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Journal Article

Zoology of instanton solutions in flat potential barriers


Lavrelashvili,  George V.
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;


Lehners,  Jean-Luc
String Cosmology, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Battarra, L., Lavrelashvili, G. V., & Lehners, J.-L. (2013). Zoology of instanton solutions in flat potential barriers. Physical Review D, 88(10): 104012. doi:10.1103/PhysRevD.88.104012.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-3DB1-5
We perform a detailed study of the existence and the properties of O(4)-invariant instanton solutions in Einstein-scalar theory in the presence of flat potential barriers, i.e. barriers where the second derivative of the potential is small at the top of the barrier. We find a whole zoo of solutions: Hawking-Moss, Coleman-De Luccia (CdL), oscillating instantons, asymmetric CdL as well as other non-standard CdL-like solutions with additional negative modes in their spectrum of fluctuations. Our work shows how these different branches of solutions are connected to each other via "critical" instantons possessing an extra zero mode fluctuation. Overall, the space of finite action euclidean solutions to these theories with flat barriers is surprisingly rich and intricate.