scholarly journals Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal m -axial Lifshitz points

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Piotr Zdybel ◽  
Mateusz Homenda ◽  
Andrzej Chlebicki ◽  
Pawel Jakubczyk
Keyword(s):  
Critical Behavior ◽  
Anisotropic Systems

scholarly journals Critical behavior of weakly disordered anisotropic systems in two dimensions

1996 ◽  
Vol 54 (5) ◽  
pp. 3442-3453 ◽  
Author(s):  
Giancarlo Jug ◽  
Boris N. Shalaev
Keyword(s):  
Critical Behavior ◽  
Two Dimensions ◽  
Anisotropic Systems

Superuniversal Critical Behavior in Two-Dimensional Random Anisotropic Models with Discrete Symmetries

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1301-1309
Author(s):  
G. Jug ◽  
B. N. Shalaev
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Ising Model ◽  
Critical Behavior ◽  
Quenched Disorder ◽  
Two Dimensional ◽  
Anisotropic Models ◽  
Conformal Field ◽  
Logarithmic Corrections ◽  
Anisotropic Systems

We study the critical behavior of two-dimensional (2D) anisotropic systems with weak quenched disorder described by the Ising model (IM) with random bonds, the dilute N-color Ashkin–Teller model (ATM) and some its generalizations. It is shown that all these models exhibit the same critical behavior as that of the 2D-IM apart from some logarithmic corrections. The minimal conformal field theory (CFT) models with randomness are found to be described by critical exponents which are numerically very close to those of the pure 2D-IM.

Forced Periodic and Quasi-Periodic Patterns in Anisotropic Systems

1996 ◽  
Vol 6 (2) ◽  
pp. 305-328 ◽  
Author(s):  
Atsushi Ogawa ◽  
Walter Zimmermann ◽  
Kyozi Kawasaki ◽  
Toshihiro Kawakatsu
Keyword(s):  
Periodic Patterns ◽  
Anisotropic Systems

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

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