scholarly journals Random pinning glass transition: Hallmarks, mean-field theory and renormalization group analysis

2013 ◽  
Vol 138 (12) ◽  
pp. 12A547 ◽  
Author(s):  
Chiara Cammarota ◽  
Giulio Biroli
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Glass Transition ◽  
Mean Field Theory ◽  
Group Analysis ◽  
Mean Field ◽  
Renormalization Group Analysis

THE EDWARDS MODEL: THE GLASS TRANSITION

1992 ◽  
Vol 06 (10) ◽  
pp. 1587-1594 ◽  
Author(s):  
S.F. EDWARDS
Keyword(s):  
Field Theory ◽  
Glass Transition ◽  
Liquid Crystal ◽  
Transport Coefficients ◽  
Mean Field Theory ◽  
Mean Field ◽  
Essential Singularity ◽  
Liquid Crystal Polymers ◽  
New Class ◽  
Edwards Model

The structure of the transport coefficients in the approach to the glass transition is characterized by an essential singularity in their behaviour as functions of the temperature, variously known as the Vogel-Fulcher or Dolittle or Williams-Landel-Ferry laws. This behaviour can be derived directly in certain simple models notably a glass of liquid crystal polymers where mean field theory may be applied. In this paper a new class of closed expressions for transport coefficients are derived and it is shown that they can be used to derive the Vogel-Fulcher law.

scholarly journals Effective Field Theory for Shallow P-Wave States

2021 ◽  
Vol 62 (3) ◽  
Author(s):  
E. Epelbaum ◽  
J. Gegelia ◽  
H. P. Huesmann ◽  
Ulf-G. Meißner ◽  
Xiu-Lei Ren
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Finite Number ◽  
Effective Field Theory ◽  
Wave Scattering ◽  
Group Analysis ◽  
Effective Field ◽  
P Wave ◽  
Renormalization Group Analysis ◽  
Wave States

AbstractWe discuss the formulation of a non-relativistic effective field theory for two-body P-wave scattering in the presence of shallow states and critically address various approaches to renormalization proposed in the literature. It is demonstrated that the consistent renormalization involving only a finite number of parameters in the well-established formalism with auxiliary dimer fields corresponds to the inclusion of an infinite number of counterterms in the formulation with contact interactions only. We also discuss the implications from the Wilsonian renormalization group analysis of P-wave scattering.

Dynamics of the normal to vortex-glass transition: Mean-field theory and fluctuations

1992 ◽  
Vol 45 (1) ◽  
pp. 523-526 ◽  
Author(s):  
Alan T. Dorsey ◽  
Ming Huang ◽  
Matthew P. A. Fisher
Keyword(s):  
Field Theory ◽  
Glass Transition ◽  
Mean Field Theory ◽  
Mean Field ◽  
Vortex Glass
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