22,462 research outputs found
The Appell Function and Regge String Scattering Amplitudes
We show that each 26D open bosonic Regge string scattering amplitude (RSSA)
can be expressed in terms of one single Appell function in the Regge
limit. This result enables us to derive infinite number of recurrence relations
among RSSA at arbitrary mass levels, which are conjectured to be related to the
known SL(5,C) dynamical symmetry of . In addition, we show that these
recurrence relations in the Regge limit can be systematically solved so that
all RSSA can be expressed in terms of one amplitude. All these results are dual
to high energy symmetries of fixed angle string scattering amplitudes
discovered previously [4-8].Comment: 12 pages,no figur
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Direct Extrusion Freeforming of Ceramic Pastes
Microextrusion freeforming of ceramic lattices from high solids ceramic pastes provides
multi-scale hierarchical void structures with the advantages of low shrinkage stress and high
sintered density. Alumina lattices were directly fabricated using 80-500 Pm diameter filaments.
We report here on the implementation of design and fabrication of these scaffolds for band gap
materials and micro fluidic devices.Mechanical Engineerin
Quantum replication at the Heisenberg limit
No process in nature can perfectly clone an arbitrary quantum state. But is
it possible to engineer processes that replicate quantum information with
vanishingly small error? Here we demonstrate the possibility of probabilistic
super-replication phenomena where N equally prepared quantum clocks are
transformed into a much larger number of M nearly perfect replicas, with an
error that rapidly vanishes whenever M is small compared to the square of N.
The quadratic replication rate is the ultimate limit imposed by Quantum
Mechanics to the proliferation of information and is fundamentally linked with
the Heisenberg limit of quantum metrology.Comment: 9 + 16 pages, 2 figures, published versio
The SL(K+3,C) Symmetry of the Bosonic String Scattering Amplitudes
We discover that the exact string scattering amplitudes (SSA) of three
tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the
26D open bosonic string theory can be expressed in terms of the basis functions
in the infinite dimensional representation space of the SL(K+3,C) group. In
addition, we find that the K+2 recurrence relations among the LSSA discovered
by the present authors previously can be used to reproduce the Cartan
subalgebra and simple root system of the SL(K+3,C) group with rank K+2. As a
result, the SL(K+3,C) group can be used to solve all the LSSA and express them
in terms of one amplitude. As an application in the hard scattering limit, the
SL(K+3,C) group can be used to directly prove Gross conjecture [1-3], which was
previously corrected and proved by the method of decoupling of zero norm states
[4-10].Comment: 19 pages, no figure. v2: 20 pages, typos corrected and Eqs. added.
v3: 24 pages, Examples in sec. II added,"Discussion" added, to be published
in Nucl.Phys.
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