scholarly journals Renormalization group flow of a hierarchical Sine-Gordon model by partial differential equations

1991 ◽  
Vol 136 (2) ◽  
pp. 357-368 ◽  
Author(s):  
Thomas Kappeler ◽  
Klaus Pinn ◽  
Christian Wieczerkowski
Keyword(s):  
Renormalization Group ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Renormalization Group Flow ◽  
Partial Differential ◽  
Sine Gordon Model ◽  
Group Flow

RENORMALIZATION OF THE SINE-GORDON MODEL AND NONCONSERVATION OF THE KINK CURRENT

1991 ◽  
Vol 06 (03) ◽  
pp. 409-429 ◽  
Author(s):  
KERSON HUANG ◽  
JANOS POLONYI
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Continuum Limit ◽  
Renormalization Group Flow ◽  
Small Coupling ◽  
Vortex Density ◽  
Euclidean Lattice ◽  
Sine Gordon Model ◽  
Group Flow ◽  
The Continuum

We renormalize the (1+1)-dimensional sine-Gordon model by placing it on a Euclidean lattice, and study the renormalization group flow. We start with a compactified theory with controllable vortex activity. In the continuum limit the theory has a phase in which the kink current is anomalous, with divergence given by the vortex density. The phase structure is quite complicated. Roughly speaking, the system is normal for small coupling T. At the Kosterlitz-Thouless point T=π/2, the current can become anomalous. At the Coleman point T=8π, either the current becomes anomalous or the theory becomes trivial.

Numerical Renormalization Group Algorithms for Self-Similar Asymptotics of Partial Differential Equations

2020 ◽  
Vol 18 (1) ◽  
pp. 131-162
Author(s):  
Gasta͂o A. Braga ◽  
Frederico Furtado ◽  
Vincenzo Isaia ◽  
Long Lee
Keyword(s):  
Renormalization Group ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
Numerical Renormalization Group ◽  
Self Similar

scholarly journals c -function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow

2015 ◽  
Vol 901 ◽  
pp. 444-460 ◽  
Author(s):  
V. Bacsó ◽  
N. Defenu ◽  
A. Trombettoni ◽  
I. Nándori
Keyword(s):  
Renormalization Group ◽  
Central Charge ◽  
Renormalization Group Flow ◽  
Perturbative Renormalization ◽  
Sine Gordon Model ◽  
Group Flow

Partial Differential Equations

2020 ◽  
Author(s):  
A. K. Nandakumaran ◽  
P. S. Datti
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential

Partial Differential Equations in Fluid Dynamics

2008 ◽  
Author(s):  
Isom H. Herron ◽  
Michael R. Foster
Keyword(s):  
Fluid Dynamics ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential

Dispersive Partial Differential Equations

2016 ◽  
Author(s):  
M. Burak Erdogan ◽  
Nikolaos Tzirakis
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential
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