4,476 research outputs found
Higher Spin Fields in Siegel Space, Currents and Theta Functions
Dynamics of four-dimensional massless fields of all spins is formulated in
the Siegel space of complex symmetric matrices. It is shown that
the unfolded equations of free massless fields, that have a form of
multidimensional Schrodinger equations, naturally distinguish between positive-
and negative-frequency solutions of relativistic field equations, i.e.
particles and antiparticles. Multidimensional Riemann theta functions are shown
to solve massless field equations in the Siegel space. We establish the
correspondence between conserved higher-spin currents in four-dimensional
Minkowski space and those in the ten-dimensional matrix space. It is shown that
global symmetry parameters of the current in the matrix space should be
singular to reproduce a nonzero current in Minkowski space. The \D-function
integral evolution formulae for 4d massless fields in the Fock-Siegel space are
obtained. The generalization of the proposed scheme to higher dimensions and
systems of higher ranks is considered.Comment: LaTeX, 38 pages, v.3: clarifications, acknowledgements and references
added, typos corrected, v.4: more comments and references added, typos
corrected, the version to appear in JHE
Система позиционирования ультразвукового сканера-дефектоскопа с упавлением от STL файла
Данная работа посвящена созданию системы позиционирования для ультразвукового сканера-дефектоскопа. Особенностью данной системы является возможность исследования объектов абсолютно любой формы без построения дополнительных алгоритмов исследования объекта, посредством управления головкой сканера заранее полученным STL файлом, что позволяет значительно снизить время исследования объекта
Parent field theory and unfolding in BRST first-quantized terms
For free-field theories associated with BRST first-quantized gauge systems,
we identify generalized auxiliary fields and pure gauge variables already at
the first-quantized level as the fields associated with algebraically
contractible pairs for the BRST operator. Locality of the field theory is taken
into account by separating the space--time degrees of freedom from the internal
ones. A standard extension of the first-quantized system, originally developed
to study quantization on curved manifolds, is used here for the construction of
a first-order parent field theory that has a remarkable property: by
elimination of generalized auxiliary fields, it can be reduced both to the
field theory corresponding to the original system and to its unfolded
formulation. As an application, we consider the free higher-spin gauge theories
of Fronsdal.Comment: LaTeX, amsart++, 40 pages, references added, final version to appear
in Commun. Math. Phy
- …