Coherent and squeezed condensates in massless λ 4 theory
Abstract
Generalizing the Bogoliubov model of a weakly non-ideal Bose gas to massless λ4 theory we show that spontaneous breaking of symmetry occurs due to condensation in a coherent vacuum % which is energetically favoured compared to the perturbative one. and leads to a vacuum energy density which is lower than that obtained by Coleman and Weinberg using the one-loop effective potential method. We discuss the alternative of a squeezed condensate and find that for the massless λ 4 theory spontaneous symmetry breaking to a squeezed vacuum does not occur.
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