Thermal instability in a gravity-like scalar theory

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We study the question of stability of the ground state of a scalar theory which is a generalization of the phi^3 theory and has some similarity to gravity with a cosmological constant. We show that the ground state of the theory at zero temperature becomes unstable above a certain critical temperature, which is evaluated in closed form at high temperature.
Four pages, two figures. Revised version published in the Physical Review D

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