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Anomalous Transport Due to the Conformal Anomaly
1CNRS, Laboratoire de Mathématiques et Physique Théorique UMR 7350, Université de Tours, Tours 37200 France; Laboratory of Physics of Living Matter, Far Eastern Federal University, Sukhanova 8, Vladivostok 690950, Russia; and Department of Physics and Astronomy, University of Gent, Krijgslaan 281, S9, B-9000 Gent, Belgium.
Physical Review Letters
|October 15, 2016
Summary
The scale anomaly in field theories generates novel electrical effects in electromagnetic and gravitational fields. These effects include opposing currents in electric fields and transverse currents in magnetic fields, linked to the theory's beta function.
Area of Science:
- Theoretical physics
- Quantum field theory
- Anomalous transport phenomena
Background:
- Scale (conformal) anomaly in field theories.
- Interaction of field theories with external electromagnetic and gravitational fields.
- Existing knowledge on anomalous transport.
Purpose of the Study:
- To investigate new anomalous transport effects arising from the scale anomaly.
- To explore the emergence of these effects in external electromagnetic and inhomogeneous gravitational backgrounds.
- To characterize the scale electric and scale magnetic effects.
Main Methods:
- Analysis of scale anomaly in field theories.
- Application to quantum electrodynamics (QED) in inflating geometry.
- Investigation in static, spatially inhomogeneous gravitational backgrounds.
Main Results:
- The scale anomaly generates an electric current opposing the background electric field (scale electric effect) in inflating geometry.
- A dissipationless electric current flows transversely to magnetic fields and inhomogeneity gradients (scale magnetic effect) in static backgrounds.
- Anomalous currents are found to be proportional to the theory's beta function.
Conclusions:
- The scale anomaly is a source of novel anomalous transport effects.
- These effects manifest as unique electrical currents under specific electromagnetic and gravitational conditions.
- The proportionality to the beta function offers a quantitative link between anomalies and transport properties.
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