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Thermal transport, geometry, and anomalies
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Thermal transport, geometry, and anomalies
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The relation between thermal transport and gravity was highlighted in the seminal work by Luttinger in 1964, and has been extensively developed to understand thermal transport, most notably the thermal Hall effect. Here we review the novel concepts that relate thermal transport, the geometry of space-time and quantum field theory anomalies. We give emphasis to the cross-pollination between emergent ideas in condensed matter, notably Weyl and Dirac semimetals, and the understanding of gravitational and scale anomalies stemming from high-energy physics. We finish by relating to recent experimental advances and presenting a perspective of several open problems.
Forward citations
Cited by 5 Pith papers
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Hydrodynamics of perfect fluids with anomalies from the fermionic path integral
The fermionic path integral in the infrared yields hydrodynamic actions for anomalous perfect fluids, including four- and five-dimensional transgression forms from anomaly inflow.
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Hydrodynamics of perfect fluids with anomalies from the fermionic path integral
The fermionic path integral in an assumed infrared fluid phase yields the three previously conjectured anomalous hydrodynamic actions, with the anomaly terms identified as transgression forms and a two-parameter gauge...
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Weyl anomaly induced transport in hydrodynamics
The Weyl anomaly induces a new non-dissipative current in accelerated fluids that fixes the electromagnetic-acceleration coupling at second order in hydrodynamics.
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Chiral Transport in Metric-Affine Geometries
Derives nonmetricity-mediated chiral separation effects for axial currents in equilibrium fermionic fluids using anomaly descent and transgression techniques.
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Anomalous Transport from Effective Field Theory
Unified computation of chiral anomalous transport effects including mass corrections from integrating out a Dirac fermion in EFT at finite temperature, showing physical currents differ from Chern-Simons terms.
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