scholarly journals Holographic mean-field theory for baryon many-body systems

2012 ◽  
Vol 86 (2) ◽  
Author(s):  
Masayasu Harada ◽  
Shin Nakamura ◽  
Shinpei Takemoto
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Many Body ◽  
Many Body Systems

scholarly journals Dynamical Mean-Field Theory for Markovian Open Quantum Many-Body Systems

2021 ◽  
Vol 11 (3) ◽  
Author(s):  
Orazio Scarlatella ◽  
Aashish A. Clerk ◽  
Rosario Fazio ◽  
Marco Schiró
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamical Mean Field Theory ◽  
Many Body ◽  
Open Quantum ◽  
Many Body Systems

ON STRONGLY NONLINEAR AUTOREGRESSIVE MODELS: IMPLICATIONS FOR THE THEORY OF TRANSIENT AND STATIONARY RESPONSES OF MANY-BODY SYSTEMS

2013 ◽  
Vol 12 (04) ◽  
pp. 1350022 ◽  
Author(s):  
T. D. FRANK ◽  
S. MONGKOLSAKULVONG
Keyword(s):  
Evolution Equations ◽  
Mean Field Theory ◽  
Mean Field ◽  
Ar Model ◽  
Many Body ◽  
Response Dynamics ◽  
Process Mean ◽  
Stationary Response ◽  
Strongly Nonlinear ◽  
Many Body Systems

Two widely used concepts in physics and the life sciences are combined: mean field theory and time-discrete time series modeling. They are merged within the framework of strongly nonlinear stochastic processes, which are processes whose stochastic evolution equations depend self-consistently on process expectation values. Explicitly, a generalized autoregressive (AR) model is presented for an AR process that depends on its process mean value. Criteria for stationarity are derived. The transient dynamics in terms of the relaxation of the first moment and the stationary response to fluctuations in terms of the autocorrelation function are discussed. It is shown that due to the stochastic feedback via the process mean, transient and stationary responses may exhibit qualitatively different temporal patterns. That is, the model offers a time-discrete description of many-body systems that in certain parameter domains feature qualitatively different transient and stationary response dynamics.

Calculation of the propagation amplitude in the case of a Coulomb interaction via time-independent mean-field theory

2007 ◽  
Vol 85 (7) ◽  
pp. 787-796
Author(s):  
R Yekken ◽  
F Mekideche
Keyword(s):  
Coulomb Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Numerical Comparison ◽  
Many Body ◽  
Field Equations ◽  
Range Interaction ◽  
Approximate Methods ◽  
Mean Field Equations ◽  
Many Body Systems

The exact study of many-body microscopic systems is impossible when the number of particles is large (N ≥ 3). Approximate methods are then used. The time-independent mean-field (TIMF) approximation has been proposed for the description of collisions in many-body systems. Collision amplitudes are derived by the use of a variational principle and the choice of trial functions as products of single-particle orbitals. Resulting mean-field equations with a nonvanishing right-hand side turn out to be a generalization of the traditional Hartree or Hatree–Fock type equations. These TIMF equations are successfully solved numerically for the case of short-range forces. In this paper, we test the validity of this theory for the Coulomb interaction between two particles, that is, a long-range interaction. A numerical comparison between the exact and the mean-field solutions is conducted PACS Nos.: 31.15.Ne, 31.15.Pf, 21.45.+v,25.10.-i

Mean-field theory of nearly many-body localized metals

2014 ◽  
Vol 90 (22) ◽  
Author(s):  
Sarang Gopalakrishnan ◽  
Rahul Nandkishore
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Many Body

scholarly journals Influence of Fock exchange in combined many-body perturbation and dynamical mean field theory

2017 ◽  
Vol 95 (24) ◽  
Author(s):  
Thomas Ayral ◽  
Silke Biermann ◽  
Philipp Werner ◽  
Lewin Boehnke
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamical Mean Field Theory ◽  
Many Body
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