Collective modes in a relativistic meson-nucleon system
TL;DR: In this article, collective modes in a relativistic meson-nucleon system were investigated and three types of collective modes were found: zero-sound, meson branch modes, and modes which indicate an instability of the mean-field theory ground state.
About: This article is published in Nuclear Physics.The article was published on 1989-10-02. It has received 48 citations till now. The article focuses on the topics: Meson & Scalar (mathematics).
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TL;DR: In this article, a generalized free field model for hot, dense matter is presented, where propagators and diagram rules for generalized free fields are discussed using the formalism of thermo field dynamics.
110 citations
Posted Content•
TL;DR: Transport coefficients are obtained by incorporating a gauge principle into thermo field dynamics of inhomogeneous systems in this paper, where neither imaginary time arguments nor perturbation theory in powers of a coupling constant are used in the calculation.
Abstract: Transport coefficients are obtained by incorporating a gauge principle into thermo field dynamics of inhomogeneous systems In contrast to previous derivations, neither imaginary time arguments nor perturbation theory in powers of a coupling constant are used in the calculation Numerical values are calculated for the pion component in hot nuclear matter
80 citations
TL;DR: An overview of relativistic density functional theory (RDFT) is presented in this paper, with special emphasis on its field theoretical foundations and the construction of RDFT density functionals.
Abstract: An overview of relativistic density functional theory (RDFT) is presented with special emphasis on its field theoretical foundations and the construction of relativistic density functionals. A summary of quantum electrodynamics (QED) for bound states provides the background for the discussion of the relativistic generalization of the Hohenberg-Kohn theorem and the effective single-particle equations of RDFT. In particular, the renormalization procedure of bound state QED is reviewed in some detail. Knowledge of this renormalization scheme is pertinent for a careful derivation of the RDFT concept which necessarily has to reflect all the features of QED, such as transverse and vacuum corrections. This aspect not only shows up in the existence proof of RDFT, but also leads to an extended form of the single-particle equations which includes radiative corrections. The need for renormalization is also evident in the construction of explicit functionals. In practice, on the other hand, radiative corrections are usually neglected in RDFT calculations. This neglect is formally introduced into RDFT via the no-pair approximation. Within this framework the main task is to find an appropriate approximation for the relativistic exchange-correlation energy functional. As explicit density functionals the relativistic local density approximation (RLDA) and the relativistic generalized gradient approximation (RGGA) are reviewed. Both their derivation from the properties of the relativistic homogeneous electron gas and a number of illustrative results are presented. In particular, it is shown that the RLDA does not provide an adequate description of the relativistic corrections in the case of atomic systems, while the RGGA performs as well for heavy atoms as the nonrelativistic GGA does for light atoms. Finally, a new generation of relativistic density functionals is discussed in which, in addition to the four current, the effective single-particle spinors are used for the representation of the exchange-correlation functional. The most prominent example for such an implicit density functional is the exact exchange. The actual application of implicit functionals requires the solution of an integral equation for the exchange-correlation potential (Optimized Potential Method), which is also introduced. On this basis a self-consistent treatment of the transverse exchange is possible, which allows a detailed investigation of the importance of transverse corrections.
57 citations
45 citations
TL;DR: In this paper, the neutrino scattering from a dense degenerate gas of electrons, protons and neutrons is investigated, where correlations induced by the Coulomb interactions of the electrons and protons are considered.
41 citations
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Book•
21 Jan 1971
TL;DR: A survey with emphasis on physical considerations can be found in this article, with a focus on mathematical principles and techniques, and specific problems in the following areas: general formulationElectron GasInteracting Fermion SystemInteracting Boson SystemsSuperconductivity
Abstract: Editors ForewordA Survey, with Emphasis on Physical ConsiderationsMathematical Principles and TechniquesSpecific ProblemsPapers for Supplemental ReadingReprints (various papers (1953-1960) on the following subjects:General FormulationElectron GasInteracting Fermion SystemInteracting Boson SystemsSuperconductivity
647 citations
TL;DR: In this article, a relativistic quantum many-body theory is applied to the study of high-density matter, where baryons are described as interacting with each other via massive scalar and massive vector meson exchange.
395 citations
TL;DR: In this article, a relativistic extension of the Landau Fermi liquid theory applicable to the study of high density matter is developed, and the results of Lorentz invariance in the theory are explored.
178 citations