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Geometrically induced magnetic catalysis and critical dimensions
Antonino Flachi1, Kenji Fukushima2, Vincenzo Vitagliano1
1Multidisciplinary Center for Astrophysics and Department of Physics, Instituto Superior Técnico, University of Lisbon, Avenida Rovisco Pais 1, 1049-001 Lisboa, Portugal.
Physical Review Letters
|May 23, 2015
Summary
The study reveals how magnetic fields and geometry interact in fermionic systems. Geometry deactivates magnetic catalysis at leading order, but higher-order effects create a novel, geometrically induced magnetic catalysis.
Area of Science:
- Condensed Matter Physics
- Quantum Field Theory
- High Energy Physics
Background:
- Interacting fermionic systems are influenced by external fields and spacetime geometry.
- Magnetic catalysis in flat spacetime leads to infrared singularities.
- Scalar curvature's effect on chiral gap and magnetic catalysis is significant.
Purpose of the Study:
- To investigate the combined effects of magnetic fields and geometry on fermionic systems.
- To explore the interplay between magnetic fields, curvature, and infrared singularities.
- To identify novel forms of geometrically induced magnetic catalysis.
Main Methods:
- Utilizing the heat-kernel expansion to analyze fermionic systems.
- Examining the leading-order and higher-order contributions to the system's behavior.
- Investigating the role of scalar curvature and magnetic fields.
Main Results:
- Chiral gap effect regulates infrared singularity, deactivating magnetic catalysis in flat space.
- Higher-order terms mixing magnetic fields and curvature lead to a new form of magnetic catalysis.
- Dynamical mass squared is modified by curvature and a magnetic shift dependent on spacetime dimension (D).
Conclusions:
- The scalar curvature counteracts magnetic catalysis, while mixed terms reintroduce it.
- A critical dimension D=4 is identified where the magnetic shift's behavior changes qualitatively.
- The study highlights the intricate relationship between fundamental forces and spacetime geometry.
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