Structure of the correlation function of a fluctuating system at the critical point

1990 ◽  
Vol 84 (2) ◽  
pp. 829-840 ◽  
Author(s):  
Yu. M. Ivanchenko ◽  
A. A. Lisyanskii ◽  
A. �. Filippov
Keyword(s):  
Correlation Function ◽  
Critical Point ◽  
Fluctuating System

Behavior of the Correlation Function Near the Critical Point

1968 ◽  
Vol 20 (4) ◽  
pp. 143-146 ◽  
Author(s):  
J. D. Gunton ◽  
M. J. Buckingham
Keyword(s):  
Correlation Function ◽  
Critical Point

scholarly journals THE QUANTUM KNIZHNIK–ZAMOLODCHIKOV EQUATION ASSOCIATED WITH $U_q(A_2^{(2)})$ FOR |q| = 1

2003 ◽  
Vol 18 (02) ◽  
pp. 225-247 ◽  
Author(s):  
TAKEO KOJIMA
Keyword(s):  
Correlation Function ◽  
Integral Representation ◽  
Critical Point ◽  
Affine Symmetry ◽  
Limiting Case ◽  
Zamolodchikov Equation

We present an integral representation to the quantum Knizhnik–Zamolodchikov equation associated with twisted affine symmetry [Formula: see text] for massless regime |q| = 1. Upon specialization, it leads to a conjectural formula for the correlation function of the Izergin–Korepin model in massless regime |q| = 1. In a limiting case q → -1, our conjectural formula reproduce the correlation function for the Izergin–Korepin model1,2 at critical point q = -1.

Two-Loop RG Calculation of Sound Attenuation and Dispersion Near the Liquid-Gas Critical Point

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1255-1262 ◽  
Author(s):  
L. Ts. Adzhemyan ◽  
A. N. Vasiljev ◽  
A. V. Serdukov
Keyword(s):  
Correlation Function ◽  
Renormalization Group ◽  
Critical Point ◽  
Scaling Function ◽  
Singular Part ◽  
Second Order ◽  
Sound Attenuation ◽  
Critical Isochore ◽  
Attenuation And Dispersion

We calculate the singular part of the sound attenuation and dispersion near the liquid-gas critical point on the critical isochore above T c . It is shown that the corresponding scaling function is related to the correlation function <ψ2ψ2> of two composite operators of the Halperin-Hohenberg–Siggia model H.1 Using the renormalization group (RG) and ∊-expansion we obtain this scaling function in second order in ∊.

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