scholarly journals Functional renormalization group of the nonlinear sigma model and theO(N)universality class

2013 ◽  
Vol 87 (6) ◽  
Author(s):  
Raphael Flore ◽  
Andreas Wipf ◽  
Omar Zanusso
Keyword(s):  
Renormalization Group ◽  
Sigma Model ◽  
Universality Class ◽  
Nonlinear Sigma Model ◽  
Functional Renormalization Group

scholarly journals Dynamic universality class of Model C from the functional renormalization group

2013 ◽  
Vol 88 (17) ◽  
Author(s):  
D. Mesterházy ◽  
J. H. Stockemer ◽  
L. F. Palhares ◽  
J. Berges
Keyword(s):  
Renormalization Group ◽  
Universality Class ◽  
Functional Renormalization Group ◽  
Model C

RENORMALIZATION GROUP FLOW AND OPEN STRING DYNAMICS

1988 ◽  
Vol 03 (18) ◽  
pp. 1797-1805 ◽  
Author(s):  
NAOHITO NAKAZAWA ◽  
KENJI SAKAI ◽  
JIRO SODA
Keyword(s):  
Renormalization Group ◽  
Sigma Model ◽  
Open String ◽  
Tree Level ◽  
Nonlinear Sigma Model ◽  
Renormalization Group Flow ◽  
Point Solution ◽  
Β Function ◽  
Group Flow ◽  
Model Approach

The renormalization group flow in the nonlinear sigma model approach is explicitly solved to the fourth order in the case of an open string propagating in the tachyon background. Using a regularization different from the original one used by Klebanov and Susskind (K-S), we show that its fixed point solution produces the tree-level 5-point tachyon amplitude. Furthermore we prove K-S’s conjecture, i.e., the equivalence between the vanishing β-function defined by our regularization and the equation of motion arising from the effective action, up to all orders.

scholarly journals Some applications of Ricci flow in physics

2008 ◽  
Vol 86 (4) ◽  
pp. 645-651 ◽  
Author(s):  
E Woolgar
Keyword(s):  
General Relativity ◽  
Renormalization Group ◽  
Ricci Flow ◽  
Sigma Model ◽  
Final Section ◽  
Higher Dimensions ◽  
Ricci Soliton ◽  
Two Dimensions ◽  
Nonlinear Sigma Model

I discuss certain applications of the Ricci flow in physics. I first review how it arises in the renormalization group (RG) flow of a nonlinear sigma model. I then review the concept of a Ricci soliton and recall how a soliton was used to discuss the RG flow of mass in two dimensions. I then present recent results obtained with Oliynyk on the flow of mass in higher dimensions. The final section discusses how Ricci flow may arise in general relativity, particularly for static metrics.PACS Nos.: 02.40Ky, 02.30Ik, 04.20.–q

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