Gauss-Bonnet Term on Vacuum Decay

Abstract

We study the effect of the Gauss-Bonnet term on vacuum decay process in the Coleman-De Luccia formalism. The Gauss-Bonnet term has an exponential coupling with the real scalar field, which appears in the low energy effective action of string theories. We calculate numerically the instanton solution, which describes the process of vacuum decay, and obtain the critical size of bubble. We find that the Gauss-Bonnet term has a nontrivial effect on the false vacuum decay, depending on the Gauss-Bonnet coefficient.

18 pages, 7 figures, references added, 2 figures replacement, discussion about thin-wall approximation revised, to appear in PHYS. LETT. B

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• Vacua in novel 4D Einstein-Gauss-Bonnet Gravity: pathology and instability?
• Ghost-free Gauss-Bonnet Theories of Gravity
• The Instability of Vacua in Gauss-Bonnet Gravity
• Cosmology of the Spinor Emergent Universe and Scale-invariant Perturbations
• The vacuum bubbles in de Sitter background and black hole pair creation
• Instanton solutions mediating tunneling between the degenerate vacua in curved space
• Oscillating instanton solutions in curved space
• G-Curvaton
• Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Quantum creation of traversable wormholes ex nihilo in Gauss-Bonnet-dilaton gravity
• Fluctuating solutions for the evolution of domain walls
• Vacuum decay and bubble nucleation in $f(R)$ gravity
• Revised $f_{\mathrm{NL}}$ parameter in Curvaton Scenario
• Vacuum decay and bubble nucleation in the anti-de Sitter black holes
• Effects of quantum corrections to Lorentzian vacuum transitions in the presence of gravity