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.

ON THE RENORMALIZATION GROUP FLOW IN N = 2 SUPERCONFORMAL MODELS

1990 ◽  
Vol 05 (27) ◽  
pp. 2261-2265 ◽  
Author(s):  
E. GAVA ◽  
M. STANISHKOV
Keyword(s):  
Perturbation Theory ◽  
Renormalization Group ◽  
Fixed Points ◽  
Renormalization Group Flow ◽  
Β Function ◽  
Group Flow ◽  
Chiral Superfield

We show that the β-function of N = 2 superconformal models perturbed by a slightly relevant chiral superfield does not have non-trivial IR fixed points to all orders in perturbation theory.

scholarly journals THE RENORMALIZATION GROUP FLOW IN 2D N=2 SUSY LANDAU-GINSBURG MODELS

1993 ◽  
Vol 08 (22) ◽  
pp. 3945-3964 ◽  
Author(s):  
JADWIGA BIEŃKOWSKA
Keyword(s):  
Renormalization Group ◽  
Central Charge ◽  
Renormalization Group Flow ◽  
Β Function ◽  
Group Flow

We investigate the renormalization of N=2 SUSY Landau-Ginsburg models with central charge c=3p/(2+p) perturbed by an almost marginal chiral operator. We calculate the renormalization of the chiral fields up to the gg* order and of the nonchiral fields up to the g(g*) order. We propose a formulation of the nonrenormalization theorem and show that it holds in the lowest nontrivial order. It turns out that, in this approximation, the chiral fields cannot get renormalized: [Formula: see text]. The β function then remains unchanged: β=∈g.

RENORMALIZATION GROUP AND STRING LOOPS

1990 ◽  
Vol 05 (04) ◽  
pp. 589-658 ◽  
Author(s):  
A.A. TSEYTLIN
Keyword(s):  
Renormalization Group ◽  
Moduli Spaces ◽  
Tree Level ◽  
Generating Functional ◽  
String Loop ◽  
Schottky Type ◽  
String Amplitudes ◽  
Group Flow ◽  
Model Approach

The fixed points of the 2-d renormalization group flow are known to correspond to the tree level string vacua. We analyze how the “renormalization group” (or “sigma model”) approach can be extended to the string loop level. The central role of the condition of renormalizability of the generating functional for string amplitudes with respect to both “local” and “modular” infinities is emphasized. Several one- and two-loop examples of renormalization are discussed. It is found that in order to ensure the renormalizability of the generating functional one is to use “extended” (e.g. Schottky-type) parametrizations of moduli spaces. An approach to a resummation of the string perturbative expansion based on operators of insertion of topological fixtures is suggested.

EXTENDED CHAMSEDDINE–FRÖHLICH APPROACH TO NONCOMMUTATIVE GEOMETRY AND THE TWO-DOUBLETS HIGGS MODEL

2007 ◽  
Vol 22 (32) ◽  
pp. 6279-6305 ◽  
Author(s):  
N. MEBARKI ◽  
M. HARRAT ◽  
M. BOUSSAHEL
Keyword(s):  
Renormalization Group ◽  
Noncommutative Geometry ◽  
Scalar Product ◽  
Higgs Model ◽  
Tree Level ◽  
Quantization Method ◽  
Renormalization Group Flow ◽  
New Approach ◽  
Mixing Angles ◽  
Group Flow

The Chamseddine–Fröhlich approach to noncommutative geometry is extended by the introduction of the strong interaction sector in the mathematical formalism, and generalization of the Dirac operator and scalar product. This new approach is applied to the reformulation of the two-doublets Higgs model where the fuzzy mass, coupling and unitarity relations as well as mixing angles are derived. These tree level relations are no more preserved under the renormalization group flow in the context of the standard quantization method.

scholarly journals Ruppeiner curvature along a renormalization group flow

2021 ◽  
pp. 136450
Author(s):  
Pavan Kumar Yerra ◽  
Chandrasekhar Bhamidipati
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Group Flow
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