Quantum hard rods: Critical behavior and conformal invariance

1989 ◽  
Vol 40 (4) ◽  
pp. 2362-2367 ◽  
Author(s):  
Ferenc Iglói
Keyword(s):  
Critical Behavior ◽  
Conformal Invariance ◽  
Hard Rods

Critical behavior near a smooth inhomogeneity in the planar Ising model and conformal invariance

1990 ◽  
Vol 65 (14) ◽  
pp. 1773-1776 ◽  
Author(s):  
Ferenc Iglói ◽  
Bertrand Berche ◽  
Loïc Turban
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Conformal Invariance

Conformal invariance and critical behavior of the O(n) model on the honeycomb lattice

1989 ◽  
Vol 39 (4) ◽  
pp. 2391-2402 ◽  
Author(s):  
Murray T. Batchelor ◽  
Henk W. J. Blöte
Keyword(s):  
Critical Behavior ◽  
Conformal Invariance ◽  
Honeycomb Lattice

Conformal invariance and the critical behavior of the tripletXY quantum chain

1990 ◽  
Vol 60 (5-6) ◽  
pp. 639-657
Author(s):  
Francisco C. Alcaraz ◽  
Clisthenis P. Constantinidis
Keyword(s):  
Critical Behavior ◽  
Conformal Invariance ◽  
Quantum Chain

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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