Fluctuations about the Fubini-Lipatov instanton for false vacuum decay in classically scale invariant models

Abstract

For 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.

26 pages, 9 figures, revtex format; to match published version

References in corpus (6)

• Scale Invariant Instantons and the Complete Lifetime of the Standard Model
• State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in Standard Model
• Green's function method for handling radiative effects on false vacuum decay
• Real time response on dS_3: the Topological AdS Black Hole and the Bubble
• Stimulated Raman backscattering of laser radiation in deep plasma channels
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Cited by in corpus (13)

• Functional methods for false vacuum decay in real time
• Radiative effects on false vacuum decay in Higgs-Yukawa theory
• Gradient effects on false vacuum decay in gauge theory
• Exact one-loop false vacuum decay rate
• Fifth-Force Screening around Extremely Compact Sources
• Schwinger effect and false vacuum decay as quantum-mechanical tunneling of a relativistic particle
• Two-loop corrections to false vacuum decay in scalar field theory
• Instability of bubble expansion at zero temperature
• Double-well instantons in finite volume
• False vacuum decay beyond the quadratic approximation: summation of non-local self-energies
• NNLO corrections to false vacuum decay rate in thin-wall approximation
• Quantum corrections to symmetron fifth-force profiles
• Piecewise linear potentials for false vacuum decay and negative modes