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Functional renormalization group (FRG) methods applied to calculations of isospin-symmetric and asymmetric nuclear matter as well as neutron matter are reviewed. The approach is based on a chiral Lagrangian expressed in terms of nucleon and…

Nuclear Theory · Physics 2017-03-08 Matthias Drews , Wolfram Weise

We present an overview of recent results and developments of the no-core shell model (NCSM), an ab initio approach to the nuclear many-body problem for light nuclei. In this approach, we start from realistic two-nucleon or two- plus…

Nuclear Theory · Physics 2009-06-19 Petr Navratil , Sofia Quaglioni , Ionel Stetcu , Bruce R. Barrett

We explore the impact of retaining three-body operators within the in-medium similarity renormalization group (IMSRG), as well as various approximations schemes. After studying two toy problems, idential fermions with a contact interaction…

Nuclear Theory · Physics 2025-01-09 S. R. Stroberg , T. D. Morris , B. C. He

We implement the dynamical renormalization group (DRG) using the hard thermal loop (HTL) approximation for the real-time nonequilibrium dynamics in hot plasmas. The focus is on the study of the relaxation of gauge and fermionic mean fields…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. de Vega

A formalism for electronic-structure calculations is presented that is based on the functional renormalization group (FRG). The traditional FRG has been formulated for systems that exhibit a translational symmetry with an associated Fermi…

Materials Science · Physics 2016-10-12 Christian Seiler , Ferdinand Evers

The family of Green's function methods based on the $GW$ approximation has gained popularity in the electronic structure theory thanks to its accuracy in weakly correlated systems combined with its cost-effectiveness. Despite this,…

Chemical Physics · Physics 2023-08-31 Antoine Marie , Pierre-François Loos

We derive a novel computational scheme for functional Renormalization Group (fRG) calculations for interacting fermions on 2D lattices. The scheme is based on the exchange parametrization fRG for the two-fermion interaction, with additional…

Strongly Correlated Electrons · Physics 2017-03-08 J. Lichtenstein , D. Sánchez de la Peña , D. Rohe , E. Di Napoli , C. Honerkamp , S. A. Maier

The dibaryon model for $NN$ interaction, which implies the formation of an intermediate six-quark bag dressed by a $\sigma$-field, is applied to the $3N$ system, where it results in a new three-body force of scalar nature between the…

Nuclear Theory · Physics 2009-11-11 V. N. Pomerantsev , V. I. Kukulin , V. T. Voronchev , Amand Faessler

The shell model solve the nuclear many-body problem in a restricted model space and takes into account the restricted nature of the space by using effective interactions and operators. In this paper two different methods for generating the…

Nuclear Theory · Physics 2009-11-11 B. K. Jennings

Single particle spin-orbit interaction energy problem in nuclear shell structure is solved through negative harmonic oscillator in the self-similar-structure shell model (SSM) [4] and considering quarks' contributions on single particle…

Nuclear Theory · Physics 2012-03-01 Xiaobin Wang , Zhengda Wang , Xiaochun Wang , Xiaodong Zhang

We reveal nuclear many-body effects on short range correlations by ab initio no-core shell model calculations of the scaling factor a2. The factor a2 characterizes the abundance of SRC pairs and is linearly related to the EMC effect. Our…

Nuclear Theory · Physics 2025-04-22 Haoyu Shang , Jiawei Chen , Rongzhe Hu , Xin Zhen , Chongji Jiang , Junchen Pei

We reformulate the density matrix renormalization group method (DMRG) in terms of a single block, instead of the standard left and right blocks used in the construction of the superblock. This version of the DMRG, which we call the puncture…

Condensed Matter · Physics 2009-10-31 M. A. Martin-Delgado , J. Rodriguez-Laguna , G. Sierra

We present a novel scheme for nuclear structure calculations based on realistic nucleon-nucleon potentials. The essential ingredient is the explicit treatment of the dominant interaction-induced correlations by means of the Unitary…

Nuclear Theory · Physics 2009-11-10 R. Roth , T. Neff , H. Hergert , H. Feldmeier

We explore the impact of nuclear matter saturation on the properties and systematics of finite nuclei across the nuclear chart. Using the ab initio in-medium similarity renormalization group (IM-SRG), we study ground-state energies and…

Nuclear Theory · Physics 2017-07-12 J. Simonis , S. R. Stroberg , K. Hebeler , J. D. Holt , A. Schwenk

We describe the use of the Density Matrix Renormalization Group method as a means of approximately solving large-scale nuclear shell-model problems. We focus on an angular-momentum-conserving variant of the method and report test results…

Nuclear Theory · Physics 2011-05-12 S. Pittel , N. Sandulescu

We analyze quantum mechanical systems using the non-perturbative renormalization group (NPRG). The NPRG method enables us to calculate quantum corrections systematically and is very effective for studying non-perturbative dynamics. We start…

Quantum Physics · Physics 2009-11-07 Ken-Ichi Aoki , Atsushi Horikoshi , Masaki Taniguchi , Haruhiko Terao

I give an outline of recent applications of the renormalisation group to effective theories of nuclear forces, focussing on the use of a Wilsonian approach to analyse systems of two or three nonrelativistic particles.

Nuclear Theory · Physics 2015-05-20 Michael C. Birse

On a finite momentum grid with N integration points and weights the Similarity Renormalization Group (SRG) with a given generator G unitarily evolves an initial interaction with a cutoff on energy differences. This steadily drives the…

Nuclear Theory · Physics 2014-04-22 E. Ruiz Arriola , S. Szpigel , V. S. Timoteo

The ab initio no-core shell model (NCSM) is extended to include a realistic three-body interaction in calculations for p-shell nuclei. The NCSM formalism is reviewed and new features needed in calculations with three-body forces are…

Nuclear Theory · Physics 2009-11-10 P. Navratil , W. E. Ormand

The linear perturbation group transformation (LPRG) is used to study the thermodynamics of the axial next-nearest-neighbor Ising model with four spin interactions (extended ANNNI) in a field. The LPRG for weakly interacting Ising chains is…

Statistical Mechanics · Physics 2013-03-25 J. Sznajd