### Abstract

We propose a new approach to Nuclear Effective Field Theory (NEFT) on a lattice on the basis of Renormalization Group (RG) analysis. In order to perform Markov-chain Monte Carlo lattice simulation of NEFT, we introduce auxiliary fields to integrate nucleon field so that its effects are represented as a determinant. The problem is that the determinant becomes complex and cannot be considered as a part of probability distribution function. We introduce a reweighting method, in which the reference determinant is chosen to be optimal in the RG analysis sense: the reference determinant contains only the relevant interactions and the closest to the original determinant. We calculate the standard deviation of the absolute value of the reweighting factor in a simple model, isospin-symmetric S-wave NLO NEFT without pions, and explain why our choice is optimal.

Original language | English |
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Title of host publication | Recent Progress in Few-Body Physics - Proceedings of the 22nd International Conference on Few-Body Problems in Physics, FB22 2018 |

Editors | N.A. Orr, F.M. Marqués, M. Ploszajczak, J. Carbonell |

Publisher | Springer |

Pages | 415-419 |

Number of pages | 5 |

ISBN (Print) | 9783030323561 |

DOIs | |

Publication status | Published - Jan 1 2020 |

Event | 22nd International Conference on Few-Body Problems in Physics, FB22 2018 - Caen, France Duration: Jul 9 2018 → Jul 13 2018 |

### Publication series

Name | Springer Proceedings in Physics |
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Volume | 238 |

ISSN (Print) | 0930-8989 |

ISSN (Electronic) | 1867-4941 |

### Conference

Conference | 22nd International Conference on Few-Body Problems in Physics, FB22 2018 |
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Country | France |

City | Caen |

Period | 7/9/18 → 7/13/18 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Recent Progress in Few-Body Physics - Proceedings of the 22nd International Conference on Few-Body Problems in Physics, FB22 2018*(pp. 415-419). (Springer Proceedings in Physics; Vol. 238). Springer. https://doi.org/10.1007/978-3-030-32357-8_67