scholarly journals Numerical determination of the operator-product-expansion coefficients in the 3D Ising model from off-critical correlators

2015 ◽  
Vol 91 (6) ◽  
Author(s):  
M. Caselle ◽  
G. Costagliola ◽  
N. Magnoli
Keyword(s):  
Ising Model ◽  
Operator Product Expansion ◽  
Operator Product ◽  
Numerical Determination ◽  
Expansion Coefficients ◽  
3D Ising Model

scholarly journals The case for duality violations in the analysis of hadronic τ decays

2016 ◽  
Vol 31 (30) ◽  
pp. 1630031 ◽  
Author(s):  
Santiago Peris ◽  
Diogo Boito ◽  
Maarten Golterman ◽  
Kim Maltman
Keyword(s):  
Operator Product Expansion ◽  
Systematic Errors ◽  
Operator Product ◽  
Higher Dimension ◽  
Convergent Expansion ◽  
Theoretical Evidence ◽  
Made In

In this review, we discuss why, in the determination of [Formula: see text] from hadronic [Formula: see text] decays, two important assumptions made in most of previous analyses, namely the neglect of higher-dimension condensates and of duality violations (DVs), have introduced uncontrolled systematic errors into this determination. Although the use of pinched weights is usually offered as a justification of these assumptions, we explain why it is not possible to simultaneously suppress these two contributions; particularly since the Operator Product Expansion (OPE) is expected to be an asymptotic, rather than a convergent expansion. There is not only experimental and theoretical evidence for DVs but they also affect the extraction of [Formula: see text].

Operator product expansion coefficients in N = 1 superconformal theory and slightly relevant perturbation

1988 ◽  
Vol 306 (2) ◽  
pp. 425-444 ◽  
Author(s):  
Y. Kitazawa ◽  
N. Ishibashi ◽  
A. Kato ◽  
K. Kobayashi ◽  
Y. Matsuo ◽  
...  
Keyword(s):  
Operator Product Expansion ◽  
Operator Product ◽  
Expansion Coefficients
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