How to Use Renormalization Group Analysis in Lattice Nuclear Effective Field Theory

Koji Harada, Satoru Sasabe, Masanobu Yahiro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationRecent Progress in Few-Body Physics - Proceedings of the 22nd International Conference on Few-Body Problems in Physics, FB22 2018
EditorsN.A. Orr, F.M. Marqués, M. Ploszajczak, J. Carbonell
PublisherSpringer
Pages415-419
Number of pages5
ISBN (Print)9783030323561
DOIs
Publication statusPublished - Jan 1 2020
Event22nd International Conference on Few-Body Problems in Physics, FB22 2018 - Caen, France
Duration: Jul 9 2018Jul 13 2018

Publication series

NameSpringer Proceedings in Physics
Volume238
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941

Conference

Conference22nd International Conference on Few-Body Problems in Physics, FB22 2018
CountryFrance
CityCaen
Period7/9/187/13/18

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Harada, K., Sasabe, S., & Yahiro, M. (2020). How to Use Renormalization Group Analysis in Lattice Nuclear Effective Field Theory. In N. A. Orr, F. M. Marqués, M. Ploszajczak, & J. Carbonell (Eds.), 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