Glueball masses and Pomeron trajectory in nonperturbative QCD

Using a nonperturbative method based on asymptotic behaviour of Wilson loops we calculate masses of glueballs and corresponding Regge-trajectories. The method contains no fitting parameters and the mass scale is fixed by the meson Regge slope. Theoretical predictions for lowest glueball states are in a perfect agreement with lattice results. The leading glueball trajectory and its relation to the Pomeron is discussed in details. Important role of mixing between glueball and q\bar q trajectories is emphasized.Comment: 13 pages, 1 EPS figure included using epsf.sty; minor changes in the text and table, figure is replace

Ordering variable for parton showers

The parton splittings in a parton shower are ordered according to an ordering variable, for example the transverse momentum of the daughter partons relative to the direction of the mother, the virtuality of the splitting, or the angle between the daughter partons. We analyze the choice of the ordering variable and conclude that one particular choice has the advantage of factoring softer splittings from harder splittings graph by graph in a physical gauge.Comment: 28 pages, 5 figure

Heavy-light mesons spectrum from the nonperturbative QCD in the einbein field formalism

The spectrum of B and D mesons (including the low lying orbitally and radially excited states) is calculated using the quark-antiquark Hamiltonian derived from QCD in the einbein field formalism. Spin-spin and spin-orbit terms due to the confinement and OGE interactions are taken into account as perturbations. Results for the masses and splittings are confronted to the experimental and recent lattice data and are demonstrated to be in a reasonable agreement with both. We find that the orbital excitations with l=2 and l=3 for D meson lie approximately in the same region as its first radial excitation that might solve the mystery of the extremely narrow D(2637) state recently claimed by DELPHI Collaboration.Comment: 9 pages, LaTeX2e, no figures, 3 tables, typos in formulae and one reference correcte

Duality and Combinatorics of Long Strings in ADS3

The counting of long strings in ADS3, in the context of Type IIB string theory on $ADS_3 \times S^3 \times T^4$, is used to exhibit the action of the duality group $O(5,5;Z)$, and in particular its Weyl Subgroup $S_5 \bowtie Z_2$, in the non-perturbative phenomena associated with continuous spectra of states in these backgrounds. The counting functions are related to states in Fock spaces. The symmetry groups also appear in the structure of compactifications of instanton moduli spaces on $T^4$.Comment: 21 pages, harvmac big; revised version : remarks on relations to instanton moduli spaces clarifie

Exit spaces for Cox processes and the P\'olya sum process

For Cox processes we construct a Markov process with increasing paths to couple the condensations of the Cox process in a monotone way. A similar procedure procedure yields an analogue Markov process for the P\'olya sum process. Moreover, we identify the exit spaces of these Markov processes and identify them firstly as mixtures of certain extremal processes, i.e. as a process in a random environment, and secondly as Gibbs processes

On parton number fluctuations

Parton evolution with the rapidity essentially is a branching diffusion process. We describe the fluctuations of the density of partons which affect the properties of QCD scattering amplitudes at moderately high energies. We arrive at different functional forms of the latter in the case of dipole-nucleus and dipole-dipole scattering.Comment: 4 pages, 3 figures. Presented at the conference PANIC201

Odderon and Pomeron from the Vacuum Correlator Method

Glueball masses with J<=7 are computed both for C=+1 and C=-1 using the string Hamiltonian derived in the framework of the Vacuum Correlator Method. No fitting parameters are used, and masses are expressed in terms of string tension $\sigma$ and effective value of $\alpha_s$. We extend the calculations done for J<=3 using the same Hamiltonian, which provided glueball masses in good agreement with existing lattice data, to higher mass states. It is shown that 3^{--}, 5^{--} and 7^{--} states lie on the odderon trajectories with the intercept around or below 0.14. Another odderon trajectory with 3g glueballs of Y-shape, corresponds to 11% higher masses and low intercept. These findings are in agreement with recent experimental data, setting limits on the odderon contribution to the exclusive $\gamma p$ reactions.Comment: 16 pages. Journal version. To be published in Phys.Lett.