scholarly journals The Evolution of Correlation Functions in the Zeldovich Approximation and Its Implications for the Validity of Perturbation Theory

1996 ◽  
Vol 472 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Somnath Bharadwaj
Keyword(s):  
Perturbation Theory ◽  
Correlation Functions

scholarly journals Marked correlation functions in perturbation theory

2020 ◽  
Vol 2020 (01) ◽  
pp. 006-006 ◽  
Author(s):  
Alejandro Aviles ◽  
Kazuya Koyama ◽  
Jorge L. Cervantes-Cota ◽  
Hans A. Winther ◽  
Baojiu Li
Keyword(s):  
Perturbation Theory ◽  
Correlation Functions

scholarly journals On the contribution of different coupling constants in the infrared regime of Yang–Mills theory: A Curci–Ferrari approach

2019 ◽  
Vol 34 (32) ◽  
pp. 1950214
Author(s):  
Matías Fernández ◽  
Marcela Peláez
Keyword(s):  
Perturbation Theory ◽  
Correlation Functions ◽  
Landau Gauge ◽  
Phenomenological Description ◽  
Coupling Constants ◽  
Lattice Data ◽  
Yang Mills ◽  
Point Correlation ◽  
Good Agreement

We investigate the influence of the different vertices of two-point correlation functions in the infrared regime of Yang–Mills theory using a phenomenological description. This regime is studied in Landau-gauge and using perturbation theory within a phenomenological massive model. We perform a one-loop calculation for two-point correlation functions taking into account the different roles of the various interactions in the infrared. Our results show a good agreement with the lattice data.

scholarly journals A RIGOROUS TREATMENT OF THE PERTURBATION THEORY FOR MANY-ELECTRON SYSTEMS

2009 ◽  
Vol 21 (08) ◽  
pp. 981-1044 ◽  
Author(s):  
YOHEI KASHIMA
Keyword(s):  
Perturbation Theory ◽  
Correlation Functions ◽  
Perturbation Series ◽  
Periodic Lattice ◽  
Electron Systems ◽  
Coupling Constant ◽  
Finite Dimensional ◽  
Higher Order Terms ◽  
Point Correlation ◽  
Rigorous Treatment

Four point correlation functions for many electrons at finite temperature in periodic lattice of dimension d (≥1) are analyzed by the perturbation theory with respect to the coupling constant. The correlation functions are characterized as a limit of finite dimensional Grassmann integrals. A lower bound on the radius of convergence and an upper bound on the perturbation series are obtained by evaluating the Taylor expansion of logarithm of the finite dimensional Grassmann Gaussian integrals. The perturbation series up to second-order is numerically implemented along with the volume-independent upper bounds on the sum of the higher order terms in the 2-dimensional case.

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