## Abstract

We describe the finite volume effects of CP-odd quantities, such as the neutron electric dipole moment and the anapole moment in the θ-vacuum, under different topological sectors. We evaluate the three-point Green's functions for the electromagnetic current in a fixed nontrivial topological sector in order to extract these CP-odd observables. We discuss the role of zero modes in the CP-odd Green's function and show that, in the quenched approximation, there is a power divergence in the quark mass for CP-odd quantities at finite volume.

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

Pages (from-to) | 1971-1982 |

Number of pages | 12 |

Journal | Modern Physics Letters A |

Volume | 24 |

Issue number | 25 |

DOIs | |

State | Published - Aug 20 2009 |

### Bibliographical note

Funding Information:This work was supported by U.S. DOE grant DE-FG05-84ER40154. The author wishes to thank S. Aoki, S. Brodsky, P. deForcrand, S. Gardner, P. Hasenfratz and M. Lüscher for useful discussions. He also acknowledge the hospitality received while visiting CERN where this work is initiated in October 2006.

### Funding

This work was supported by U.S. DOE grant DE-FG05-84ER40154. The author wishes to thank S. Aoki, S. Brodsky, P. deForcrand, S. Gardner, P. Hasenfratz and M. Lüscher for useful discussions. He also acknowledge the hospitality received while visiting CERN where this work is initiated in October 2006.

Funders | Funder number |
---|---|

Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory | DE-FG05-84ER40154 |

## Keywords

- Electric dipole moment
- Neutron
- Topology

## ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Astronomy and Astrophysics
- General Physics and Astronomy