The Lagrangian description of irreducible massless representations of the Poincaré group with the corresponding Young tableaux having two rows along with some explicit examples including the notoph and Weyl tensor is given. For this purpose the method of the BRST constructions is adopted to the systems of second-class constraints by the construction of an auxiliary representations of the algebras of constraints in terms of Verma modules. * 731 Mod. Phys. Lett. A 2001.16:731-746. Downloaded from www.worldscientific.com by GEORGE WASHINGTON UNIVERSITY on 02/08/15. For personal use only.
Recently, discrete sets of numbers, the-integers ZZ , have been proposed as numbering tools in quasicrystalline studies. Indeed, there exists a unique numeration system based on the irrational > 1 in which the-integers are all real numbers with no fractional part. These-integers appear as being quite appropriate to describing some quasilattices relevant to quasicrystallography when precisely is equal to 1+ p 5
We describe the state of the art in the field of radiative corrections for deep inelastic scattering. Different methods of calculation of radiative corrections are reviewed. Some new results for QED radiative corrections for polarized deep inelastic scattering at HERA are presented. A comparison of results obtained by the codes POLRAD and HECTOR is given for the kinematic regime of the HERMES experiment. Recent results on radiative corrections to deep inelastic scattering with tagged photons are briefly discussed.
The method of construction of auxiliary representations for a given Lie algebra is discussed in the framework of the BRST approach. The corresponding BRST charge turns out to be non -hermitian. This problem is solved by the introduction of the additional kernel operator in the definition of the scalar product in the Fock space. The existence of the kernel operator is proven for any Lie algebra.
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