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A new parameterization for an effective non-linear Lagrangian density of relativistic mean field (RMF) theory is proposed, which is able to provide an excellent description not only for the properties of stable nuclei but also for those far…

Nuclear Theory · Physics 2008-11-26 G. A. Lalazissis , J. König , P. Ring

We report on a simple strategy to treat mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. Extending the method of counting, introduced in [Lett. Math.…

Mathematical Physics · Physics 2021-04-27 Nikolai Leopold , Peter Pickl

We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the K\"ahler case, state spaces arise as spaces of…

High Energy Physics - Theory · Physics 2012-08-10 Robert Oeckl

The relativistic mean-field framework, extended to include correlations related to restoration of broken symmetries and to fluctuations of the quadrupole deformation, is applied to a study of shape transitions in Nd isotopes. It is…

Nuclear Theory · Physics 2009-02-26 T. Niksic , D. Vretenar , G. A. Lalazissis , P. Ring

This article provides a cartoon of the quantization of General Relativity using the ideas of effective field theory. These ideas underpin the use of General Relativity as a theory from which precise predictions are possible, since they show…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. P. Burgess

We apply the Dynamical Mean Field (DMFT) approximation to the real, scalar phi^4 quantum field theory. By comparing to lattice Monte Carlo calculations, perturbation theory and standard mean field theory, we test the quality of the…

High Energy Physics - Lattice · Physics 2013-12-16 Oscar Akerlund , Philippe de Forcrand , Antoine Georges , Philipp Werner

The parity violating longitudinal asymmetry ${\cal A}$ is calculated for quasielastic electron scattering. We use a variety of relativistic mean field models for the response of nuclear matter and $^{12}$C at a momentum transfer of q=550…

Nuclear Theory · Physics 2008-11-26 C. J. Horowitz , J. Piekarewicz

Asymmetric nuclear matter is investigated in the low density region below the nuclear saturation density. Microscopic calculations based on the Dirac Brueckner Hartree-Fock (DBHF) approach with realistic nucleon-nucleon potentials are used…

Nuclear Theory · Physics 2008-11-26 J. Margueron , E. Van Dalen , C. Fuchs

The mean-field approximation based on effective interactions or density functionals plays a pivotal role in the description of finite quantum many-body systems that are too large to be treated by ab initio methods. Some examples are…

Nuclear Theory · Physics 2021-11-02 J. A. Sheikh , J. Dobaczewski , P. Ring , L. M. Robledo , C. Yannouleas

The relativistic mean field model, the Zim\'anyi - Moszkowski (ZM) Lagrangian describes nuclear matter and stable finite nuclei even in the non-relativistic limit. It fails, however, to predict the correct non-relativistic spin-orbit (SO)…

Nuclear Theory · Physics 2009-10-30 T. S. Biro , J. Zimanyi

We study relativistic mean-field (RMF) models including nucleons interacting with scalar, vector and iso-vector mean fields and self- and cross- mean-field interaction terms. Usually, in such a models the magnitude of the scalar field…

High Energy Astrophysical Phenomena · Physics 2015-11-18 K. A. Maslov , E. E. Kolomeitsev , D. N. Voskresensky

Relativistic mean-field (RMF) models have been widely used in the study of many hadronic frameworks because of several important aspects not always present in nonrelativistic models, such as intrinsic Lorentz covariance, automatic inclusion…

A new formulation of four dimensional quantum field theories, such as scalar field theory, is proposed as a large N limit of a special NxN matrix model. Our reduction scheme works beyond planar approximation and applies for QFT with finite…

High Energy Physics - Theory · Physics 2009-10-31 V. A. Kazakov

The application of superscaling ideas to predict neutral-current (NC) quasielastic (QE) neutrino cross sections is investigated. Results obtained within the relativistic impulse approximation (RIA) using the same relativistic mean field…

Nuclear Theory · Physics 2008-11-26 M. C. Martinez , J. A. Caballero , T. W. Donnelly , J. M. Udias

Having started with the general formulation of the quantum theory of the real scalar field (QFT) in the general Riemannian space--time $ V_{1,3} $, the general--covariant quasinonrelativistic quantum mechanics of a point-like spinless…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. A. Tagirov

We study the possible occurrence of surface pion condensation in finite nuclei in the relativistic mean field (RMF) theory. We are led to this conjecture due to the essential role of pions in few-body systems and the recent (p,n)…

Nuclear Theory · Physics 2017-08-23 Hiroshi Toki , Satoru Sugimoto , Kiyomi Ikeda

The "Krein" regularization method of quantum field theory is studied, inspired by the Krein space quantization and quantum metric fluctuations. It was previously considered in the one-loop approximation, and this paper is generalized to all…

High Energy Physics - Theory · Physics 2022-08-18 M. V. Takook

The quantization of the Hamiltonian for a scalar field is performed in the framework of Quantum Reduced Loop Gravity. We outline how the regularization can be performed by using the analogous tools adopted in full Loop Quantum Gravity and…

General Relativity and Quantum Cosmology · Physics 2015-12-23 Jakub Bilski , Emanuele Alesci , Francesco Cianfrani

We have introduced a CJT calculation in studying nuclear matter beyond mean field approximation. Based on the CJT formalism and using Walecka model, we have derived a set of coupled Dyson equations of nucleons and mesons. Neglecting the…

Nuclear Theory · Physics 2008-11-26 Song Shu , Jia-RongLi

Within the relativistic mean-field approach, we extend the Miyazaki model, where the NN$\sigma$ and NN$\omega$ interactions are modified to suppress the couplings between positive- and negative-energy states of a nucleon in matter. Assuming…

Nuclear Theory · Physics 2008-11-26 Kenta Minagawa , Masahiro Kawabata , Koichi Saito