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High Energy Physics - Theory

arXiv:1502.06090 (hep-th)
[Submitted on 21 Feb 2015 (v1), last revised 27 Apr 2015 (this version, v2)]

Title:Geometrically induced magnetic catalysis and critical dimensions

Authors:Antonino Flachi, Kenji Fukushima, Vincenzo Vitagliano
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Abstract:We discuss the combined effect of magnetic fields and geometry in interacting fermionic systems. At leading order in the heat-kernel expansion, the infrared singularity (that in flat space leads to the magnetic catalysis) is regulated by the chiral gap effect, and the catalysis is deactivated by the effect of the scalar curvature. We discover that an infrared singularity is found in higher-order terms that mix the magnetic field with curvature, and these lead to a novel form of geometrically induced magnetic catalysis. The dynamical mass squared is then modified not only due to the chiral gap effect by an amount proportional to the curvature, but also by a magnetic shift $\propto (4-D)eB$, where $D$ represents the number of space-time dimensions. We argue that $D=4$ is a critical dimension across which the behavior of the magnetic shift changes qualitatively.
Comments: 5 pages; minor changes
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1502.06090 [hep-th]
  (or arXiv:1502.06090v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1502.06090
Journal reference: Phys. Rev. Lett. 114, 181601 (2015)
Related DOI: https://doi.org/10.1103/PhysRevLett.114.181601

Submission history

From: Antonino Flachi [view email]
[v1] Sat, 21 Feb 2015 09:42:45 UTC (12 KB)
[v2] Mon, 27 Apr 2015 23:18:30 UTC (12 KB)
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