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Approximate ground state in a model with spontaneous symmetry breakdown
Authors:J Ho?ek
Institution:(1) Nuclear Physics Institute, Czechosl. Acad. Sci., Rcaronezcaron, 250 68 Rcaronezcaron near, Prague, Czechoslovakia
Abstract:The spontaneous symmetry breakdown is treated by means of a variational approach. Use is made of coherent states of Glauber and of pairing states of BCS-type as the translationally invariant vacuum states for the discussion of the real scalar field lambdaphiv4 withm 0 2 lE0. The first type of trial states reproduces the usual approach to spontaneous symmetry breakdown (phivrarr-phiv) in the tree approximation (which is possible only form 0 2 <0), while the second type of trial states offers the possibility of spontaneous symmetry breakdown even form 0 2 =0.
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