### Abstract

If one uses a general class of Ginsparg-Wilson operators, it is known that CP symmetry is spoiled in chiral gauge theory for a finite lattice spacing and the Majorana fermion is not defined in the presence of chiral symmetric Yukawa couplings. We summarize these properties in the form of a theorem for the general Ginsparg-Wilson relation.

Original language | English |
---|---|

Pages (from-to) | 197-201 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 538 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Jun 27 2002 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*538*(1-2), 197-201. https://doi.org/10.1016/S0370-2693(02)01936-6

**Ginsparg-Wilson operators and a no-go theorem.** / Fujikawa, Kazuo; Ishibashi, Masato; Suzuki, Hiroshi.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 538, no. 1-2, pp. 197-201. https://doi.org/10.1016/S0370-2693(02)01936-6

}

TY - JOUR

T1 - Ginsparg-Wilson operators and a no-go theorem

AU - Fujikawa, Kazuo

AU - Ishibashi, Masato

AU - Suzuki, Hiroshi

PY - 2002/6/27

Y1 - 2002/6/27

N2 - If one uses a general class of Ginsparg-Wilson operators, it is known that CP symmetry is spoiled in chiral gauge theory for a finite lattice spacing and the Majorana fermion is not defined in the presence of chiral symmetric Yukawa couplings. We summarize these properties in the form of a theorem for the general Ginsparg-Wilson relation.

AB - If one uses a general class of Ginsparg-Wilson operators, it is known that CP symmetry is spoiled in chiral gauge theory for a finite lattice spacing and the Majorana fermion is not defined in the presence of chiral symmetric Yukawa couplings. We summarize these properties in the form of a theorem for the general Ginsparg-Wilson relation.

UR - http://www.scopus.com/inward/record.url?scp=0037182840&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037182840&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(02)01936-6

DO - 10.1016/S0370-2693(02)01936-6

M3 - Article

AN - SCOPUS:0037182840

VL - 538

SP - 197

EP - 201

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -