Renormalization group treatment of polymer excluded volume by t’Hooft–Veltman‐type dimensional regularization

1983 ◽  
Vol 78 (12) ◽  
pp. 7390-7411 ◽  
Author(s):  
A. L. Kholodenko ◽  
Karl F. Freed
Keyword(s):  
Renormalization Group ◽  
Group Treatment ◽  
Dimensional Regularization ◽  
Excluded Volume

Real-space renormalization-group treatment of the Maier-Saupe-Zwanzig model for biaxial nematic structures

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Cícero T. G. dos Santos ◽  
André P. Vieira ◽  
Silvio R. Salinas ◽  
Roberto F. S. Andrade
Keyword(s):  
Renormalization Group ◽  
Group Treatment ◽  
Real Space ◽  
Real Space Renormalization Group ◽  
Biaxial Nematic

Generalized renormalization group treatment of the growth kinetics of unstable systems

1985 ◽  
Vol 41 (1-2) ◽  
pp. 17-36 ◽  
Author(s):  
Scott R. Anderson ◽  
Gene F. Mazenko ◽  
Oriol T. Valls
Keyword(s):  
Renormalization Group ◽  
Growth Kinetics ◽  
Group Treatment ◽  
Unstable Systems ◽  
Kinetics Of

scholarly journals The renormalization group equations revisited

2018 ◽  
Vol 33 (26) ◽  
pp. 1830024 ◽  
Author(s):  
Jean-François Mathiot
Keyword(s):  
Renormalization Group ◽  
Dimensional Regularization ◽  
Direct Consequence ◽  
Renormalization Group Equation ◽  
Group Equation ◽  
Coupling Constant ◽  
Loop Order ◽  
Subtraction Scheme ◽  
Minimal Subtraction Scheme ◽  
Renormalization Group Equations

Starting from a well-defined local Lagrangian, we analyze the renormalization group equations in terms of the two different arbitrary scales associated with the regularization procedure and with the physical renormalization of the bare parameters, respectively. We apply our formalism to the minimal subtraction scheme using dimensional regularization. We first argue that the relevant regularization scale in this case should be dimensionless. By relating bare and renormalized parameters to physical observables, we calculate the coefficients of the renormalization group equation up to two-loop order in the [Formula: see text] theory. We show that the usual assumption, considering the bare parameters to be independent of the regularization scale, is not a direct consequence of any physical argument. The coefficients that we find in our two-loop calculation are identical to the standard practice. We finally comment on the decoupling properties of the renormalized coupling constant.

Renormalization group description of polymer excluded volume

1983 ◽  
Vol 30 (2) ◽  
pp. 437-447 ◽  
Author(s):  
Karl F. Freed ◽  
A. L. Kholodenko
Keyword(s):  
Renormalization Group ◽  
Excluded Volume

scholarly journals Dimensional Regularization Approach to the Renormalization Group Theory of the Generalized Sine-Gordon Model

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Takashi Yanagisawa
Keyword(s):  
Renormalization Group ◽  
Group Theory ◽  
High Frequency ◽  
Dimensional Regularization ◽  
Renormalization Group Theory ◽  
Generalized Model ◽  
New Class ◽  
Scaling Property ◽  
Renormalization Group Equations ◽  
Sine Gordon Model

We present the dimensional regularization approach to the renormalization group theory of the generalized sine-Gordon model. The generalized sine-Gordon model means the sine-Gordon model with high frequency cosine modes. We derive renormalization group equations for the generalized sine-Gordon model by regularizing the divergence based on the dimensional method. We discuss the scaling property of renormalization group equations. The generalized model would present a new class of scaling property.

Quantum critical scenario from an effective classical renormalization group treatment close to and below four dimensions

2005 ◽  
Vol 344 (6) ◽  
pp. 395-400 ◽  
Author(s):  
M.T. Mercaldo ◽  
I. Rabuffo ◽  
A. Caramico D'Auria ◽  
L. De Cesare
Keyword(s):  
Renormalization Group ◽  
Group Treatment ◽  
Four Dimensions ◽  
Quantum Critical
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