scholarly journals Spin-free formulation of the multireference driven similarity renormalization group: A benchmark study of first-row diatomic molecules and spin-crossover energetics

2021 ◽  
Vol 155 (11) ◽  
pp. 114111
Author(s):  
Chenyang Li ◽  
Francesco A. Evangelista
Keyword(s):  
Renormalization Group ◽  
Spin Crossover ◽  
Diatomic Molecules ◽  
Similarity Renormalization Group ◽  
Benchmark Study ◽  
Group A

scholarly journals The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei

2016 ◽  
Vol 621 ◽  
pp. 165-222 ◽  
Author(s):  
H. Hergert ◽  
S.K. Bogner ◽  
T.D. Morris ◽  
A. Schwenk ◽  
K. Tsukiyama
Keyword(s):  
Renormalization Group ◽  
Ab Initio ◽  
Ab Initio Method ◽  
Similarity Renormalization Group ◽  
Group A

scholarly journals Ab initio electromagnetic observables with the in-medium similarity renormalization group

2017 ◽  
Vol 96 (3) ◽  
Author(s):  
N. M. Parzuchowski ◽  
S. R. Stroberg ◽  
P. Navrátil ◽  
H. Hergert ◽  
S. K. Bogner
Keyword(s):  
Renormalization Group ◽  
Ab Initio ◽  
Similarity Renormalization Group

scholarly journals A MANIFESTLY GAUGE INVARIANT AND UNIVERSAL CALCULUS FORSU(N) YANG–MILLS

2006 ◽  
Vol 21 (23n24) ◽  
pp. 4627-4761 ◽  
Author(s):  
OLIVER J. ROSTEN
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Explicit Dependence ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Group A ◽  
Β Function ◽  
Exact Renormalization Group

Within the framework of the Exact Renormalization Group, a manifestly gauge invariant calculus is constructed for SU (N) Yang–Mills. The methodology is comprehensively illustrated with a proof, to all orders in perturbation theory, that the β function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these nonuniversal contributions is done in an entirely diagrammatic fashion.

scholarly journals Conformal invariance in the nonperturbative renormalization group: A rationale for choosing the regulator

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Ivan Balog ◽  
Gonzalo De Polsi ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Renormalization Group ◽  
Conformal Invariance ◽  
Group A ◽  
Nonperturbative Renormalization

scholarly journals Nonempirical Interactions for the Nuclear Shell Model: An Update

2019 ◽  
Vol 69 (1) ◽  
pp. 307-362 ◽  
Author(s):  
S. Ragnar Stroberg ◽  
Heiko Hergert ◽  
Scott K. Bogner ◽  
Jason D. Holt
Keyword(s):  
Renormalization Group ◽  
Ab Initio ◽  
Shell Model ◽  
Model Parameters ◽  
Nuclear Shell Model ◽  
Many Body ◽  
Similarity Renormalization Group ◽  
Realistic Interaction ◽  
Three Body ◽  
Nuclear Shell

The nuclear shell model has perhaps been the most important conceptual and computational paradigm for the understanding of the structure of atomic nuclei. While the shell model has been used predominantly in a phenomenological context, there have been efforts stretching back more than half a century to derive shell model parameters based on a realistic interaction between nucleons. More recently, several ab initio many-body methods—in particular, many-body perturbation theory, the no-core shell model, the in-medium similarity renormalization group, and coupled-cluster theory—have developed the capability to provide effective shell model Hamiltonians. We provide an update on the status of these methods and investigate the connections between them and their potential strengths and weaknesses, with a particular focus on the in-medium similarity renormalization group approach. Three-body forces are demonstrated to be important for understanding the modifications needed in phenomenological treatments. We then review some applications of these methods to comparisons with recent experimental measurements, and conclude with some remaining challenges in ab initio shell model theory.

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