1,011 research outputs found
Parallel extragradient-proximal methods for split equilibrium problems
In this paper, we introduce two parallel extragradient-proximal methods for
solving split equilibrium problems. The algorithms combine the extragradient
method, the proximal method and the hybrid (outer approximation) method. The
weak and strong convergence theorems for iterative sequences generated by the
algorithms are established under widely used assumptions for equilibrium
bifunctions.Comment: 13 pages, submitte
Functional Integral Approach in the Theory of Color Superconductivity
In this series of lectures we present the functional integral method for
studying the superconducting pairing of quarks with the formation of the
diquarks as well as the quark-antiquark pairing in dense QCD. The dynamical
equations for the superconducting order parameters are the nonlinear integral
equations for the composite quantum fields describing the quark-quark or
quark-antiquark systems. These composite fields are the bi-local fields if the
pairing is generated by the gluon exchange while for the instanton induced
pairing interactions they are the local ones. The expressions of the free
energy densities are derived. The binding of three quarks is also discussed.Comment: 21 pages, 2 figures, Lectures at the VIth Vietnam International
School in Theoretical Physics, Vung Tau, 27 December 1999 -- 08 January 200
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