Analytic Methods in Nonperturbative QCD

Recently developed analytic methods in the framework of the Field Correlator Method are reviewed in this series of four lectures and results of calculations are compared to lattice data and experiment. Recent lattice data demonstrating the Casimir scaling of static quark interaction strongly support the FCM and leave very little space for all other theoretical models, e.g. instanton gas/liquid model. Results of calculations for mesons, baryons, quark-gluon plasma and phase transition temperature demonstrate that new analytic methods are a powerful tool of nonperturbative QCD along with lattice simulations.Comment: LaTeX, 34 pages; Lectures given at the 13th Indian-Summer School "Understanding the Structure of Hadrons", August 28 - September 1, 2000, Prague, Czech Republi

Мозаичная аутологичная остеохондропластика в лечении локального асептического некроза блока таранной кости

The authors presented the brief incidence analysis of talus osteochondral defect (local joint surface osteonecrosis of the anklebone), its etiology, pathogenesis, symptoms, modern diagnostic algorithm and described proposed surgical procedure. The operation consists of ankle joint arthrotomy, osteonecrotic tissue resection, harvesting of cylindrical mosaic osteochondral graft from low weightbared region of femoral knee joint surface and its implantation into resection cave of the anklebone. The indications to supramalleolar osteotomy for concomitant ankle frontal deformities are grounded. Rigid osteosynthesis and early movements in ankle joint are recommended. Eighteen patients with age from 20 to 58 years old were operated: 8 men and 10 women. In 13 cases (72.3%) the lesion was found in medial edge of talus trochlea, and 5 (27.7%) were lateral lesions. Treatment results of 18 patients evaluated according AOFAS score (H. Kitaoka) improved after operation from (38.2+3.3), to (88.9+3.6) when assessed one year after surgery. Two clinical case reports are presented.Проведены краткий анализ частоты локального остеонекроза блока таранной кости, его этиология, патогенез, симптоматика, современные принципы диагностики. Предложена методика хирургического лечения, включающая артротомию голеностопного сустава, резекцию патологического очага, взятие из ненагружаемой зоны бедра мозаичного цилиндрического костнохрящевого аутотрансплантата с последующей его имплантацией в зону дефекта таранной кости. При наличии значительных нарушений анатомических осей в голеностопном суставе одномоментно проводили корригирующую остеотомию большеберцовой кости с остеосинтезом металлической пластиной. С использованием описанной хирургической техники прооперированы 18 пациентов в возрасте от 20 до 58 лет: 8 мужичин и 10 женщин. В 13 (72,3%) случаях отмечалось поражение медиального отдела блока таранной кости, в 5 (27,7%) - наружного отдела. Средний балл интегральной оценки состояния голеностопного сустава по шкале AOFAS (H. Kitaoka) у всех пациентов до операции составлял 38,2±3,3, через год после описанной операции - 88,9±3,6. Представлены два клинических наблюдения. Применение аутологичной мозаичной остеохондропластики при хирургическом лечении дефектов таранной кости позволяет получить удовлетворительные результаты лечения и восстановить анатомическое строение и биомеханику голеностопного сустава

Field theory description of vacuum replicas

In this paper we develop a systematic quantum field theory based approach to the vacuum replica recently found to exist in effective low energy models in hadronic physics. A local operator creating the replica state is constructed explicitly. We show that a new effective quark-quark force arises in result of replica existence. Phenomenological implications of such a force are also briefly discussed.Comment: RevTeX4, 23 pages, 4 Postscript figures, uses epsfig.sty, to appear in Phys.Rev.

Non-Perturbative QCD Treatment of High-Energy Hadron-Hadron Scattering

Total cross-sections and logarithmic slopes of the elastic scattering cross-sections for different hadronic processes are calculated in the framework of the model of the stochastic vacuum. The relevant parameters of this model, a correlation length and the gluon condensate, are determined from scattering data, and found to be in very good agreement with values coming from completely different sources of information. A parameter-free relation is given between total cross-sections and slope parameters, which is shown to be remarkably valid up to the highest energies for which data exist.Comment: 60 pages, Heidelberg preprin

Strong decays Bs0→BsπB_{s0} \to B_s \pi and Bs1→Bs∗πB_{s1} \to B^*_s \pi with light-cone QCD sum rules

In this article, we calculate the strong coupling constants $g_{B_{s0} B_s \eta}$ and $g_{B_{s1} B^*_s \eta}$ with the light-cone QCD sum rules. Then we take into account the small $\eta-\pi^0$ transition matrix according to Dashen's theorem, and obtain the small decay widths for the isospin violation processes $B_{s0}\to B_s\eta\to B_s\pi^0$ and $B_{s1}\to B_s^*\eta\to B_s^*\pi^0$. We can search the strange-bottomed $(0^+,1^+)$ mesons $B_{s0}$ and $B_{s1}$ in the invariant $B_s \pi^0$ and $B^*_s \pi^0$ mass distributions respectively.Comment: 15 pages, 2 figures, revised versio

Heavy quarkonium: progress, puzzles, and opportunities

A golden age for heavy quarkonium physics dawned a decade ago, initiated by the confluence of exciting advances in quantum chromodynamics (QCD) and an explosion of related experimental activity. The early years of this period were chronicled in the Quarkonium Working Group (QWG) CERN Yellow Report (YR) in 2004, which presented a comprehensive review of the status of the field at that time and provided specific recommendations for further progress. However, the broad spectrum of subsequent breakthroughs, surprises, and continuing puzzles could only be partially anticipated. Since the release of the YR, the BESII program concluded only to give birth to BESIII; the $B$-factories and CLEO-c flourished; quarkonium production and polarization measurements at HERA and the Tevatron matured; and heavy-ion collisions at RHIC have opened a window on the deconfinement regime. All these experiments leave legacies of quality, precision, and unsolved mysteries for quarkonium physics, and therefore beg for continuing investigations. The plethora of newly-found quarkonium-like states unleashed a flood of theoretical investigations into new forms of matter such as quark-gluon hybrids, mesonic molecules, and tetraquarks. Measurements of the spectroscopy, decays, production, and in-medium behavior of c\bar{c}, b\bar{b}, and b\bar{c} bound states have been shown to validate some theoretical approaches to QCD and highlight lack of quantitative success for others. The intriguing details of quarkonium suppression in heavy-ion collisions that have emerged from RHIC have elevated the importance of separating hot- and cold-nuclear-matter effects in quark-gluon plasma studies. This review systematically addresses all these matters and concludes by prioritizing directions for ongoing and future efforts.Comment: 182 pages, 112 figures. Editors: N. Brambilla, S. Eidelman, B. K. Heltsley, R. Vogt. Section Coordinators: G. T. Bodwin, E. Eichten, A. D. Frawley, A. B. Meyer, R. E. Mitchell, V. Papadimitriou, P. Petreczky, A. A. Petrov, P. Robbe, A. Vair