TY - JOUR
T1 - Fermion number anomaly with the fluffy mirror fermion
AU - Okumura, Ken Ichi
AU - Suzuki, Hiroshi
N1 - Funding Information:
We would like to thank Hidenori Fukaya, Dorota M. Grabowska, David B. Kaplan, Tetsuya Onogi, and Ryo Yamamura for explanations of their works. The work of H. S. is supported in part by JSPS Grants-in-Aid for Scientific Research Grant Number JP16H03982.
Publisher Copyright:
© The Author(s) 2016.
PY - 2016/12
Y1 - 2016/12
N2 - 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.
AB - 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.
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U2 - 10.1093/ptep/ptw167
DO - 10.1093/ptep/ptw167
M3 - Article
AN - SCOPUS:85074263730
VL - 2016
JO - Progress of Theoretical and Experimental Physics
JF - Progress of Theoretical and Experimental Physics
SN - 2050-3911
IS - 12
M1 - ptw167
ER -