42 research outputs found
Ilona Svetlikova, _The Moscow Pythagoreans: Mathematics, Mysticism, and Anti-Semitism in Russian Symbolism_, Palgrave Macmillan, 2013, 184 pp.
No full textThis is a review of an interdisciplinary work of intellectual history on the Moscow philosophical-mathematical school. The author, Ilona Svetlikova, is primarily interested in the thought of the late nineteenth and early twentieth-century mathematician and philosopher Nikolai Bugaev, of his son Boris Bugaev — better known under his nom de plume Andrei Belyi —, of Nikolai Bugaev’s student Pavel Nekrasov, and of other disciples of Bugaev, especially Vissarion Alekseev, the Baron Mikhail Taube, and Pavel Florensky. The book explores the views of these thinkers, all of whom were more or less closely associated with the Moscow Mathematical Society, on issues at the crossroads of mathematics, philosophy, literature, religion, and political ideology. Since he was the originator and pillar of the Moscow philosophico-mathematical circle, my critical comments focus on Nikolai Bugaev
Редже траєкторії кварк-глюонних мішків
No full textUsing an exactly solvable statistical model, we discuss the equation of state of large/heavy and short-living bags of the quark gluon plasma (QGP).We argue that the large width of the QGP bags explains not only the observed deficit in the number of hadronic resonances, but also clarifies the reason why the heavy QGP bags cannot be directly observed even as metastable states in the hadronic phase. Also the Regge trajectories of large and heavy QGP bags are established both in vacuum and in a strongly interacting medium. It is shown that, at high temperatures, the average mass and width of the QGP bags behave in accordance with the upper bound of the Regge trajectory asymptotics (the linear asymptotics), whereas, for temperatures below Tн=2 (Tн is the Hagedorn temperature), they obey the lower bound of the Regge trajectory asymptotics (the square root one). Thus, for T Tн=2, these bags demonstrate the standard Regge behavior consistent with the string models.Використовуючи точний розв’язок статистичної моделi, обговорено рiвняння стану великих/важких i короткоживучих мiшкiв кварк-глюонної плазми (КГП). Наведено аргументи того, що велика ширина мiшкiв КГП не тiльки пояснює дефiцит кiлькостi адронних резонансiв, але й причину того, що важкi мiшки КГП не можуть безпосередньо спостерiгатися навiть як метастабiльнi стани в адроннiй фазi. Також знайдено Редже траєкторiї великих i важких мiшкiв КГП як у вакуумi, так i в сильновзаємодiючому середовищi. Доведено, що за високих температур середня маса i ширина мiшкiв КГП пiдкорюються верхнiй границi асимптотики траєкторiї Редже (лiнiйна асимптотика), тодi як для температур, нижчих за Tн=2 (Tн – температура Хагедорна), вони пiдкорюються нижнiй границi асимптотики траєкторiй Редже (асимптотика кореня квадратного). Таким чином, для T Tн=2 цi мiшки демонструють стандартну Редже поведiнку, яка узгоджується з моделями струн.The research made in this work was supported in part by the Program “Fundamental Properties of Physical Systems under Extreme Conditions” of the Division of of Physics and Astronomy of the National Academy of Science of Ukraine. K.A.B. acknowledges the partial support by the Fundamental Research State Fund of Ukraine, Agreement No F28/335-2009 for the Bilateral project FRSF (Ukraine) – RFBR (Russia)
On relation between the quark–gluon bag surface tension and the colour tube string tension
No full textРедже траєкторії кварк-глюонних мішків
No full textUsing an exactly solvable statistical model, we discuss the equation of state of large/heavy and short-living bags of the quark gluon plasma (QGP).We argue that the large width of the QGP bags explains not only the observed deficit in the number of hadronic resonances, but also clarifies the reason why the heavy QGP bags cannot be directly observed even as metastable states in the hadronic phase. Also the Regge trajectories of large and heavy QGP bags are established both in vacuum and in a strongly interacting medium. It is shown that, at high temperatures, the average mass and width of the QGP bags behave in accordance with the upper bound of the Regge trajectory asymptotics (the linear asymptotics), whereas, for temperatures below Tн=2 (Tн is the Hagedorn temperature), they obey the lower bound of the Regge trajectory asymptotics (the square root one). Thus, for T Tн=2, these bags demonstrate the standard Regge behavior consistent with the string models.Використовуючи точний розв’язок статистичної моделi, обговорено рiвняння стану великих/важких i короткоживучих мiшкiв кварк-глюонної плазми (КГП). Наведено аргументи того, що велика ширина мiшкiв КГП не тiльки пояснює дефiцит кiлькостi адронних резонансiв, але й причину того, що важкi мiшки КГП не можуть безпосередньо спостерiгатися навiть як метастабiльнi стани в адроннiй фазi. Також знайдено Редже траєкторiї великих i важких мiшкiв КГП як у вакуумi, так i в сильновзаємодiючому середовищi. Доведено, що за високих температур середня маса i ширина мiшкiв КГП пiдкорюються верхнiй границi асимптотики траєкторiї Редже (лiнiйна асимптотика), тодi як для температур, нижчих за Tн=2 (Tн – температура Хагедорна), вони пiдкорюються нижнiй границi асимптотики траєкторiй Редже (асимптотика кореня квадратного). Таким чином, для T Tн=2 цi мiшки демонструють стандартну Редже поведiнку, яка узгоджується з моделями струн.The research made in this work was supported in part by the Program “Fundamental Properties of Physical Systems under Extreme Conditions” of the Division of of Physics and Astronomy of the National Academy of Science of Ukraine. K.A.B. acknowledges the partial support by the Fundamental Research State Fund of Ukraine, Agreement No F28/335-2009 for the Bilateral project FRSF (Ukraine) – RFBR (Russia)
Critical exponents of the statistical multifragmentation model
No full textAbstractFor statistical multifragmentation model the critical indices α′,β,γ′,δ are calculated as functions of the Fisher parameter τ. It is found that these indices have different values than in Fisher's droplet model. Some peculiarities of the scaling relations are discussed. The basic model predicts for the index τ a narrow range of values, 1.799<τ<1.846, which is consistent with two experiments on nuclear multifragmentation
Lepton pair emission as a probe for the spacetime scenario of quark-hadron phase transition
No full text
Transverse activity of kaons and the deconfinement phase transition in nucleus-nucleus collisions
No full textWe found that the experimental results on transverse mass spectra of kaons produced in central Pb+Pb (Au+Au) interactions show an anomalous dependence on the collision energy. The inverse slopes of the spectra increase with energy in the low (AGS) and high (RHIC) energy domains, whereas they are constant in the intermediate (SPS) energy range. We argue that this anomaly is probably caused by a modification of the equation of state in the transition region between confined and deconfined matter. This observation may be considered as a new signal, in addition to the previously reported anomalies in the pion and strangeness production, of the onset of deconfinement located in the low SPS energy domain
