50,894 research outputs found
Optimal Capacity of the Blume-Emery-Griffiths perceptron
A Blume-Emery-Griffiths perceptron model is introduced and its optimal
capacity is calculated within the replica-symmetric Gardner approach, as a
function of the pattern activity and the imbedding stability parameter. The
stability of the replica-symmetric approximation is studied via the analogue of
the Almeida-Thouless line. A comparison is made with other three-state
perceptrons.Comment: 10 pages, 8 figure
Gluino zero-modes for non-trivial holonomy calorons
We couple fermion fields in the adjoint representation (gluinos) to the SU(2)
gauge field of unit charge calorons defined on R^3 x S_1. We compute
corresponding zero-modes of the Dirac equation. These are relevant in
semiclassical studies of N=1 Super-symmetric Yang-Mills theory. Our formulas,
show that, up to a term proportional to the vector potential, the modes can be
constructed by different linear combinations of two contributions adding up to
the total caloron field strength.Comment: 17 pages, 3 Postscript figures, late
Boundary Dynamics Driven Entanglement
We will show how it is possible to generate entangled states out of
unentangled ones on a bipartite system by means of dynamical boundary
conditions. The auxiliary system is defined by a symmetric but not self-adjoint
Hamiltonian and the space of self-adjoint extensions of the bipartite system is
studied. It is shown that only a small set of them leads to separable dynamics
and they are characterized. Various simple examples illustrating this
phenomenon are discussed, in particular we will analyze the hybrid system
consisting on a planar quantum rotor and a spin system under a wide class of
boundary conditions.Comment: 26 pages, 5 figure
Probing the strange Higgs coupling at lepton colliders using light-jet flavor tagging
We propose a method to probe the coupling of the Higgs to strange quarks by
tagging strange jets at future lepton colliders. For this purpose we describe a
jet-flavor observable, , that is correlated with the flavor of the quark
associated with the hard part of the jet. Using this variable, we set up a
strangeness tagger aimed at studying the decay . We determine
the sensitivity of our method to the strange Yukawa coupling, and find it to be
of the order of the standard-model expectation.Comment: 6 pages, v2 accepted for publication in PR
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