TY - GEN

T1 - How to Use Renormalization Group Analysis in Lattice Nuclear Effective Field Theory

AU - Harada, Koji

AU - Sasabe, Satoru

AU - Yahiro, Masanobu

N1 - Funding Information:
Acknowledgements This work was supported by JSPS KAKENHI Grants No. 15K05082 (K.H), No. 26-5861 (S.S), and No. 26400278 (M.Y.).
Publisher Copyright:
© Springer Nature Switzerland AG 2020.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

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U2 - 10.1007/978-3-030-32357-8_67

DO - 10.1007/978-3-030-32357-8_67

M3 - Conference contribution

AN - SCOPUS:85078433580

SN - 9783030323561

T3 - Springer Proceedings in Physics

SP - 415

EP - 419

BT - Recent Progress in Few-Body Physics - Proceedings of the 22nd International Conference on Few-Body Problems in Physics, FB22 2018

A2 - Orr, N.A.

A2 - Marqués, F.M.

A2 - Ploszajczak, M.

A2 - Carbonell, J.

PB - Springer

T2 - 22nd International Conference on Few-Body Problems in Physics, FB22 2018

Y2 - 9 July 2018 through 13 July 2018

ER -