Abstract
We consider the two-particle irreducible Cornwall-Jackiw-Tomboulis effective action at finite temperature for a noncommutative real scalar field theory in four dimensions, with noncommutativity among space and time variables. By means of a Rayleig-Ritz variation, we study the solutions of a stripe-type nonuniform background, which depends on space and time, and hence on temperature. The analysis in the first approximation shows that such solutions appear in the planar limit, as already known, but also under normal noncommutativity, in an anisotropic region which has not been considered. Further, we show that the transition from the uniform ordered phase to the nonuniform one is first order.
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