Fermion number anomaly with the fluffy mirror fermion

Ken Ichi Okumura, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Quite recently, Grabowska and Kaplan presented a 4-dimensional lattice formulation of chiral gauge theories based on the chiral overlap operator. We study this formulation from the perspective of the fermion number anomaly and possible associated phenomenology. A simple argument shows that the consistency of the formulation implies that the fermion with the opposite chirality to the physical one, the “fluffy mirror fermion” or “fluff”, suffers from the fermion number anomaly in the same magnitude (with the opposite sign) as the physical fermion. This immediately shows that if at least one of the fluff quarks is massless, the formulation provides a simple viable solution to the strong CP problem. Also, if the fluff interacts with gravity essentially in the same way as the physical fermion, the formulation can realize the asymmetric dark matter scenario.

Original languageEnglish
Article numberptw167
JournalProgress of Theoretical and Experimental Physics
Issue number12
Publication statusPublished - Dec 2016

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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