Geometrically induced magnetic catalysis and critical dimensions

Antonino Flachi, Kenji Fukushima, Vincenzo Vitagliano

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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 (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.

Original languageEnglish
Article number181601
JournalPhysical review letters
Issue number18
Publication statusPublished - 2015 May 4
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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