26 research outputs found
Colour chiral solitons in low energy QCD
We derive an effective colour chiral action with a background gauge field.
The action describes configurations of soliton-skyrmion type. Kinetic term
constant , analogue of , is a phenomenological dimensional
parameter of the model; terms are unique up to the choice of background
gauge field. The case of SU(2) colour group is discussed in detail. We study an
isolated configuration, i.e. a configuration in a background field which is the
vacuum field forming the gluon condensate. Thereby we introduce the condensate
energy as a second parameter and scale. Compared with the case of flavor
skyrmion configuration, the colour chiral action contains a piece with slowly
decreasing terms coming from the background vacuum field. Asymptotic behaviour
at large distances shows exponential decrease for the case of chromomagnetic
condensates and periodic otherwise . This defines a stability region for a
colour soliton. The mass is given by the positive definite integrand for a
soliton of purely bosonization origin. Contribution from the Yang-Mills action
of the background colour field has the sign opposite to bosonization part. The
baryon number current is not influenced by the background field and leads to
the standard baryon number . For we evaluated the estimate
from above .Comment: 12 pages, Latex, Discussion of the confining potential between colour
solitons and journal reference are adde
Analytical Approximation of Periodic Ateb-Functions via Elementary Functions
Abstract
We consider the problem of analytic approximation of periodic Ateb- functions, widely used in nonlinear
dynamics. Ateb-functions are the result of the following procedure. Initial ODE contains only the inertial and
non-linear terms. It can be integrated, which leads to an implicit solution. To obtain explicit solutions we are
led to necessity to inverse incomplete Beta functions. As a result of this inversion we obtain the special Atebfunctions.
Their properties are well known, but the use of Ateb- functions is difficult in practice. In this regard,
the problem arises of the Ateb functions approximation by smooth elementary functions. For this purpose in
the present article the asymptotic method is used with a quantity 1 / (a + 1) as a small parameter, were a > 1 —
exponent of nonlinearity. We also investigated the analytical approximation of Ate-b functions' period.
Comparison of simulation results, obtained by the approximate expression, with the results of numerical
solution of the corresponding Cauchy problem shows their sufficient accuracy for practical purposes, even for
a = 1
Preface: “Quarks-2016”, 19th International Seminar on High Energy Physics
The highlights of the most recent CMS results with 13 TeV data will be presented in this overview. The Standard Model precision measurements, including the top quark production, will be shown first. This will be followed by the presentation of Higgs boson studies with the early 13 TeV data. Then the focus will shift to searches for physics beyond the Standard Model, including the searches for several Supersymmetric scenarios, using different analysis techniques. The talk will conclude with searches for the exotic resonances, with an emphasis on studies of the high-mass diphoton production
Preface: “Quarks-2016”, 19th International Seminar on High Energy Physics
The highlights of the most recent CMS results with 13 TeV data will be presented in this overview. The Standard Model precision measurements, including the top quark production, will be shown first. This will be followed by the presentation of Higgs boson studies with the early 13 TeV data. Then the focus will shift to searches for physics beyond the Standard Model, including the searches for several Supersymmetric scenarios, using different analysis techniques. The talk will conclude with searches for the exotic resonances, with an emphasis on studies of the high-mass diphoton production
Preface: “Quarks-2016”, 19th International Seminar on High Energy Physics
The highlights of the most recent CMS results with 13 TeV data will be presented in this overview. The Standard Model precision measurements, including the top quark production, will be shown first. This will be followed by the presentation of Higgs boson studies with the early 13 TeV data. Then the focus will shift to searches for physics beyond the Standard Model, including the searches for several Supersymmetric scenarios, using different analysis techniques. The talk will conclude with searches for the exotic resonances, with an emphasis on studies of the high-mass diphoton production