responses of chiral fluids with viscous effects. Unlike the cases in equilibrium, it is found that the chiral magnetic effect and…

High Energy Physics - Theory · Physics 2018-08-01 Yoshimasa Hidaka , Di-Lun Yang

We recast superfluid hydrodynamics as the hydrodynamic theory of a system with an emergent anomalous higher-form symmetry. The higher-form charge counts the winding planes of the superfluid -- its constitutive relation replaces the…

High Energy Physics - Theory · Physics 2020-04-01 Luca V. Delacrétaz , Diego M. Hofman , Grégoire Mathys

Using a hydrodynamic approach, we show that charge diffusion in two dimensional Coulomb interacting liquids with broken momentum conservation is intrinsically anomalous. The charge relaxation is governed by an overdamped, superdiffusive…

Strongly Correlated Electrons · Physics 2021-06-16 Egor I. Kiselev

A Fermion in 2+1 dimensions, with a mass function which depends on one spatial coordinate and passes through a zero ( a domain wall mass), is considered. In this model, originally proposed by Callan and Harvey, the gauge variation of the…

High Energy Physics - Theory · Physics 2009-10-22 Shailesh Chandrasekharan

In a variant of chiral color with the electroweak gauge group generalized to $SU(3)_L \times U(1)$ anomaly cancellation occurs more readily than in the $SU(2)_L \times U(1)$ case. Three families are required by anomaly cancellation and the…

High Energy Physics - Phenomenology · Physics 2010-05-25 Paul H. Frampton

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

We show that dirty Quantum Hall systems exhibit large hydrodynamic fluctuations at their edge that lead to anomalously damped charge excitations in the Kardar-Parisi-Zhang universality class $\omega \simeq ck - i \mathcal D k^{3/2} $. The…

Strongly Correlated Electrons · Physics 2020-06-24 Luca V. Delacretaz , Paolo Glorioso

Chiral anomaly implies the existence of non-dissipative transport phenomena, such as the chiral magnetic effect. At second order in the derivative expansion, novel quantum transport phenomena emerge. In this paper, we focus on the anomalous…

High Energy Physics - Phenomenology · Physics 2022-11-23 Matteo Buzzegoli , Dmitri E. Kharzeev , Yu-Chen Liu , Shuzhe Shi , Sergei A. Voloshin , Ho-Ung Yee

The dynamics of fluids in which the constituent particles carry nonabelian charges can be described succinctly in terms of group-valued variables via a generalization of the co-adjoint orbit action for particles. This formalism, which is…

High Energy Physics - Theory · Physics 2013-10-30 D. Capasso , V. P. Nair , J. Tekel

We study the hydrodynamic behavior of two-dimensional chiral dry Malthusian flocks; that is, chiral polar-ordered active matter with neither number nor momentum conservation. We show that, in the absence of fluctuations, such systems…

Soft Condensed Matter · Physics 2025-07-29 Leiming Chen , Chiu Fan Lee , John Toner

A new approach for derivation of Benney-like momentum chains and integrable hydrodynamic type systems is presented. New integrable hydrodynamic chains are constructed, all their reductions are described and integrated. New (2+1) integrable…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Maxim V. Pavlov

Hydrodynamic helicity signatures the parity symmetry breaking, chirality, of the flow. Statistical hydrodynamics thus respect chirality, as symmetry breaking and restoration are key to their fundamentals, such as the spectral transfer…

Fluid Dynamics · Physics 2014-08-01 Jian-Zhou Zhu

The Nieh-Yan anomaly is the anomalous breakdown of the chiral U(1) symmetry caused by the interaction between torsion and fermions. We study this anomaly from the point of view of torsional Landau levels. It was found that the torsional…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Ze-Min Huang , Bo Han , Michael Stone

We introduce quantum circuits in two and three spatial dimensions which are classically simulable, despite producing a high degree of operator entanglement. We provide a partial characterization of these "automaton" quantum circuits, and…

Statistical Mechanics · Physics 2019-12-10 Jason Iaconis , Sagar Vijay , Rahul Nandkishore

We show that generic U(1) superfluids with a U(1)^3 anomaly feature universal anomalous transport at low temperature. This universal behavior had been encountered before for a class holographic models by performing explicit computations:…

High Energy Physics - Theory · Physics 2014-06-23 Luis Melgar

A full (3+1)-dimensional calculation using the Lagrangian hydrodynamics is proposed for relativistic nuclear collisions. The calculation enables us to evaluate anisotropic flow of hadronic matter which appears in non-central and/or…

High Energy Physics - Phenomenology · Physics 2011-09-13 Chiho Nonaka , Eiji Honda , Shin Muroya