Renormalization-group analysis on the stability of large-scale electrostatic fluctuations of two-dimensional plasmas

2004 ◽  
Vol 11 (3) ◽  
pp. 934-936 ◽  
Author(s):  
Chang-Bae Kim
Keyword(s):  
Renormalization Group ◽  
Large Scale ◽  
Group Analysis ◽  
Two Dimensional ◽  
Renormalization Group Analysis ◽  
Electrostatic Fluctuations ◽  
The Stability

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 Renormalization Group in Non-Relativistic Quantum Statistics

2020 ◽  
Vol 226 ◽  
pp. 01005
Author(s):  
Juha Honkonen ◽  
M. V. Komarova ◽  
Yu. G. Molotkov ◽  
M. Yu. Nalimov ◽  
Yu. A. Zhavoronkov
Keyword(s):  
Renormalization Group ◽  
Large Scale ◽  
Relativistic Quantum ◽  
Fluid Velocity ◽  
Group Analysis ◽  
Superfluid Transition ◽  
Scale Model ◽  
Renormalization Group Analysis ◽  
Large Scale Model ◽  
Charge Model

Dynamic behaviour of a boson gas near the condensation transition in the symmetric phase is analyzed with the use of an effective large-scale model derived from time-dependent Green functions at finite temperature. A renormalization-group analysis shows that the scaling exponents of critical dynamics of the effective multi-charge model coincide with those of the standard model A. The departure of this result from the description of the superfluid transition by either model E or F of the standard phenomenological stochastic models is corroborated by the analysis of a generalization of model F, which takes into account the effect of compressible fluid velocity. It is also shown that, contrary to the single-charge model A, there are several correction exponents in the effective model, which are calculated at the leading order of the ɛ= 4 − d expansion.

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
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