Massive minimal subtraction scheme and “partial-p” in anisotropic Lifshitz space(time)s

2015 ◽  
Vol 362 ◽  
pp. 568-575
Author(s):  
Emanuel V. Souza ◽  
Paulo R.S. Carvalho ◽  
Marcelo M. Leite
Keyword(s):  
Space Time ◽  
Minimal Subtraction ◽  
Subtraction Scheme ◽  
Minimal Subtraction Scheme

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

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.

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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