Abstract
Using the Gaussian effective potential (GEP) method, we examine the quantized λϕ4 model in detail. The criterion for existence of either a symmetric phase or a broken phase is shown to be related to the bare parameters σ0 and λ0 in [Formula: see text]. A running coupling parameter λ with its associated B(λ) function are introduced and numerically calculated for both phases. In either case, a finite λ0 exhibits as an ultraviolet stable fixed point.
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