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Strongly coupled quantum field theories in $(1+1)$ dimensions are notoriously hard to solve non-perturbatively. Variational methods, despite their success for quantum many-body physics on the lattice, have long lacked a natural ansatz…

高能物理 - 理论 · 物理学 2026-04-14 Antoine Tilloy

We calculate the ground-state expectation value of scalar observables in the matrix formulation of the random phase approximation (RPA). Our expression, derived using the quasiboson approximation, is a straightforward generalization of the…

核理论 · 物理学 2009-11-07 Calvin W. Johnson , Ionel Stetcu

A two-phonon version of the relativistic quasiparticle time blocking approximation (RQTBA-2) represents a new class of many-body models for nuclear structure calculations based on the covariant energy density functional. As a fully…

核理论 · 物理学 2014-11-20 Elena Litvinova , Peter Ring , Victor Tselyaev

Single-particle resonant-states in the continuum are determined by solving scattering states of the Dirac equation with proper asymptotic conditions in the relativistic mean field theory (RMF). The regular and irregular solutions of the…

核理论 · 物理学 2009-11-07 Li-gang Cao , Zhong-yu Ma

We study the translational invariance of the relative-locality framework proposed in arXiv:1101.0931, which had been previously established only for the case of a single interaction. We provide an explicit example of boundary conditions at…

We report a non-trivial feature of the vacuum structure of free massive or massless Dirac fields in the hyperbolic de Sitter spacetime. Here we have two causally disconnected regions, say $R$ and $L$ separated by another region, $C$. We are…

高能物理 - 理论 · 物理学 2019-10-23 Sourav Bhattacharya , Shankhadeep Chakrabortty , Shivang Goyal

The density dependent relativistic hadron field (DDRH) theory is applied to strongly asymmetric nuclear matter and finite nuclei far off stability. A new set of in-medium meson-nucleon vertices is derived from Dirac-Brueckner Hartree-Fock…

核理论 · 物理学 2009-11-06 F. Hofmann , C. M. Keil , H. Lenske

We present a low-scaling algorithm for the random phase approximation (RPA) with \textbf{k}-point sampling in the framework of tensor hypercontraction (THC) for electron repulsion integrals (ERIs). The THC factorization is obtained via a…

材料科学 · 物理学 2023-12-01 Chia-Nan Yeh , Miguel A. Morales

In hypernuclear systems, interactions involving nucleons and hyperons are intricately influenced by the surrounding particles, particularly by the density and the isospin feature of the nuclear medium. In this work, the relativistic…

核理论 · 物理学 2025-06-23 Shi Yuan Ding , Ting-Ting Sun , Bao Yuan Sun

An extension of the generalized relativistic mean-field (gRMF) model with density dependent couplings is introduced in order to describe thermodynamical properties and the composition of dense nuclear matter for astrophysical applications.…

核理论 · 物理学 2015-03-19 M. D. Voskresenskaya , S. Typel

In view of the application to supernova simulations, we calculate neutrino reaction rates with nucleons via the neutral and charged currents in the supernova core in the relativistic random phase approximation (RPA) and study their effects…

天体物理学 · 物理学 2009-10-31 Shoichi Yamada , Hiroshi Toki

A limitation common to all extensions of random-phase approximation including only particle-hole configurations is that they violate to some extent the energy weighted sum rules. Considering one such extension, the improved RPA (IRPA),…

核理论 · 物理学 2009-11-07 M. Grasso , F. Catara

A model to simulate the phenomenon of random lasing is presented. It couples Maxwell's equations with the rate equations of electronic population in a disordered system. Finite difference time domain methods are used to obtain the field…

无序系统与神经网络 · 物理学 2009-10-31 Xunya Jiang , C. M. Soukoulis

We present an improved analytical model to predict the Lyman-alpha forest at the field level in redshift space from the dark matter field, expanding upon the widely-used Fluctuating Gunn-Peterson approximation (FGPA). In particular, we…

宇宙学与河外天体物理 · 物理学 2024-07-25 Francesco Sinigaglia , Francisco-Shu Kitaura , Kentaro Nagamine , Yuri Oku , Andrés Balaguera-Antolínez

It is shown that in $d$-dimensional systems, the vertex corrections beyond the random phase approximation (RPA) or GW approximation scales with the power $d-\beta-\alpha$ of the Fermi momentum if the relation between Fermi energy and Fermi…

强关联电子 · 物理学 2018-06-19 Klaus Morawetz , Vinod Ashokan , Renu Bala , Kare Narain Pathak

We present a theoretical foundation for relativistic astronomical measurements in curved space-time. In particular, we discuss a new iterative approach for describing the dynamics of an astronomical N-body system. To do this, we generalize…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Slava G. Turyshev

The focus of the present work is the application of the random phase approximation (RPA), derived for inhomogeneous fluids [Frydel and Ma, Phys. Rev. E 93, 062112 (2016)], to penetrable-spheres. As penetrable-spheres transform into…

统计力学 · 物理学 2017-05-17 Yan Xiang , Derek Frydel

By breaking both the axial and the spatial reflection symmetries, we develop multidimensionally constrained relativistic mean field (MDC-RMF) models. The nuclear shape is assumed to be invariant under the reversion of $x$ and $y$ axes,…

核理论 · 物理学 2014-02-05 Bing-Nan Lu , Jie Zhao , En-Guang Zhao , Shan-Gui Zhou

We derive the self-consistent random phase approximations (sc-RPA) from the projective truncation approximation (PTA) for the equation of motion of two-time Green's function. The obtained sc-RPA applies to arbitrary temperature and recovers…

强关联电子 · 物理学 2026-04-21 Yue-Hong Wu , Xinguo Ren , Ning-Hua Tong

The self-consistent Relativistic Quasiparticle Random Phase Approximation (RQRPA) is extended by the quasiparticle-phonon coupling (QPC) model using the Quasiparticle Time Blocking Approximation (QTBA). The method is formulated in terms of…

核理论 · 物理学 2008-11-26 E. Litvinova , P. Ring , V. Tselyaev