A bstract We consider the charged moments in SL(3 , ?) higher spin holography, as well dual two-dimensional conformal field theory with W 3 symmetry. For vacuum state and a single entangling interval, we show that algebra of induces an entanglement acting on quantum interval. The contains modular charge which commutes Hamiltonian. reduced density matrix is characterized by energy charge, hence ...

We obtain a condition for the Lq-convergence of martingales generated by random multiplicative cascade measures for q > 1 without any self-similarity requirements on the cascades.

We point out a source of ambiguities in the measurements of the electromagnetic moments of spin-3/2 baryons which rely on relativistic Lagrangian models. An anambiguous relation between the parameters of the spin-3/2 electromagnetic Lagrangian and the electromagnetic moments of the spin-3/2 particle exits in general only for on-shell situation, while the measurements are done on “virtual” baryons.

We present analytical calculation of the first seven moments of the heavy quark vacuum polarization function in the three-loop order. The obtained results are compared against the asymptotic formulas following from the threshold singulari-ties. We also discuss the µ dependence of the moments within the BLM procedure.

We report on our recent results for deep-inelastic neutrino(ν)-proton(P) scattering. We have computed the perturbative QCD corrections to three loops for the charged current structure functions F2, FL and F3 for the combination νP− ν̄P. In leading twist approximation we have calculated the first six odd-integer Mellin moments in the case of F2 and FL and the first six even-integer moments in the...

holds as T → ∞. The basic tools of them are the approximate functional equations for ζ(s) and ζ(s). Therefore, one might think that we can obtain the asymptotic formula for the higher moments (sixth moment, eighth moment, etc· · · ) of ζ(s) on the critical line Re(s) = 12 by using the approximate functional equations for ζ(s) (k ≥ 3). However, although these approximate functional equations are...