The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei
By H. Hergert, Scott Bogner, Titus Morris, A. Schwenk, K. Tsukiyama. 2015
413 citations recorded by the source corpus.
Abstract We present a comprehensive review of the In-Medium Similarity Renormalization Group (IM-SRG), a novel ab initio method for nuclei. The IM-SRG employs a continuous unitary transformation of the many-body Hamiltonian to decouple the ground state from all excitations, thereby solving the many-body problem. Starting from a pedagogical introduction of the underlying concepts, the IM-SRG flow equations are developed for systems with and without explicit spherical symmetry. We study different IM-SRG generators that achieve the desired decoupling, and how they affect the details of the IM-SRG flow. Based on calculations of closed-shell nuclei, we assess possible truncations for closing the system of flow equations in practical applications, as well as choices of the reference state. We discuss the issue of center-of-mass factorization and demonstrate that the IM-SRG ground-state wave function exhibits an approximate decoupling of intrinsic and center-of-mass degrees of freedom, similar to Coupled Cluster (CC) wave functions. To put the IM-SRG in context with other many-body methods, in particular many-body perturbation theory and non-perturbative approaches like CC, a detailed perturbative analysis of the IM-SRG flow equations is carried out. We conclude with a discussion of ongoing developments, including IM-SRG calculations with three-nucleon forces, the multi-reference IM-SRG for open-shell nuclei, first non-perturbative derivations of shell-model interactions, and the consistent evolution of operators in the IM-SRG. We dedicate this review to the memory of Gerry Brown, one of the pioneers of many-body calculations of nuclei.
Subfields: Nuclear and High Energy Physics, Physical and Theoretical Chemistry
View Paper: https://www.semanticscholar.org/paper/08d88dbe8ad413d1924cb1fb4c0d750eccf2bcd4
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Citations in the corpus
- A Guided Tour of ab initio Nuclear Many-Body Theory (2020, methodology): “that is widely used in applications, although it gives rise to stiff flow equations, and more efficient alternatives exist for specific applications [1, 11, 53].”
- Neutrinoless double beta decay versus other probes of heavy sterile neutrinos (2019, methodology): “There are now numerous other computational tools being used for ab initio calculations of light NMEs for both light and heavy nuclei, including improved chiral effective field theory [208], renormalisation group [209, 210] and lattice QCD techniques [211].”