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We consider the hydrodynamic regime of theories with quantum anomalies for global currents. We show that a hitherto discarded term in the conserve current is not only allowed by symmetries, but is in fact required by triangle anomalies and…

High Energy Physics - Theory · Physics 2013-05-29 Dam T. Son , Piotr Surowka

We present a new approach to discuss two dimensional chiral and non-chiral hydrodynamics with gauge and gravitational anomalies. Exact constitutive relations for the stress tensor and charge current are obtained. For the chiral theory, the…

High Energy Physics - Theory · Physics 2014-05-12 Rabin Banerjee , Shirsendu Dey , Bibhas Ranjan Majhi , Arpan Krishna Mitra

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

We present a variational principle for relativistic hydrodynamics with gauge-anomaly terms for a fluid coupled to an Abelian background gauge field. For this we utilize the Clebsch parametrization of the velocity field. We also set up the…

High Energy Physics - Theory · Physics 2015-10-06 Gustavo M. Monteiro , Alexander G. Abanov , V. P. Nair

We formulate a relativistic hydrodynamic theory for fluids with spin and intrinsic dilation charges. Using an entropy-current analysis, we derive constitutive relations featuring a bulk viscosity and a dilation conductivity governing the…

High Energy Physics - Theory · Physics 2026-03-19 Zhong-Hua Zhang , Xi-Hu Lv , Xu-Guang Huang

In this paper we study equations of magnetic hydrodynamics with a stress tensor. We interpret this system as the generalized Euler equation associated with an abelian extension of the Lie algebra of vector fields with a non-trivial…

Mathematical Physics · Physics 2009-11-10 Yuly Billig

We extend the null background construction of [arXiv:1505.05677,arXiv:1509.04718] to include torsion and a conserved spin current, and use it to study gauge and gravitational anomalies in Galilean theories coupled to torsional Newton-Cartan…

High Energy Physics - Theory · Physics 2016-03-09 Akash Jain

We study anomalous hydrodynamics with a dyonic charge. We show that the local second law of thermodynamics constrains the structure of the anomaly in addition to the structure of the hydrodynamic constitutive equations. In particular, we…

High Energy Physics - Theory · Physics 2021-07-21 Yu Nakayama

This is a brief report of work performed in arXiv:1106.3576. We consider the chiral transport terms in a relativistic charged superfluid, and their relation to triangle anomalies. The terms allowed by the Second Law of thermodynamics have…

High Energy Physics - Theory · Physics 2011-08-31 Yasha Neiman , Yaron Oz

We study transport properties of a parity-odd, non-relativistic charged fluid in presence of background electric and magnetic fields. To obtain stress tensor and charged current for the non-relativistic system we start with the most generic…

High Energy Physics - Theory · Physics 2015-02-03 Nabamita Banerjee , Suvankar Dutta , Akash Jain , Dibakar Roychowdhury

Non-equilibrium black hole horizons are considered in scaling theories with generic Lifshitz invariance and an unbroken U(1) symmetry. There is also charge-hyperscaling violation associated with a non-trivial conduction exponent. The…

High Energy Physics - Theory · Physics 2017-09-14 Elias Kiritsis , Yoshinori Matsuo

The formulation of a dynamical theory of General Relativity, including matter, is viewed as a problem of coupling Einstein's theory of pure gravity, formulated as an action principle, to an independently chosen and well defined field theory…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Christian Frønsdal

We obtain the constitutive relations for the stress tensor and gauge current in $(1+1)$ dimensional hydrodynamics in the presence of both gauge and gravitational (conformal as well as diffeomorphism) anomalies. The relations between…

High Energy Physics - Theory · Physics 2015-06-19 Rabin Banerjee , Shirsendu Dey

We analyze the chiral transport terms in relativistic superfluid hydrodynamics. In addition to the spontaneously broken symmetry current, we consider an arbitrary number of unbroken symmetries and extend the results of arXiv:1105.3733. We…

High Energy Physics - Theory · Physics 2013-12-12 Yasha Neiman , Yaron Oz

We revisit the canonical formulation of spin hydrodynamics for Dirac fermions with a general thermal vorticity. The orders of the general thermal vorticity and the corresponding spin variables are considered independently from those of the…

Nuclear Theory · Physics 2024-10-11 Lixin Yang , Li Yan

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin…

High Energy Physics - Theory · Physics 2021-09-01 Domingo Gallegos , Umut Gursoy , Amos Yarom

We construct the general theory of first-order relativistic hydrodynamics for a fluid exhibiting a chiral anomaly, including all possible viscous terms allowed by symmetry. Using standard techniques, we compute the necessary and sufficient…

Nuclear Theory · Physics 2023-12-18 Nick Abboud , Enrico Speranza , Jorge Noronha

We study the problem of axial and gauge anomalies in a reducible theory involving vector and tensor gauge fields coupled in a topological way. We consider that vector and axial fermionic currents couple with the tensor field in the same…

High Energy Physics - Theory · Physics 2009-10-31 R. Amorim , J. Barcelos-Neto

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov
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