4,545 research outputs found
How massless are massless fields in
Massless fields of generic Young symmetry type in space are analyzed.
It is demonstrated that in contrast to massless fields in Minkowski space whose
physical degrees of freedom transform in irreps of algebra,
massless mixed symmetry fields reduce to a number of irreps of
algebra. From the field theory perspective this means that not every massless
field in flat space admits a deformation to with the same number of
degrees of freedom, because it is impossible to keep all of the flat space
gauge symmetries unbroken in the AdS space. An equivalent statement is that,
generic irreducible AdS massless fields reduce to certain reducible sets of
massless fields in the flat limit. A conjecture on the general pattern of the
flat space limit of a general massless field is made. The example of
the three-cell ``hook'' Young diagram is discussed in detail. In particular, it
is shown that only a combination of the three-cell flat-space field with a
graviton-like field admits a smooth deformation to .Comment: 23 pages, LaTeX, a few typos correcte
Higher Spin Conformal Currents in Minkowski Space
Using unfolded formulation of free equations for massless fields of all spins
we obtain explicit form of higher-spin conformal conserved charges bilinear in
4d massless fields of arbitrary spins.Comment: LaTeX, 10 pages. Corrected typo
Deformed Oscillator Algebras and Higher-Spin Gauge Interactions of Matter Fields in 2+1 Dimensions
We formulate a non-linear system of equations which describe higher-spin
gauge interactions of massive matter fields in 2+1 dimensional space-time and
explain some properties of the deformed oscillator algebra which underlies this
formulation. In particular we show that the parameter of mass of matter
fields is related to the deformation parameter in this algebra.Comment: LaTex, 12 pages, no figures; Invited talk at the International
Seminar Supersymmetry and Quantum Field Theory dedicated to the memory of
Dmitrij V. Volkov; Kharkov, January 1997; to appear in the proceeding
M. M. Bakhtin as a University Professor
This article presents M. M. Bakhtin as a University professor through his own views of on the nature of university teaching: lecturing, seminars and colloquia, engaging students in debates and reflexive analysis of literary texts, “scientific thinking”, and working with bibliography. As a Chair of Russian and Foreign Literature department of the Mordovian National Pedagogical Institute (later the Mordovia State University), for a quarter of a century, Bakhtin was promoting teaching approaches that would support students’ informed, independent, analytical and reflexive learning. According to the minutes from different department meetings at his university, over the years, Bakhtin struggled to define and improve his own guidance and teaching in the Literature studies and the overall work of his department. His three pedagogical goals for a literary lecture were: 1) Communication of certain information on a given topic - establishing the level of students’ familiarity with the topic; 2) Fostering students’ scientific thinking; and 3) Fostering students’ aesthetic perception and taste. Some of his former students emphasized his erudition, pedagogic skill, and ability to stimulate his students’ imagination and reflective thinking
M. M. Bakhtin as a University Professor
This article presents M. M. Bakhtin as a University professor through his own views of on the nature of university teaching: lecturing, seminars and colloquia, engaging students in debates and reflexive analysis of literary texts, “scientific thinking”, and working with bibliography. As a Chair of Russian and Foreign Literature department of the Mordovian National Pedagogical Institute (later the Mordovia State University), for a quarter of a century, Bakhtin was promoting teaching approaches that would support students’ informed, independent, analytical and reflexive learning. According to the minutes from different department meetings at his university, over the years, Bakhtin struggled to define and improve his own guidance and teaching in the Literature studies and the overall work of his department. His three pedagogical goals for a literary lecture were: 1) Communication of certain information on a given topic - establishing the level of students’ familiarity with the topic; 2) Fostering students’ scientific thinking; and 3) Fostering students’ aesthetic perception and taste. Some of his former students emphasized his erudition, pedagogic skill, and ability to stimulate his students’ imagination and reflective thinking
Explicit Solution to the N-Body Calogero Problem
We solve the N-body Calogero problem, \ie N particles in 1 dimension subject
to a two-body interaction of the form \half \sum_{i,j}[ (x_i - x_j)^2 + g/
{(x_i - x_j)^2}], by constructing annihilation and creation operators of the
form , where is
a modified momentum operator obeying %!!!!!!! Heisenberg-type commutation
relations with , involving explicitly permutation operators. On the other
hand, can be interpreted as a covariant derivative
corresponding to a flat connection. The relation to fractional statistics in
1+1 dimensions and anyons in a strong magnetic field is briefly discussed.Comment: 6 p., latex, USITP-92-
Mathematical description of matter exchange between water components and adsorbing surface of filter medium of water purification units
The article presents the theory of mass transfer processes between water
polluting components and the adsorbing surface of filter medium of water
purification units
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