Hydrodynamics with triangle anomalies.
By D. Son, Piotr Surówka. Physical Review Letters, 2009
840 citations recorded by the source corpus.
We consider the hydrodynamic regime of theories with quantum anomalies for global currents. We show that a hitherto discarded term in the conserved current is not only allowed by symmetries, but is in fact required by triangle anomalies and the second law of thermodynamics. This term leads to a number of new effects, one of which is chiral separation in a rotating fluid at nonzero chemical potential. The new kinetic coefficients can be expressed, in a unique fashion, through the anomaly coefficients and the equation of state. We briefly discuss the relevance of this new hydrodynamic term for physical situations, including heavy-ion collisions.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/d85af365650b2c0df4af396399fdaff998d40e2f
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Citations in the corpus
- Notes on Anomaly Induced Transport (2016, background): “In [38, 39] it was shown that these coefficients are almost completely determined by the second law (5.”
- Holographic endpoint of spatially modulated phase transition (2010, background): “ent Jat the boundary. Because of the Chern-Simons term, the current is anomalous. We therefore treat the boundary gauge eld as an external and non-dynamical source as in recent 14 papers, for example [7, 8]. Note that the background solution we consider is inhomogeneous, carrying the momentum k. In ”
- The fluid/gravity correspondence: a new perspective on the membrane paradigm (2010, neutral): “Another intriguing consequence is the appearance of a new pseudo-vector contribution to the charge current15, which has been ignored by Landau and Lifshitz [36], but which may have potentially observable effects [58].”
- Constraints on fluid dynamics from equilibrium partition functions (2012, methodology): “The final results of this section agree with the slight generalization of Son and Surowka [3] presented in [21],[4] as we now explain.”
- Relativistic hydrodynamics with general anomalous charges (2010, methodology): “Our result for the first-order constitutive relations is a direct generalization of [1].”
- Magnetic Brane Solutions in AdS (2009, background): “This is in turn related to the triangle anomaly, and presumably gives a microscopic explanation for some of the effects noted in [12].”
- A theory of first order dissipative superfluid dynamics (2011, background): “In [20], Son and Surówka observed that, in the presence of triangle anomalies, the entropy current of ordinary fluids (non superfluids) deviates from its canonical form.”
- Relativistic magnetohydrodynamics (2017, background): “These include: a systematic derivative expansion in hydrodynamics [2], an equivalence between hydrodynamics and black hole dynamics [3], the manifestation of chiral anomalies in hydrodynamic equations [4], the relevance of partition functions [5, 6], elucidation of the role of the entropy current [7”
- Generalized global symmetries and dissipative magnetohydrodynamics (2016, background): “It is now well understood that this form for the entropy current is not unique; for example, in the hydrodynamics of fluids with anomalous global symmetries (and thus with parity violation), the second law requires that extra terms must be added to the entropy current, resulting eventually in extra ”
- Anomaly inflow and thermal equilibrium (2013, background): “15) Let us see how this machinery works in detail by recomputing the U(1)3 anomaly-induced transport in four dimensions [5].”
- Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion (2011, background): “As is well known, absent anomalies [9], the only one-derivative corrections one can write down for hydrodynamics are dissipative—they are associated with shear viscosity, bulk viscosity, and conductivity [10].”