Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant modelsTools Garbrecht, Björn and Millington, Peter (2018) Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models. Physical Review D, 98 (1). 016001 /1-016001 /27. ISSN 2470-0029
AbstractFor a scalar theory whose classical scale invariance is broken by quantum effects, we compute self-consistent bounce solutions and Green's functions. Deriving analytic expressions, we find that the latter are similar to the Green's functions in the archetypal thin-wall model for tunneling between quasi-degenerate vacua. The eigenmodes and eigenspectra are, however, very different. Large infrared effects from the modes of low angular momentum j = 0 and j = 1, which include the approximate dilatational modes for j = 0, are dealt with by a resummation of one loop effects. For a parametric example, this resummation is carried out numerically.
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