A renormalization group analysis of lattice models of two-dimensional membranes

1989 ◽  
Vol 55 (1-2) ◽  
pp. 29-85 ◽  
Author(s):  
Jan Ambj�rn ◽  
Bergfinnur Durhuus ◽  
J�rg Fr�hlich ◽  
Th�rdur J�nsson
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Lattice Models ◽  
Two Dimensional ◽  
Renormalization Group Analysis

RENORMALIZATION GROUP ANALYSIS OF A TWO-DIMENSIONAL INTERACTING ELECTRON SYSTEM

2001 ◽  
Vol 16 (11) ◽  
pp. 1889-1898
Author(s):  
WALTER METZNER
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Interaction Strength ◽  
Electron System ◽  
Flow Equation ◽  
Group Method ◽  
Model Parameters ◽  
Two Dimensional ◽  
Renormalization Group Analysis ◽  
Effective Interactions

We describe a Wick ordered functional renormalization group method for interacting Fermi systems, where the complete flow from the bare action of the microscopic model to the effective low-energy action is obtained from a differential flow equation. We apply this renormalization group approach to a prototypical two-dimensional lattice electron system, the Hubbard model on a square lattice. The flow equation for the effective interactions is evaluated numerically on 1-loop level. The effective interactions diverge at a finite energy scale which is exponentially small for small bare interactions. To analyze the nature of the instabilities signalled by the diverging interactions we compute the flow of the singlet superconducting susceptibilities for various pairing symmetries and also charge and spin density susceptibilities. Depending on the choice of the model parameters (hopping amplitudes, interaction strength and band-filling) we find antiferromagnetic order or d-wave superconductivity as leading symmetry breaking instability.

scholarly journals Monte Carlo renormalization group analysis of QCD in two dimensional coupling space

2000 ◽  
Vol 83-84 ◽  
pp. 872-874
Author(s):  
Ph. de Forcrand ◽  
M. García Pérez ◽  
T. Hashimoto ◽  
S. Hioki ◽  
H. Matsufuru ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Group Analysis ◽  
Two Dimensional ◽  
Renormalization Group Analysis ◽  
Dimensional Coupling ◽  
Monte Carlo Renormalization Group
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