We study in detail deep inelastic scattering in the ’t Hooft model. We are able to analytically check current conservation and to obtain analytic expressions for the matrix elements with relative precision O(1/Q2) for 1− x ≫ β/Q. This allows us to compute the electron-meson differential cross section and its moments with 1/Q precision. For the former we find maximal violations of quark-hadron d...

The production of charged particles has been measured in deep inelastic scattering (DIS) with the ZEUS detector. The evolution of the moments of the scaled momenta distributions in Q 2 and x has been investigated in the current fragmentation region of the Breit frame. The results in the current region are compared to e + e − data and QCD analytical calculations. The results are consistent with ...

Within the generalized thermostatistics of Tsallis, we propose for the spin-1⁄2 Ising ferromagnet a transmissivity variable which extends that defined by Tsallis and Levy for thermal magnetic systems. By using this generalized transmissivity as well as duality arguments, we calculate the q-dependence of the critical temperature corresponding to the square lattice, where q is the entropic index ...

The radiation reaction of a BPS monopole in the presence of incident electromagnetic waves as well as massless Higgs waves is analyzed classically. The reactive forces are compared to those of W boson that is interpreted as a dual partner of the BPS monopole. It is shown that the damping of acceleration is dual to each other, while in the case of finite size effects the duality is broken explic...

An interior point method is proposed to solve variational inequality problems for monotone functions and polyhedral sets. The method has the following advantages. 1. Given an initial interior feasible solution with duality gap 0 , the algorithm requires at most On log(0 ==)] iterations to obtain an-optimal solution. 2. The rate of convergence of the duality gap is q-quadratic. 3. At each iterat...

We use the canonical description of T-duality as well as the formulation of T-duality in terms of chiral currents to investigate the geometric and non-geometric faces of closed string backgrounds originating from principal torus bundles with constant Hflux. Employing conformal field theory techniques, the non-commutative and nonassociative structures among generalized coordinates in the so call...

and Applied Analysis 3 In this paper, we firstly present the definition of duality fixed point for a mapping T from E into its dual E∗ as follows. Let E be a Banach space with a single-valued generalized duality mapping Jp : E → E∗. Let T : E → E∗. An element x∗ ∈ E is said to be a generalized duality fixed point of T if Tx∗ Jpx∗. An element x∗ ∈ E is said to be a duality fixed point of T if Tx...

We prove a new polynomial refinement of the Capparelli's identities. Using special case Bailey's lemma we many infinite families sum-product identities that root from our finite analogues also discuss q ↦ 1 / duality transformation base and some related partition theoretic relations.

The weight distribution {W C }w=0 of a linear code C ⊂ Fq is put in an explicit bijective correspondence with Duursma’s reduced polynomial DC(t) ∈ Q[t] of C. We prove that the Riemann Hypothesis Analogue for a linear code C requires the formal self-duality of C and imposes an upper bound on the cardinality q of the basic field, depending on the dimension and the minimum distance of C. Duursma’s...