|Koji Harada||Last modified date：2023.10.05|
Professor / Graduate School of Science, Department of Physics / Division for Theoretical Natural Science / Faculty of Arts and Science
|1.||Koji Harada, Satoru Sasabe, and Masanobu Yahiro, How to use renormalization group analysis in lattice nuclear effective theory, XXII International Conference on Few-Body Problems in Physics, July 2018, 2018.07, 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..
|2.||Confetti and Nuclear Explosion.|
|3.||What does the renormalization group analysis of Nuclear Effective Field Theory tell us?.|
|4.||Koji Harada, Life without dimerons, The 6th International Conference on the Exact Renormalization Group, 2012.09, We formulate the three-body nonperturbative renormalization group equation without introducing an auxiliary field, known as a dimeron. We show that the Efimov parameter is obtained at the leading order within a 3% error. The previously obtained result with a dimeron has a 40% error. We point out that the previous formulation with dimerons has missing contributions. We also find a nobel nontrivial fixed point..|
|5.||Koji Harada, Hirofumi Kubo, Tatsuya Sakaeda, Yuki Yamamoto, Wilsonian RG analysis of the P-wave nucleon-nucleon scattering including pions, The 20th International IUPAP Conference on Few-Body Problems in Physics (FB20), 2012.08, We analyze the P-wave nucleon-nucleon scattering including pions in the nonperturbative renormalization group method. Although it has been argued that this channel has an inconsistency of the power counting, we show that there is no such an inconsistency. A set of nonperturbative renormalization group equations is obtained..|
|7.||Skyrme Model Revisited:
An Effective Theory Approach and Application to the Pentaquarks.
|8.||Analysis of Nuclear Effective Theory with Nonperturbative Renormalization Group.|
|9.||Theta^+ resonance from the 1/N_c point of view.|
|10.||Analysis of Nuclear Effective Theory in terms of Non-Perturbative Renormalization Group.|
|11.||3 Nucleon Forces From The 1/N_c Expansion Point of View.|
|12.||RPA for the light-front massive Schwinger model.|
|13.||Theta vacuum in the massive Schwinger model.|