Reshuffling the operator product expansion: Delocalized operator expansion
نویسندگان
چکیده
منابع مشابه
Reshuffling the OPE: Delocalized Operator Expansion
A prescription for the short-distance expansion of Euclidean current correlators based on a delocalized modification of the multipole expansion of perturbative short-distance coefficient functions is proposed that appreciates the presence of nonlocal physics in the nonperturbative QCD vacuum. This expansion converges better than the local Wilson OPE, which is recovered in the limit of infinite ...
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We discuss the current use of the operator-product expansion in QCD calculations. Treating the OPE as an expansion in inverse powers of an energy-squared variable (with possible exponential terms added), approximating the vacuum expectation value of the operator product by several terms and assuming a bound on the remainder along the euclidean region, we observe how the bound varies with increa...
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Here A, B, and C are operators; W C (x − y) are c-number functions (Wilson coefficients), singular when |x − y| → 0, that can be computed, for example, in perturbation theory. Dimensional analysis tells us that the leading contribution for y → x is due to the operators C’s in Eq. (1) that have the lowest dimension. Notice that the OPE is an operator relation and therefore, for any matrix elemen...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2003
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.67.054024