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Many-body perturbation theory is often formulated in terms of an expansion in the dressed instead of the bare Green's function, and in the screened instead of the bare Coulomb interaction. However, screening can be calculated on different…

Strongly Correlated Electrons · Physics 2021-09-15 Walter Tarantino , Bernardo S. Mendoza , Pina Romaniello , J. A. Berger , Lucia Reining

We present an iterative algorithm to count Feynman diagrams via many-body relations. The algorithm allows us to count the number of diagrams of the exact solution for the general fermionic many-body problem at each order in the interaction.…

Strongly Correlated Electrons · Physics 2018-08-27 Fabian B. Kugler

Effective field theories include contact-range interactions (or counterterms) for two reasons: representing the unknown short-range physics in a model independent manner and ensuring the cutoff independence of observables. Both are…

Nuclear Theory · Physics 2026-04-14 Manuel Pavon Valderrama

This review article presents historical developments and recent advances in our understanding on the three-body forces and Efimov physics, from an interdisciplinary viewpoint encompassing nuclear physics and cold atoms. Theoretical attempts…

We address the issue of determining an effective two-body interaction for mean-field calculations of energies of many-body systems. We show that the effective interaction is proportional to the phase shift, and demonstrate this result in…

Other Condensed Matter · Physics 2007-05-23 A. Collin , P. Massignan , C. J. Pethick

The Newtonian concept of force may be useful in some aspects of the dynamics of many-particle quantum systems such as fissioning nuclei. Following Ehrenfest's method, we show that the quantum kinetic force between parts of an extended…

Nuclear Theory · Physics 2020-06-16 G. F. Bertsch

The conservation of energy, linear momentum and angular momentum are important drivers for our physical understanding of the evolution of the Universe. These quantities are also conserved in Newton's laws of motion under gravity…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 Simon Portegies Zwart , Tjarda Boekholt

Knowledge of all correlation functions of a system is equivalent to solving the corresponding many-body problem. Already a finite set of correlation functions can be sufficient to describe a quantum many-body system if correlations…

The challenging nuclear many-body problem is discussed along with classifications and qualitative descriptions of existing methods and models. We present detailed derivations of a new method where cluster correlations co-exist with an…

Nuclear Theory · Physics 2018-07-04 D. Hove , E. Garrido , P. Sarriguren , D. V. Fedorov , H. O. U. Fynbo , A. S. Jensen , N. T. Zinner

The virtues of an effective field theory (EFT) approach to many-body problems are illustrated by deriving the expansion for the energy of an homogeneous, interacting Fermi gas at low density and zero temperature. A renormalization scheme…

Nuclear Theory · Physics 2009-11-06 H. -W. Hammer , R. J. Furnstahl

In recent years, nuclear physics has benefited greatly from the development of powerful ab initio many-body methods and their combination with interactions from chiral effective field theory. With increasing computational power and…

Nuclear Theory · Physics 2020-08-18 I. Tews , Z. Davoudi , A. Ekström , J. D. Holt , J. E. Lynn

The mapping, exact or approximate, of a many-body problem onto an effective single-body problem is one of the most widely used conceptual and computational tools of physics. Here, we propose and investigate the inverse map of effective…

Other Condensed Matter · Physics 2009-11-13 J. P. Coe , K. Capelle , I. D'Amico

In this work we introduce an extended version of the formalism proposed originally by Taurines et al. that considers the effects of many-body forces simulated by non-linear self-couplings and meson-meson interaction contributions. In this…

Solar and Stellar Astrophysics · Physics 2015-07-17 R. O. Gomes , V. Dexheimer , S. Schramm , C. A. Z. Vasconcellos

The dynamical mean-field concept of approximating an unsolvable many-body problem in terms of the solution of an auxiliary quantum impurity problem, introduced to study bulk materials with a continuous energy spectrum, is here extended to…

Strongly Correlated Electrons · Physics 2011-03-04 Nan Lin , C. A. Marianetti , Andrew J. Millis , David R. Reichman

The role of three-nucleon forces in ab initio calculations of nuclear systems is investigated. The difference between genuine and induced many-nucleon forces is emphasized. Induced forces arise in the process of solving the nuclear…

Nuclear Theory · Physics 2015-06-22 Peter U. Sauer

The many-body theory of degenerate systems is described in detail. More generally, this theory applies to systems with an initial state that cannot be described by a single Slater determinant. The double-source (or closed-time-path)…

Strongly Correlated Electrons · Physics 2007-05-23 Christian Brouder

Compound-nuclear processes play an important role for nuclear physics applications and are crucial for our understanding of the nuclear many-body problem. Despite intensive interest in this area, some of the available theoretical…

Nuclear Theory · Physics 2015-06-19 Brett V. Carlson , Jutta E. Escher , Mahir S. Hussein

We advocate an effective field theory approach to anomalous couplings. The effective field theory approach is the natural way to extend the standard model such that the gauge symmetries are respected. It is general enough to capture any…

High Energy Physics - Phenomenology · Physics 2015-06-05 Celine Degrande , Nicolas Greiner , Wolfgang Kilian , Olivier Mattelaer , Harrison Mebane , Tim Stelzer , Scott Willenbrock , Cen Zhang

The recent interest in aspects common to quantum information and condensed matter has prompted a prosperous activity at the border of these disciplines that were far distant until few years ago. Numerous interesting questions have been…

Quantum Physics · Physics 2008-11-26 Luigi Amico , Rosario Fazio , Andreas Osterloh , Vlatko Vedral

A numerically implementable Multi-scale Many-Body approach to strongly correlated electron systems is introduced. An extension to quantum cluster methods, it approximates correlations on any given length-scale commensurate with the strength…

Strongly Correlated Electrons · Physics 2012-01-04 C. Slezak , M. Jarrell , Th. Maier , J. Deisz