This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT; we also survey the varied frontiers of EFT for finite nuclei and nuclear matter.

arXiv:0801.0729Annual Review of Nuclear and Particle ScienceApr 17, 200831 citations

Nuclear Physics A

On the many-body foundation of the nuclear field theory

Daniel R. Bes, Ricardo A. Broglia, G.G. Dussel, Roberto J. Liotta, R.P.J. Perazzo

Published Mar 1, 1976• 74 citations

Publisher

DOI: 10.1016/0375-9474(76)90017-8

Related papers

A note on the foundation of the nuclear field theory

Hugo Reinhardt

Physics Letters BAug 1, 19790 citations

Quantum computing for effective nuclear lattice model

Zhushuo Liu, Jia-ai Shi, Bing-Nan Lu +1 more

Nuclear lattice effective field theory has become an important framework for quantum many-body calculations in nuclear physics, yet its classical implementation remains increasingly challenging for more general interactions and larger systems. In this work, we develop a quantum-computing framework for a three-dimensional nuclear lattice model. We construct a variational quantum eigensolver framework and systematically compare the Jordan-Wigner and Gray code encodings. Our analysis shows that for the few-body systems considered here, Gray code combined with symmetry reduction yields a substantially more compact qubit representation. Based on this framework, we perform numerical studies for $^{2}\mathrm{H}$ , $^{3}\mathrm{H}$ , and $^{4}\mathrm{He}$ on finite lattices. The calculated ground-state energies exhibit a clear approach toward the corresponding experimental binding energies as the lattice size increases. These results provide a proof-of-principle foundation for future quantum simulations of nuclear many-body problems.Nuclear lattice effective field theory has become an important framework for quantum many-body calculations in nuclear physics, yet its classical implementation remains increasingly challenging for more general interactions and larger systems. In this work, we develop a quantum-computing framework for a three-dimensional nuclear lattice model. We construct a variational quantum eigensolver framework and systematically compare the Jordan-Wigner and Gray code encodings. Our analysis shows that for the few-body systems considered here, Gray code combined with symmetry reduction yields a substantially more compact qubit representation. Based on this framework, we perform numerical studies for $^{2}\mathrm{H}$, $^{3}\mathrm{H}$, and $^{4}\mathrm{He}$ on finite lattices. The calculated ground-state energies exhibit a clear approach toward the corresponding experimental binding energies as the lattice size increases. These results provide a proof-of-principle foundation for future quantum simulations of nuclear many-body problems.

quant-pharXiv:2604.13430Apr 16, 20260 citations

Applications of a Relativistic Quantum Field Theory to the Nuclear Many-Body Problem

C. E. Price

Jan 1, 19860 citations

Many-body theory of nuclear matter

J.P. Jeukenne, A Lejeune, Claude Mahaux

Physics ReportsMay 1, 1976772 citations

Real-time calculations of many-body dynamics in quantum systems

Takashi Nakatsukasa

Real-time computation of time-dependent quantum mechanical problems are presented for nuclear many-body problems. Quantum tunneling in nuclear fusion at low energy is described using a time-dependent wave packet. A real-time method of calculating strength functions using the time-dependent Schrödinger equation is utilized to properly treat the continuum boundary condition. To go beyond the few-body models, we resort to the density-functional theory. The nuclear mean-field models are briefly reviewed to illustrate its foundation and necessity of state dependence in effective interactions. This state dependence is successfully taken into account by the density dependence, leading to the energy density functional. Photoabsorption cross sections in 238 U are calculated with the real-time method for the time-dependent density-functional theory.Real-time computation of time-dependent quantum mechanical problems are presented for nuclear many-body problems. Quantum tunneling in nuclear fusion at low energy is described using a time-dependent wave packet. A real-time method of calculating strength functions using the time-dependent Schrödinger equation is utilized to properly treat the continuum boundary condition. To go beyond the few-body models, we resort to the density-functional theory. The nuclear mean-field models are briefly reviewed to illustrate its foundation and necessity of state dependence in effective interactions. This state dependence is successfully taken into account by the density dependence, leading to the energy density functional. Photoabsorption cross sections in 238 U are calculated with the real-time method for the time-dependent density-functional theory.

arXiv:1209.5384Journal of Physics Conference SeriesDec 20, 20120 citations

Effective Field Theory and Finite-Density Systems

R. J. Furnstahl, Gautam Rupak, Thomas Schäfer

arXiv:0801.0729Annual Review of Nuclear and Particle ScienceApr 17, 200831 citations

^{2}\mathrm{H}

^{3}\mathrm{H}

, and

^{4}\mathrm{He}

on finite lattices. The calculated ground-state energies exhibit a clear approach toward the corresponding experimental binding energies as the lattice size increases. These results provide a proof-of-principle foundation for future quantum simulations of nuclear many-body problems.