21 research outputs found

    Stable Chromomagnetic QCD Vacuum and Confinement

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    The stable chromomagnetic vacuum for SU(2) Yang-Mills theory found earlier is shown to give a model for confinement in QCD, using Wilson loop, and a linear potential (in the leading order) for quark-antiquark interaction. The coefficient kk in this potential is found to be 0.25GeV2\sim 0.25 GeV^2, in satisfactory agreement with non-relativistic potential model calculations for charmonium. At finite temperature, the real effective energy density found earlier is used to obtain estimates of the deconfining temperature agreeing reasonably with lattice study for SU(2).Comment: Talk delivered at the conference on 'Strong Interactions in the 21st Century', held at the Tata Institute of Fundamental Research, Mumbai, Feb. 10 - 12, 201

    Solution of quasi-periodic fracture problems by the representative cell method

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    Abstract A general scheme for the solution of linear elastic quasi-periodic fracture problems is presented. The simplest type of such problems is characterized by a nonperiodic stress state in a domain with translational symmetry. Employing the discrete Fourier transform reduces the initial problem to a problem of a representative cell with speci®c boundary conditions which may be solved analytically or numerically. The procedure for solving the problem by the ®nite element method is developed. The suggested technique is employed for the solution of the problem of antiplane deformation of a strip weakened by a periodic array of arbitrary loaded cracks
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