scholarly journals PSEUDOSCALAR MESON TEMPORAL CORRELATION FUNCTION FOR FINITE MOMENTA IN HTL APPROACH

2007 ◽  
Vol 22 (02n03) ◽  
pp. 672-675 ◽  
Author(s):  
PIOTR CZERSKI
Keyword(s):  
Correlation Function ◽  
Spectral Function ◽  
Pseudoscalar Meson ◽  
Finite Temperature ◽  
Temporal Correlation ◽  
Imaginary Time ◽  
Time Formalism ◽  
First Time ◽  
Temporal Correlation Function

The temporal pseudoscalar meson correlation function in a QCD plasma is investigated in a range of temperatures exceeding Tc and first time for a finite momenta which is of the experimental interest. The imaginary time formalism is employed for the finite temperature calculations. The behavior of the meson spectral function and of the temporal correlator is studied in the HTL approximation, where one replaces the free thermal quark propagators with the HTL resumed ones.

Analysis and Simulation of Radar Clutter Using Spherically Invariant Random Processe

2013 ◽  
Vol 765-767 ◽  
pp. 431-435
Author(s):  
Hong Sen Xie ◽  
Jin Bo Shi ◽  
Bao Kuan Luan ◽  
Hua Ming Tian ◽  
Peng Zhou
Keyword(s):  
Correlation Function ◽  
Probability Function ◽  
Temporal Correlation ◽  
Random Processes ◽  
Spatial Correlation Function ◽  
Radar Clutter ◽  
Gaussian Probability Distribution ◽  
Non Gaussian ◽  
Simulation And Validation ◽  
Temporal Correlation Function

Non-Gaussian probability distribution radar clutter not only is temporal correlated between different pulses, but also is spatial correlated between different range bins. In this paper, the method of simulation and validation of radar clutter is proposed using spherically invariant random processes (SIRP). The amplitude probability function and temporal correlation function of radar clutter can be controlled respectively, and the spatial correlation function can be also specified. The computer simulation of K-distribution and CHI-distribution radar clutter is used to validate the method, and is to validate the amplitude probability function, temporal-spatial 2D correlation function.

scholarly journals FINITE-TEMPERATURE AND FINITE-DENSITY QED: THE SCHWINGER-DYSON EQUATION IN THE REAL-TIME FORMALISM

1995 ◽  
Vol 10 (02) ◽  
pp. 199-232 ◽  
Author(s):  
KEI-ICHI KONDO ◽  
KAZUHIRO YOSHIDA
Keyword(s):  
Real Time ◽  
Finite Temperature ◽  
Dyson Equation ◽  
Temperature Phase ◽  
Continuous Variables ◽  
Imaginary Time ◽  
Gap Equation ◽  
The Real ◽  
Time Formalism ◽  
Real Time Formalism

We derive, based on the real-time formalism (especially thermo-field-dynamics), the Schwinger-Dyson gap equation for the fermion propagator in QED and the four-fermion model at finite temperature and density. We discuss some advantages of the real-time formalism in solving the self-consistent gap equation, in comparison with the ordinary imaginary-time formalism. Once we specify the vertex function, we can write down the SD equation with only continuous variables without performing the discrete sum over Matsubara frequencies which cannot be performed in advance without further approximation in the imaginary-time formalism. By solving the SD equation obtained in this way, we find the chiral-symmetry-restoring transition at finite temperature and present the associated phase diagram of strong-coupling QED. In solving the SD equation, we consider two approximations: instantaneous-exchange and p0-independent ones. The former has a direct correspondence in the imaginary-time formalism; the latter is a new approximation beyond the former, since it is able to incorporate new thermal effects which have been overlooked in the ordinary imaginary-time solution. However, the two approximations are shown to give qualitatively the same results on the finite-temperature phase transition.

Simulation and Validation of Temporal-Spatial 2-Dimensional Correlated Radar Clutter Based on SIRP

2011 ◽  
Vol 474-476 ◽  
pp. 1161-1167
Author(s):  
Ting Jun Li
Keyword(s):  
Correlation Function ◽  
Probability Function ◽  
Temporal Correlation ◽  
Random Processes ◽  
Spatial Correlation Function ◽  
Radar Clutter ◽  
Gaussian Probability Distribution ◽  
Non Gaussian ◽  
Simulation And Validation ◽  
Temporal Correlation Function

Non-Gaussian probability distribution radar clutter not only is temporal correlated between different pulses, but also is spatial correlated between different range bins. In this paper, the method of simulation and validation of radar clutter is proposed using spherically invariant random processes (SIRP). The amplitude probability function and temporal correlation function of radar clutter can be controlled respectively, and the spatial correlation function can be also specified. The computer simulation of K-distribution and CHI-distribution radar clutter is used to validate the method, and is to validate the amplitude probability function, temporal-spatial 2D correlation function.

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