THE SUPERSYMMETRIC CURCI-PAFFUTI RELATION AND VANISHING OF THE DILATON BETA FUNCTION IN THE N=2 SUSY SIGMA MODEL

1990 ◽  
Vol 05 (08) ◽  
pp. 1561-1573 ◽  
Author(s):  
PETER E. HAAGENSEN
Keyword(s):  
Recent Result ◽  
Sigma Models ◽  
Sigma Model ◽  
Beta Function ◽  
Minimal Subtraction ◽  
Subtraction Scheme ◽  
Minimal Subtraction Scheme ◽  
Similar Relation ◽  
Β Function

We extend the Curci-Paffuti relation of bosonic sigma models to the supersymmetric case. In the N=1 model, a similar relation is found, while in the N=2 model, a vanishing result ensues for the dilaton β-function. One contribution to the dilaton β-function in the N=2 model is identified as a previous result of Grisaru and Zanon; however, if we remain within a minimal subtraction scheme, other terms coming from finite subtractions appear which precisely cancel that and give a vanishing result. This is in agreement with a recent result of Jack and Jones.

scholarly journals The renormalization group with exact β-functions

2006 ◽  
Vol 84 (2) ◽  
pp. 131-143 ◽  
Author(s):  
V Elias ◽  
D.G.C. McKeon
Keyword(s):  
Background Field ◽  
Renormalization Scheme ◽  
Minimal Subtraction ◽  
Subtraction Scheme ◽  
Yang Mills ◽  
Minimal Subtraction Scheme ◽  
Text Model ◽  
Β Function ◽  
Supersymmetric Theories ◽  
The Relationship

The perturbative β-function is known exactly in a number of supersymmetric theories and in the ‘t Hooft renormalization scheme in the [Formula: see text] model. It is shown how this allows one to compute the effective action exactly for certain background field configurations and to relate bare and renormalized couplings. The relationship between the minimal subtraction scheme and the supersymmetry subtraction scheme in N = 1 super Yang–Mills theory is discussed.PACS No.: 11.10Z

scholarly journals HETEROTIC T-DUALITY AND THE RENORMALIZATION GROUP

1999 ◽  
Vol 14 (14) ◽  
pp. 2257-2271 ◽  
Author(s):  
KASPER OLSEN ◽  
RICARDO SCHIAPPA
Keyword(s):  
Renormalization Group ◽  
Sigma Models ◽  
Sigma Model ◽  
Beta Function ◽  
Target Space ◽  
Loop Order ◽  
Duality Transformations ◽  
Duality Symmetry ◽  
The One ◽  
Renormalization Group Flows

We consider target space duality transformations for heterotic sigma models and strings away from renormalization group fixed points. By imposing certain consistency requirements between the T-duality symmetry and renormalization group flows, the one-loop gauge beta function is uniquely determined, without any diagram calculations. Classical T-duality symmetry is a valid quantum symmetry of the heterotic sigma model, severely constraining its renormalization flows at this one-loop order. The issue of heterotic anomalies and their cancellation is addressed from this duality constraining viewpoint.

Operator product expansion in the minimal subtraction scheme

1982 ◽  
Vol 119 (4-6) ◽  
pp. 407-411 ◽  
Author(s):  
K.G. Chetyrkin ◽  
S.G. Gorishny ◽  
F.V. Tkachov
Keyword(s):  
Operator Product Expansion ◽  
Operator Product ◽  
Minimal Subtraction ◽  
Subtraction Scheme ◽  
Minimal Subtraction Scheme

DIMENSIONAL REGULARIZATION IN THE 1/N EXPANSION

1992 ◽  
Vol 07 (14) ◽  
pp. 3265-3289 ◽  
Author(s):  
MASSIMO CAMPOSTRINI ◽  
PAOLO ROSSI
Keyword(s):  
Renormalization Group ◽  
Dimensional Regularization ◽  
Critical Index ◽  
Complete Agreement ◽  
Coupling Constant ◽  
Minimal Subtraction ◽  
Subtraction Scheme ◽  
Group Invariant ◽  
Minimal Subtraction Scheme ◽  
Supersymmetric Version

Two classes of renormalizable 1/N expandable two-dimensional models are analyzed to O(1/N) and the asymptotic behavior of the renormalized two-point functions is nonperturbatively evaluated. These results are taken as a benchmark to study the applicability of dimensional regularization and perturbative minimal subtraction renormalization to the context of the 1/N expansion. Perturbation theory is applied to O(1/N) diagrams to all orders in the weak coupling constant and, after resummation, the same finite renormalization group invariant asymptotic amplitudes are obtained. As a byproduct, the O(1/N) contributions to renormalization group Z functions in the minimal subtraction scheme are extracted and the critical index η is evaluated and compared to previous nonperturbative results, finding complete agreement. The appendix is devoted to the extension of these results to a supersymmetric version of the models.

GLUONIC CONTRIBUTIONS TO SPIN-DEPENDENT WEAK STRUCTURE FUNCTIONS: METHOD OF FACTORIZATION

1992 ◽  
Vol 07 (25) ◽  
pp. 6371-6383 ◽  
Author(s):  
PRAKASH MATHEWS ◽  
V. RAVINDRAN
Keyword(s):  
Mass Shell ◽  
Structure Functions ◽  
Factorization Theorem ◽  
Leading Order ◽  
Minimal Subtraction ◽  
Subtraction Scheme ◽  
Minimal Subtraction Scheme ◽  
Quark Flavor ◽  
Weak Structure ◽  
First Moment

We compute the gluonic contributions to the spin-dependent weak structure functions [Formula: see text](i=1, 3, 4), using the factorization theorem in the minimal subtraction scheme, [Formula: see text]. We have considered the most general case where the quark flavor masses are distinguished and the gluons are off mass shell. The gluonic contribution to the first moment of [Formula: see text] is found to vanish and [Formula: see text] do not receive leading order gluonic contribution. These results are shown to be free of mass singularities.

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