We perform an OPE analysis of the flavorless non-perturbative gluon propagator and the symmetric three-gluon vertex in the Landau gauge. The first subdominant operator is A µ A µ which can condensate in the Landau gauge " vacuum " although being a non-gauge invariant operator. We neglect all higher dimension operators. Then the gluon propagator and the symmetric three gluon vertex only depend o...

The pion-nucleon and kaon-nucleon scattering lengths are studied in the QCD sum rule. We show that the leading and next-to-leading order terms of the OPE give rise to the Tomozawa-Weinberg and sigma terms, respectively. We also show that in the kaon-nucleon system the Λ(1405) contribution has to be subtracted from the OPE side in order to obtain the scattering length. The odd components of the ...

Besides their appearance at short distances > ∼ 1/M W , local dimension-eight operators also contribute to kaon matrix elements at long distances of order > ∼ 1/µ ope , where µ ope is the scale controlling the Operator Product Expansion in pure QCD, without weak interactions. This comes about in the matching condition between the effective quark Lagrangian and the Chiral Lagrangian of mesons. W...

We present OPE predictions for the hadronic mass and q 2 moments in inclusive semileptonic charmless B decays, with a lower cut on the charged lepton energy and an upper cut on the hadronic invariant mass. We include non-perturbative corrections through O(1/m 3 b) and perturba-tive contributions through O(α 2 s β 0). We also investigate the range of the cut on the hadronic mass for which the lo...

Using only independent high-scale OPE input, we investigate QCD sum rule constraints on two currently incompatible versions of the isovector vector spectral function, one obtained from electroproduction (EM) data, the other from hadronic τ decay data. Sum rules involving weighted integrals over the spectral function, from threshold to a variable upper endpoint s0, are employed. It is shown that...

We investigate here a possible mechanism for the room temperature negative differential resistance (NDR) in the Au/AN-OPE/RS/Hg self-assembled monolayer (SAM) system, where AN-OPE = 20-amino,50-nitro-oligo(phenylene ethynylene) and RS is a C14 alkyl thiolate. Kiehl and co-workers showed that this molecular system leads toNDRwith hysteresis and sweep-rate-dependent position and amplitude in the ...

A bstract The singlet sector of the O ( N ) ϕ 4 -model in AdS at large- , gives rise to a dual conformal field theory on boundary which is deformation generalized free field. We identify and compute an three-point one-loop fish diagram that controls exact dimensions operator product coefficients (OPE) for all “double trace” operators as function renormalized -couplings. find space -coupling com...

We perform a finite energy sum rule analysis of the flavor ud two-point VA current correlator, ∆Π(Q2). The analysis, which is performed using both the ALEPH and OPAL databases for the V-A spectral function, ∆ρ, allows us to extract the dimension six V-A OPE coefficient, a6, which is related to the matrix element of the electroweak penguin operator, Q8, by chiral symmetry. The result for a6 lead...

Evaluating a policy by deploying it in the real world can be risky and costly. Off-policy evaluation (OPE) algorithms use historical data collected from running a previous policy to evaluate a new policy, which provides a means for evaluating a policy without requiring it to ever be deployed. Importance sampling is a popular OPE method because it is robust to partial observability and works wit...

We study the algebra of SU(n)-currents in the many-flavor chiral Gross-Neveu model. The general structure of the current-current OPE leading to non-local quantum conserved charges is reviewed. We calculate the OPE in the one-flavor and the many-flavor models perturbatively and use renormalization group invariance to prove that our results are not altered by higher-order corrections. We conclude...